A 2000-kg ferris wheel accelerates from rest to an angular speed of 20 rad/s in 12 s. approximate the ferris wheel as a circular disk with a radius of 30 m. what is the net torque on the wheel
Answers
The net torque on the Ferris wheel is approximately 1,500,000 N*m.
To find the net torque on the Ferris wheel, we'll need to use the following formula: τ = I * α, where τ represents torque, I is the moment of inertia, and α is the angular acceleration.
First, we need to find the angular acceleration (α). Since the Ferris wheel accelerates from rest (initial angular speed = 0) to an angular speed of 20 rad/s in 12 s, we can use the formula: α = (final angular speed - initial angular speed) / time.
α = (20 rad/s - 0 rad/s) / 12 s = 20/12 rad/s² = 5/3 rad/s²
Next, we'll find the moment of inertia (I) for a circular disk with a mass (m) of 2000 kg and a radius (r) of 30 m: I = (1/2) * m * r².
I = (1/2) * 2000 kg * (30 m)² = 1000 kg * 900 m² = 900,000 kg*m²
Now, we can find the net torque (τ) using the formula: τ = I * α.
τ = 900,000 kg*m² * 5/3 rad/s² ≈ 1,500,000 N*m
So, the net torque on the Ferris wheel is approximately 1,500,000 N*m.
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Related Questions
At time t = 0, a static object at position x = 0 starts to move such that its position x(t) satisfies the equation
d^2x/dt^2 + dx/dt = te^-t
Using Laplace Transforms, determine the function x(t)
Answers
Based on the above illustration, the required function is `x(t) = t²e⁻ᵗ / 2`.
Given: The equation is, `d²x/dt² + dx/dt = te⁻ᵗ`.
Required:
Find `x(t)` using Laplace Transforms.
Let us apply the Laplace transform to both sides of the equation.
d²x/dt² → s² X(s) - s x(0) - x'(0)dx/dt → s X(s) - x(0)x(0) is 0 as the object starts from rest.
Putting the given value, `d²x/dt² + dx/dt = te⁻ᵗ` in the Laplace transform of the equation, we get (s² X(s) - s x(0) - x'(0)) + (s X(s) - x(0)) = 1 / (s + 1)²
On solving the above equation for `X(s)`, we get `X(s) = 1 / (s + 1)³`
On taking the inverse Laplace transform, we get, `x(t) = t²e⁻ᵗ / 2`
Hence, the required function is `x(t) = t²e⁻ᵗ / 2`.
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A EELS (ELECTRIC ERLS) HOW DO THEY PRODUCE SUCH A
BIg shOCK? WHAT Voltage AND CURRENT?
Answers
Answer:
these organs make up four fifth's of it's body, and gives the electric eel ablity to generate two types of electric organ discharges:low voltage and high voltage
what would the answer be
Answers
Answer:
D
Explanation:
The density has a formula of d = m / V.
The volumes are given as the same.
The density will be
d_lead = 113/ V
d_aluminum = 27/V
It does not matter for this question what the volume actually is. Just note that the value of the volume is the same for each ball.
A: incorrect. If the volumes are the same, the density is not the same because the masses are different.
B: incorrect. If the density of the two balls was less than water, the two balls would float. Never going to happen unless the balls are thin shells.
C: incorrect. The exact opposite is the answer.
D: Correct. This is the answer.
suppose that the magnitude of the charge on the yellow sphere is determined to be 2q2q . calculate the charge qredqredq red on the red sphere. express your answer in terms of qqq , d1d1d 1 , d2d2d 2 , and θθtheta .
Answers
To calculate the charge qred on the red sphere, we need to use the concept of Coulomb's Law. According to Coulomb's Law, the electric force between two charges is given by the equation:
F = k * (q1 * q2) / r^2
Where F is the force between the charges, k is the electrostatic constant, q1 and q2 are the magnitudes of the charges, and r is the distance between the charges. In this case, we have the yellow sphere with charge magnitude 2q, and the red sphere with charge magnitude qred. The distance between the spheres can be expressed as d1 + d2.
Now, let's assume that the force between the charges is zero when the charges are in equilibrium. Therefore, we have: F = 0
k * (2q * qred) / (d1 + d2)^2 = 0
Now, solving for qred:
2q * qred = 0
qred = 0 / (2q)
Therefore, the charge qred on the red sphere is 0.
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38) In an inelastic collision, what quantities are conserved?
Answers
Inelastic collision, the momentum before and after the collision and the total energy of the system remains conserved.
A horizontal force, F, acts on a crate weighing 8 N, which moves on a horizontal floor at constant speed. The coefficient of friction between the crate and the surface is 0.25. The work done by F when the crate has moved 12 m is: Group of answer choices 2 J None of the above 24 J 96 J 0 J 10 J
Answers
The answer is 24 J
F K =.25*8 N
= 2N
F = f k = 2 N
Since a = 0
W = f * s
2 N * 12 m = 24 J
The coefficient of friction is a ratio used to quantify the friction force among two gadgets when it comes to the everyday pressure this is keeping them collectively. The coefficient of friction is critical attention at some stage in material selection and floor requirement determination.
For instance, ice on steel has a low coefficient of friction – the 2 materials slide past each different without problems – whilst rubber on the pavement has an excessive coefficient of friction – the substances no longer slide past each other without difficulty.
The coefficient of friction is dimensionless and it does not have any unit. it is a scalar, meaning the direction of the force does not have an effect on the physical quantity. The coefficient of friction depends on the gadgets that are causing friction.
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A roller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. Heading down the hill, it accelerates at 4.0 m/s2. What is the final velocity of the roller coaster? Round your answer to the nearest whole number.
m/s
Answers
Answer:
2as = v² - u²
v = √(2as + u²)
v = √(2 x 4 x 400 + 13²)
v = 58 m/s
Explanation:
Answer:
58
Explanation:
correct
Help Needed
What is the M.A. (Mechanical Advantage) of a screwdriver with a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm? Remember that there are 1000.0 mm in 1.0000 m, and while solving the problem show your work of course.
Answers
The mechanical advantage of the screwdriver is 0.208.
How to calculate mechanical advantage?Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.
The efficiency of a simple machine is determined by calculating their mechanical advantage (MA). Mechanical advantage is a measure of the force amplification attained by the machine.
According to this question, the screwdriver has a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm. The mechanical advantage can be calculated as follows:
M.A = 50/240
M.A = 0.208
Therefore, 0.208 is the mechanical advantage of the simple machine.
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do muscle and bone weigh more than fat
Answers
Answer: . You may have heard that muscle weighs more than fat. However, according to science, a pound of muscle and a pound of fat weigh the same. The difference between the two is density.
Explanation:
Wanda is taking photos using a lens that sees and records a very narrow view with a focal length longer than 60mm. When her friend asks what type of lens she is using for their photography outing, how does Wanda reply
Answers
Wanda can reply to her friend by saying that she is using a telephoto lens for their photography outing.
A telephoto lens is a type of camera lens that is designed to capture distant subjects by using a longer focal length than a standard lens. Telephoto lenses typically have a focal length of 60mm or longer, which allows them to see and record a very narrow view. This makes them ideal for capturing subjects that are far away, such as wildlife, sports events, and landscapes. Telephoto lenses are also popular for portrait photography because they can create a shallow depth of field, which helps to isolate the subject from the background.
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Two people leave points A and B at the same time. They intend to meet at point C at the same time. The person who leaves point A walks at a speed of 3 miles per hour. You and a friend are trying to determine how fast the person who leaves point B must walk. Your friend claims you need to know the length of . Is your friend correct? Explain your reasoning.
Answers
Your friend is correct. In order to determine the speed at which the person who leaves point B must walk, you need to know the length of AC and BC.
This is because the time it takes for each person to reach point C is dependent on the distance they must travel and the speed at which they are traveling.
Using the formula time = distance / speed, you can calculate the time it takes for each person to reach point C.
For the person leaving point A, the time it takes to reach point C is tA = AC / 3, since they are traveling at a speed of 3 miles per hour.
For the person leaving point B, the time it takes to reach point C is tB = BC / x, where x is the speed at which they are traveling.
Since both people are intended to reach point C at the same time, you can set the two equations equal to each other:
AC / 3 = BC / x
Cross-multiplying and solving for x gives you the speed at which the person leaving point B must walk:
x = 3BC / AC
Without knowing the length of AC and BC, you cannot determine the speed at which the person leaving point B must walk. Therefore, your friend is correct.
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If the density of water is 1 gram/cm3, this means that the mass of 100 cm3
of water should be *
Answers
Answer:
m = 100[gram]
Explanation:
In order to solve this problem, we must remember the definition of the density of matter, which is the relationship between mass and volume. The density can be calculated by means of the following formula.
\(Ro=m/V\)
where:
Ro = density = 1 [gramm/cm³]
m = mass [gramm]
V = volume = 100 [cm³]
Now replacing:
\(m=Ro*V\\m=(1\frac{grm}{cm^{3} } )*100cm^{3} \\m=100[gram]\)
What are 3 procedures of making a cardboard spinner help!! I need help ASAP
Answers
Answer:
please give me brainlist and follow
Explanation:
How to Make Paper Spinners
Step 1: Materials. All you really need is a normal sheet of paper. ...
Step 2: Fold Paper in Half. ...
Step 3: Tear/Cut Along the Fold. ...
Step 4: Fold the Half Sheets. ...
Step 5: Fold Down the Corners of Each Piece. ...
Step 6: Attach the Two Pieces to Create the Spinner. ...
Step 7: Shape Spinner for Best Spinning Abilities. ...
Step 8: Customize.
When is the average velocity of an object equal to the instantaneous velocity? a. This is always true. b. This is never true. c. This is the case only when the velocity is constant. d. This is the case only when the acceleration is constant. e. This is the case only when the velocity is decreasing at a constant rate.
Answers
When is the average velocity of an object equal to the instantaneous velocity is C. This is the case only when the velocity is constant.
The instantaneous velocity of an object is equal to the average velocity of an object when the velocity is constant or when the acceleration is zero, this is the case only when the velocity is constant. When an object has a constant velocity, the instantaneous velocity of the object is equivalent to the average velocity of the object. This is true because the velocity of the object remains constant over time.
For example, if an object travels at a speed of 20 meters per second for a time period of 5 seconds, then the instantaneous velocity at the end of the 5 seconds is 20 meters per second, and the average velocity of the object over the 5 seconds is also 20 meters per second. This is because the velocity remained constant throughout the entire time period. Therefore, option c is correct, this is the case only when the velocity is constant.
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26. A weight of 20N stretches a spring by 0.5cm. Calculate the
extension when the applied weight is 60N.
A. 0.25cm
B.1.5cm C. 2.0cm D. 4.0cm
Answers
Answer:
26 a weight of 2on stretcges
Two lamps rated 60W; 240V and 100W, 240Vrespectively are connected in series to a 240V power source. Calculate;
a) The resistance of each lamp.
b) The effective resistance of the circuit.
c) The current passing the lamps. pls answer correctly
Answers
Answer:
See the answers below.
Explanation:
The total power of the circuit is equal to the sum of the powers of each lamp.
\(P=60+100\\P=160 [W]\)
Now we have a voltage source equal to 240 [V], so by means of the following equation we can find the current circulating in the circuit.
\(P=V*I\)
where:
P = power [W]
V = voltage [V]
I = current [amp]
\(I = P/V\\I=160/240\\I=0.67 [amp]\)
So this is the answer for c) I = 0.67 [amp]
We know that the voltage of each lamp is 240 [V]. Therefore using ohm's law which is equal to the product of resistance by current we can find the voltage of each lamp.
a)
\(V=I*R\)
where:
V = voltage [V]
I = current [amp]
R = resistance [ohms]
Therefore we replace this equation in the first to have the current as a function of the resistance and not the voltage.
\(P=V*I\\and\\V = I*R\\P = (I*R)*I\\P=I^{2}*R\)
\(60 = (0.67)^{2}*R\\R_{60}=133.66[ohm] \\and\\100=(0.67)^{2} *R\\R_{100}=100/(0.66^{2} )\\R_{100}=225 [ohm]\)
b)
The effective resistance of a series circuit is equal to the sum of the resistors connected in series.
\(R = 133.66 + 225\\R = 358.67 [ohms]\)
what is the temperature of sweat when it is first produced? explain your answer.
Answers
The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.
What is the temperature of sweat when it is first produced?Our body begins to sweat when our body temperature goes up more than two degrees from normal which is 102 degree F. When you sweat, your body temperature drops back to the safe range which is 96.6 to 100.6 degrees F.
So we can conclude that The temperature of sweat when it is first produced is two degree more than normal temperature of the body because sweat removes extra heat from the body.
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A light bulb used in a slide projector draws a current of 6 amperes when operating on 120 volts.. the power consumed by th light bulb in watts is? B.)a light bulb used in a slide projector draws a cuurent of 6 amperes when operating on 120 volts. the resistance of the light bulb in ohms is?
a..05
b.20
c.720
d.none
Answers
When a light bulb used in a slide projector draws a current of 6 amperes while operating on 120 volts, the power consumed by the light bulb in watts is 720, and the resistance of the light bulb in ohms is 20. Thus, the correct option is B.
Why the resistance of a light bulb is 20 ohms?When we know that the current drawn by a light bulb is 6 amperes and the voltage applied to it is 120 volts, we can easily calculate the resistance of the light bulb, as follows:
Resistance (R) = Voltage (V) / Current (I)
here, V = 120V and I = 6A
Therefore, the resistance of the light bulb is:
R = V/I = 120/6 = 20 Ohms
The formula used to calculate the power (P) consumed by a light bulb is:
P = V × I
Here, the voltage (V) applied to the light bulb is 120 volts and the current (I) drawn by the light bulb is 6 amperes. So, the power consumed by the light bulb is:
P = 120 × 6 = 720 watts
Hence, the power consumed by the light bulb in watts is 720, and the resistance of the light bulb is 20 ohms.
Therefore, the correct option is B.
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A particular solid is an excellent conductor of thermal energy. Is it more likely to be a metal or a non-metal?
Answers
Consider two stars that we’ll call A and B. Both are the same distance from Earth. Star A is much smaller than star B, but it also has a much higher temperature. Which one do you think would appear brighter? Why?
Answers
Both stars A and B will have the same brightness to the earth because luminosity is dependent on the temperature and size where A is hotter but smaller and B is bigger but colder.
What makes a star brighter?There are several factors that determine the luminosity of a star namely, the size, temperature, distance and magnitude. The two main factors that determine luminosity of a star when the distance is the same are temperature and size.
When the temperature of a Star is higher than the other with equal distance from the earth the star is brighter than that with lower temperature. Also, when the size of a star is bigger, it possesses a higher surface area to absorb light and energy. This makes A and B as bright as the other.
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A unit has just crossed through a thickly vegetated area, and they have come upon a more open terrain. They should:
a. move in file
b. move in wedge
c. double time
d. high crawl
Answers
When a unit has just crossed through a thickly vegetated area and has come upon a more open terrain, the appropriate action would be to: a. move in file.
Moving in file means that the unit should arrange themselves in a single line, one after the other, as they navigate through the open terrain. This formation allows for better visibility and reduces the chances of friendly fire incidents. Moving in file helps maintain cohesion within the unit and facilitates communication and coordination among the members. Moving in a wedge formation (option b) is typically used when traversing through dense vegetation or in a tactical formation when conducting specific maneuvers. Double timing (option c) refers to moving at a faster pace than normal, often used in certain military training or conditioning exercises. High crawling (option d) is a low-profile movement technique used when trying to maintain cover and concealment in a prone position.
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If you rub a ballon against some cloth and try to attract sand will it attract?
Answers
The wall is positively charged, whereas it is negatively charged. If a woollen fabric is not used to massage it, it will not do so. When the sand was drawn inside the balloon, the same thing occurred.
Why are balloons attracted to each other?Positive charges pull away from negative charges. The balloon will attract the wool fabric if it is not touched since it contains an equal balance of negative and positive charges. Both balloons will reject one another when they are brushed with the wool cloth because they both receive negative charges.
Why does a charged balloon attract water?Positive and negative particles make up the water. Because positive and negative ions are attracted to one another, when you bring the balloon near the water, the positively charged water molecules will pull the water in the direction of the negatively charged balloon.
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A 10 kg sled is sliding down a hill at 5 m/s what is the Kinetic energy of the sled
Answers
Answer:
Explanation:
kinetic energy=1/2*mass*(velocity)^2
=1/2*10*(5)^2
=5*25
=125 joule
________ is composed of alternating bands of light and dark silicate minerals.
Answers
Gneiss shows such banding. Alternating bands are known to Geologists as Gneissose Banding, and is used to instantly classify the metamorphic rock.
What is made up of bands of bright and dark silicate minerals that change throughout time?Aluminum, iron, magnesium, and calcium are all present in various concentrations in the silicate mineral family. Tiny, glassy red garnet crystals are a common feature of gneiss and schist. a foliated, coarse-grained metamorphic rock that frequently includes bands of alternating light- and dark-colored minerals.
What kind of rock has alternating mineral bands as a feature?Schist forms at lower pressures and temperatures than gneiss. Gneiss almost always exhibits a banded texture with alternating lighter and darker coloured bands and lacks a clear cleavage. In the old crust of continental shields, gneisses are typical.
Such banding is visible in gneiss. Geologists employ alternating bands, known as "gneissose banding," to quickly classify metamorphic rock.
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Opera singer Caruso is said to have a made a crystal chandelier shatter with his voice. This is a demonstration of which effect?
A. an echo
B. beats
C. resonance
D. sound refraction
Answers
Opera singer Caruso is said to have a made a crystal chandelier shatter with his voice. This is a demonstration of resonance.
The shattering of a crystal chandelier with a voice is an example of resonance. Resonance occurs when an object is forced to vibrate at its natural frequency by a sound wave with the same frequency. In this case, Caruso's voice produced sound waves that matched the natural frequency of the chandelier, causing it to vibrate and eventually shatter. Therefore, the answer is C. resonance.
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An airplane can fly with an airspeed of 245 mph. If the airplane encounters a headwind of 25 mph (a headwind is one blowing straight at the airplane), what is the ground speed of the airplane
Answers
The ground speed of an airplane is the speed at which it is actually moving over the ground. To calculate the ground speed, you subtract the speed of the headwind from the airspeed of the airplane.
In this case, the airspeed of the airplane is 245 mph and there is a headwind of 25 mph. To find the ground speed, we subtract the headwind speed from the airspeed:
Ground speed = Airspeed - Headwind speed
Ground speed = 245 mph - 25 mph
Ground speed = 220 mph
Therefore, the ground speed of the airplane is 220 mph.
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If for a given pair of media CR
, CY
and CB
are the critical angles for red, yellow and blue colours respectively,
then
Answers
CR < CY < CB
Which factors affect the critical angle for a given pair of media?The factors which affect the critical angle are
(a) The colour (or wavelength) of light
(b) The temperature
(i) Effect of colour of light: The critical angle for a pair of media is less for the violet light and more for the red light. Thus the critical angle increases with the increase in wavelength of light.
(ii) Effect of temperature: The critical angle increases with increase in temperature because on increasing temperature of medium, its refractive index decreases.
According to the question,
μ 1 sinCR =1
μ 2 sinCY =1
μ 3 sinCB =1
μ 1 > μ 2 and μ 2 > μ 3
⟹μ 1 > μ 2 > μ 3
CR < CY < CB
Thus,
The critical angle increases with the increase in wavelength of light.
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An object accelerates from rest to a velocity of 22 m/s over 35 m what was it’s acceleration
Answers
Answer:
6.91 m/s/s
Explanation:
First Solve for t (displacement)
t=2s/(v+u) 2x35m= 70m/22 m/s= 3.18 seconds
a=acceleration
v= final velocity
u= initial velocity
s= displacement
t= time
Then acceleration: a=v−u/t
a= 22m/s-0m/s = 22m/s divide by 3.18s = 6.918m/s/s
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A heart dysfunction that can cause death is ventricular fibrillation. This is an uncoordinated quivering of the heart as opposed to regular beating. An electric shock to the chest can cause momentary paralysis of the heart muscle, after which the heart will sometimes start organized beating again. A defibrillator is a device that applies a strong electric shock to the chest over a time of a few milliseconds. The device contains a capacitor of several microfarads, charged to several thousand volts. Electrodes called paddles, about 8 cm across and coated with conducting paste, are held against the chest on both sides of the heart, their handles are insulated to prevent injury to the operator, who calls clear and pushes a button on one paddle to discharge the capacitor through the patients chest.
assume that the capacitor in the defibrillator is 10 uF and is charged to 5,000 volts.
a. how much charge is stored in the capacitor before it is discharged?
b. how much energy is released when the capacitor is discharged?
c. if the capacitor completely discharges in 2.5 ms, what is the average current delivered by the defibrillator?
d. what is the average power delivered?
Answers
The correct answer to all questions about the defibrillator are: a) Q= 50 μC b) E= 125J c) I= 20A d) P= 50kW
A defibrillator is a device that is used to apply a strong electric shock to the chest in order to restart the heart in case of ventricular fibrillation.
The device contains a capacitor that is charged to a certain voltage and is then discharged through the patient's chest using electrodes called paddles.
a. The charge stored in the capacitor before it is discharged can be calculated using the formula Q = C * V, where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage in volts.
In this case, the capacitance is 10 μF or 10 * 10^-6 F, and the voltage is 5,000 V. Therefore, the charge stored in the capacitor is:
Q = 10 * 10^-6 F * 5,000 V = 50 * 10^-3 C = 50 μC
b. The energy released when the capacitor is discharged can be calculated using the formula E = 1/2 * C * V^2, where E is the energy in joules, C is the capacitance in farads, and V is the voltage in volts.
In this case, the capacitance is 10 uF or 10 * 10^-6 F, and the voltage is 5,000 V. Therefore, the energy released is:
E = 1/2 * 10 * 10^-6 F * (5,000 V)^2 = 125 J
c. The average current delivered by the defibrillator can be calculated using the formula I = Q / t, where I is the current in amperes, Q is the charge in coulombs, and t is the time in seconds.
In this case, the charge is 50 μC or 50 * 10^-3 C, and the time is 2.5 μs or 2.5 * 10^-3 s. Therefore, the average current delivered is:
I = 50 * 10^-3 C / 2.5 * 10^-3 s = 20 A
d. The average power delivered by the defibrillator can be calculated using the formula P = E / t, where P is the power in watts, E is the energy in joules, and t is the time in seconds.
In this case, the energy is 125 J, and the time is 2.5 μs or 2.5 * 10^-3 s. Therefore, the average power delivered is:
P = 125 J / 2.5 * 10^-3 s = 50,000 W or 50 kW
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Drag the tiles to the correct boxes to complete the pairs.
Match the human activity with how It intensifies the greenhouse effect.
deforestation
burning fossil fuels
waste disposal in landfills
primary cause of human-created
carbon emissions
destroys natural carbon sinks,
leading to more CO2 in the air
emits methane from decomposing
matter
Answers
Answer:
1Burning of fossil fuel
2Deforestation
3Waste disposal in landfills
Explanation: took test:)
Human activities intensify the greenhouse effect as:
Deforestation -destroys natural carbon sinks, leading to more CO₂ in the air
Burning fossil fuels - the primary cause of human-created carbon emissions
Waste disposal in landfills - emits methane from decomposing matter
What is the greenhouse effect?The greenhouse effect can be defined as a process that occurs when energy heats the planet's surface, but greenhouse gases in the atmosphere stop the heat from returning directly to space and warm the earth.
The natural greenhouse effect retains the earth from freezing at the below-freezing temperature that it will freeze if there were no greenhouse gases. Human activities increase greenhouse gases and trap larger amounts of heat, which cause the Earth's temperature to grow warmer over time.
The Sun delivers most of its energy as visible light and near-infrared light, while the average surface temperature of the Earth emits longer-wavelength infrared IR and radiant heat. These gases emit radiant heat in all directions, traveling heat to the air and warming other greenhouse gases in the atmosphere.
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