A wheel of diameter 40. 0 cm starts from rest and rotates with a constant angular acceleration of 4rpm. At the instant the wheel has computed its second revolution, compute the radial acceleration of a point on the rim in two ways: (a) using the relationship a_rad = w^2r and (b) from the relationship a_rad = v^2/r

Answers

Answer 1

(a) Using a_rad = \(\omega^{2r\): Approximately 100.53 m/s²

(b) Using a_rad = \(v^{2/r\): Approximately 31.42 m/s²

To solve the problem, let's first convert the angular acceleration from revolutions per minute (rpm) to radians per second squared (rad/s²):

Given:

Diameter of the wheel (D) = 40.0 cm

Radius of the wheel (r) = D/2 = 20.0 cm = 0.20 m

Angular acceleration (α) = 4 rpm

(a) Using the relationship a_rad = \(\omega^{2r\):

The angular acceleration (α) can be converted to angular velocity (ω) using the formula:

ω = αt, where t is the time taken to complete two revolutions.

Since the wheel starts from rest, the time taken to complete two revolutions is given by:

t = (2 rev) / (4 rpm) = 0.5 min = 30 s

Now we can calculate the angular velocity (ω):

ω = αt = (4 rpm) × (2π rad/1 min) × (1 min/60 s) × (30 s) = 4π rad/s

Using the relationship a_rad = \(\omega^{2r\), we can calculate the radial acceleration:

a_rad = \(\omega^{2r\) = (4π rad/s)² × 0.20 m

a_rad = 16π² × 0.20 m ≈ 100.53 m/s²

Therefore, the radial acceleration of a point on the rim, calculated using a_rad = \(\omega^{2r\), is approximately 100.53 m/s².

(b) Using the relationship a_rad = \(v^{2/r\):

The wheel starts from rest, so its initial linear velocity (v) is zero.

The final linear velocity (v) can be calculated using the formula:

v = ωr

The time taken to complete two revolutions is already calculated as 30 seconds, so we can find the final angular velocity (ω) as follows:

ω = αt = 4π rad/s (same as before)

Now we can calculate the final linear velocity (v):

v = ωr = (4π rad/s) × 0.20 m ≈ 2.513 m/s

Using the relationship a_rad = \(v^{2/r\), we can calculate the radial acceleration:

a_rad = \(v^{2/r\) = (2.513 m/s)² / 0.20 m

a_rad ≈ 31.42 m/s²

Therefore, the radial acceleration of a point on the rim, calculated using a_rad = \(v^{2/r\), is approximately 31.42 m/s².

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Related Questions

you stand on a bridge above a river and drop a rock into the water below from a height of 53m (assuming no air resistance)

you stand on a bridge above a river and drop a rock into the water below from a height of 53m (assuming

Answers

Given:

Height = 53 m

Given that the rock is dropped from the top of a bridge above the river, let's answer the following questions:

• (a). The acceleration of the rock as it falls.

Since the rock is in free fall, the acceleration of the rock as it falls will be the acceleration due to gravity.

a = 9.8 m/s²

Therefore, the acceleration of the rock as it falls is 9.8 m/s².

• (b). How long does it take to hit the water?

To find the time, apply the formula:

\(s=ut+\frac{1}{2}at^2\)

Where:

s = 53 m

t is the time

a is the acceleration

u is the initial velocity = 0 m/s

Let's solve for the time, t:

\(\begin{gathered} 53=0(t)+\frac{1}{2}*9.8*t^2 \\ \\ 53=4.9t^2 \\ \\ t^2=\frac{53}{4.9} \\ \\ t=\sqrt{10.82} \\ \\ t=3.29 \end{gathered}\)

Therefore, the time is 3.29 seconds.

(c). If the rock is dropped horizontally instead, there will be no change in the vertical velocity.

The time will also not change.

The time will be 3.29 seconds

ANSWER:

(a). 9.8 m/s^2

(b). 3.29 seconds

(c). 3.29 seconds

do you think they were used creatively?​

Answers

(ahhhggg ignore i dont remember how to delete answers)

No. In my opinion, they were not used creatively. They were used speciously, disingenuously, and unimaginatively.

As always, others are free to disagree.

A horizontal force of 20 N is applied to the object. Will the force applied make the object move?

Answers

It depends on two factors: The direction of application of force and the coefficient of friction, \(\mu\), between the object and the surface on which the object is placed.

If the direction of application of force is vertically downwards, then the object will not move for any value of \(\mu\).

If the coefficient of friction is zero, \(\mu=0\), then any value of force that is not in a vertically downward direction, the object will move.

If the direction of application of force is not vertically downwards, then it depends on the value of frictional force.

The kinetic energy of an object is proportional to the square of its _______?

Answers

Answer:

kinetic energy of an object is proportional to the square root of its boiling vocelity

HELP!!!

i’ve been stuck at this question for a whole day

HELP!!!ive been stuck at this question for a whole day

Answers

Have you done it already and when is this due
I’m stuck on algebra if anyone good help ASAP

Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2

Answers

The answer to the correct number of significant figures is 6.774.

What is quotient?

When a number(big) divided smaller number, the answer obtained greater than zero is called a quotient.

Divide 143.6 ÷ 21.2

143.6/21.2 = 1436/212

                  =6.77358

The quotient is rounded to three significant figures after decimal

143.6 ÷ 21.2 = 6.774

Thus, the answer to the correct number of significant figures is 6.774

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A factory line moves parts for an automobile at a constant speed of 0.22 m/s. How long does it take the parts to move 8.5 m along the line? A. 1.9 s B. 12 s C. 39 s D. 56 s

Answers

Answer: C. 39 s

Explanation:

We know the constant speed is 0.22 m/s. We have to get to 8.5 m. We divide 8.5 m by 0.22 = 38.6. After we estimate, 6 is greater than 5, so 39 s.

A student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s2, what is the weight of the object?

25 Kg
250 Kg
250 N
25 N

Answers

Answer:

250N

Explanation:

w = mg

m=25

g = 10

w=25x10

w=250

If a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s², then the weight of the object would be 250 N , therefore the correct answer is option C.

What is gravity?

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s2,

The weight of the object = 25 × 10

                                          = 250 N

Thus,  the weight of the object would be 250 N , therefore the correct answer is option C.

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Please answer the CORRECTLY and I will mark as brainly

Please answer the CORRECTLY and I will mark as brainly

Answers

Answer:

27.) Temperature

28.) Rate of Photosynthesis

29.) Rate of Photosynthesis vs. Temperature (°C)

30.) The rate of photosynthesis works optimally at around 25°C.

31.) Caffeine

32.) Mouse wheel revolution

33.) Population B: mice with extra 0.5mL of water

34.) a.) Food, b.) temperature c.) time on wheel (I think the teacher is hinting at water, but population B is given  0.5mL more water.)

35.) If we give mice caffeine, then the mice will run faster because caffeine releases adrenaline.

Explanation:

27.) Independent variables are usually the x-axis, thus it is temperature

28.) Dependent variables are usually the y-axis, thus it is rate of photosynthesis

29.) Easiest way to name graph is y-axis variable v. x-axis variable.

30.) Look at the graph

31.) Only difference is caffeine, thus independent variable is caffeine

32.) They want to see how caffeine affects the speed of the mice, thus the dependent variable is the mouse wheel revolution

33.) The control group are the mice not given the 0.5mL of caffeine.

34.) They said "populations were given the same amount of water, fed identical amount of food, room temperature kept at 24°C." Though I would argue that water is not the same since one group is given more water.

35.)  Read answer.

Answer:

photosynthesis is a processes by which plants get their proteins and

There is one foot in 12 inches.
How many feet are in 22.2 inches?
Round your answer to the nearest 10th's place.

Answers

Answer: 1.85 feet

Explanation:

Mass of a car is given as 6000 kg is moving with a velocity of 40 m/s. Calculate the momentum of the car

Answers

try mass by velocity and Ur answer will come

Answer:

Explanation:

given

m = 6000kg

v = 40 m/

p = ?

solution

p = mv

p = 6000kg × 40m/

p =240000kg.m/

What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. Rank from brightest to dimmest. To rank items as equivalent, overlap them.

Answers

There is no information or context provided about the bulbs in question, so it is not possible to rank them in order of brightness.

The brightness of a bulb depends on a variety of factors, including its wattage, voltage, and type of bulb. Without knowing more information about the bulbs, it is impossible to rank them accurately.Voltage is the difference in electric potential energy between two points in a circuit. It is created by the separation of electric charges, which generates an electric field. The greater the separation of charges, the greater the voltage.

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5. Look at the equations for maximum height, time of flight and
range. Check the dimensions of each of these, by putting them
into the equations.

Answers

The dimension of maximum height is M.

The dimension of time of flight is T.

The dimension of range of projectile is M.

What is the maximum height of a projectile?

The maximum height reached by a projectile is the highest vertical height attained by the projectile.

H = u² sin²θ / 2g

where;

u is the initial velocityθ is the angle of projectiong is acceleration due to gravity

The unit of maximum height is meters, so the dimension will be  M.

The time of flight of a projectile is the total time spent in air by a projectile.

T = 2usinθ / g

The unit of time of flight is seconds, and the dimension will be T.

The range of a projectile is given as;

R = u² sin(2θ) / g

The unit of range of a projectile is meters and the dimension is M.

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How can we relate density and pressure in liquids ??

Answers

Pressure increases with increasing depth. h2=2hh

How can we relate density and pressure in liquids ??

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It is the pressure at each point of a static fluid. When we immerse ourselves in a liquid, the pressure increases with depth.In the case of a liquid (constant density) the pressure increases linearly with depth.

⭐ ----------------------------------------------------------------------------------⭐

\( \bold{BRAINLY MENTALMENTE}\)

A person runs 15.0 km north then turns around and runs 10.0 Km south. what is his dstance

Answers

Answer:

25km

Explanation:

The person runs 15km Northward

 Turns around and runs 10km southward

The distance is the length of path covered by the person running.

This is given as:

 Distance  = Distance North + Distance South

Distance  = 15km + 10km  = 25km

Answer:

25km

Explanation:

cant explain but ik

A kayak took 5 hours to finish its trip on a river. If it traveled at an
average speed of 18 mph (mile per hour), what was the distance of the
trip?
miles

Answers

The distance of the trip that Kayak travelled at an average speed of 18 mph in 5 hour is 90 miles

How do I determine the distance?

First, we shall obtain the eqaution to determine the distance. This can be obtained as follow:

Speed is defined as:

Speed = distance / time

Cross multiply

Distance = speed × time

With the above formula, we can obtain the distance. Details below

The following data were obtained from the question:

Time = 5 hourSpeed = 18 mphDistance =?

Distance = speed × time

Distance = 18 × 5

Distance = 90 miles

From the above calculation, we conclude that the distance traveled is 90 miles

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what is the derivative with respect to time dxdt of the bowling ball's position-time relationship (x(t)

Answers

The derivative of the bowling ball's position-time relationship, x(t), with respect to time (dx/dt), represents the ball's instantaneous velocity as a function of time.

The derivative of x(t) with respect to time, written as dx/dt, tells us the rate of change of the ball's position concerning time. In other words, it gives us the ball's velocity at any given instant. To find the derivative, we differentiate the position function x(t) with respect to time t.

The specific formula for x(t) depends on the given situation, such as the ball's initial position, initial velocity, and any external forces acting on the ball. Once you have the position function x(t), use standard calculus techniques to find its derivative, dx/dt, which will give you the instantaneous velocity as a function of time.

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How does the spongy bone relate to its function​

Answers

Answer:

there is no spongy bone

Explanation:

7. Our state of mind affects how we observe our surroundings. What
mental state is the best for observing?
I
a) happy
c) nervous
b) relaxed d) excited

Answers

It has to be C Nervous

an electric dipole consisting of charges of magnitude 3.60 nC separated by 7.50 um is in an electric field of strength 1370 N/C.(a) Find the magnitude of the electric dipole moment.
(a) Find the magnitude of the electric dipole moment.
(b) Find the difference between the potential energies for dipole orientations parallel and antiparallel to →E
.

Answers

(a) The magnitude of the electric dipole moment is  0.0270 pC m

(b) The difference between the potential energies for the two orientations is 7.38 mJ and U_antiparallel is -3.69 mJ.

(a) The magnitude of the electric dipole moment can be calculated using the formula:

p = q * d

where q is the magnitude of each charge and d is the separation between the charges. Plugging in the values, we get:

p = 3.60 nC * 7.50 * 10^-6 m = 0.0270 pC m

(b) The difference between the potential energies for the two orientations can be calculated using the formula:

ΔU = p * E

where p is the electric dipole moment and E is the electric field strength. The potential energy is proportional to the dot product of the electric dipole moment and the electric field. So when the dipole moment is parallel to the electric field, the potential energy is at a maximum, and when it's antiparallel, the potential energy is at a minimum.

For the orientation parallel to the electric field:

U_parallel = p * E = 0.0270 pC m * 1370 N/C = 3.69 mJ

For the orientation antiparallel to the electric field:

U_antiparallel = -p * E = -0.0270 pC m * 1370 N/C = -3.69 mJ

The difference between the two potential energies is:

ΔU = U_parallel - U_antiparallel = 3.69 mJ - (-3.69 mJ) = 7.38 mJ

So the difference in potential energy between the two orientations is 7.38 mJ.

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If two identical airplanes are loaded such that one has the CG at the forward limit, and the other has the CG at the aft limit:

Group of answer choices

The airplane with the CG at the forward limit will go faster

The airplane with the CG at the aft limit will go faster

CG will not affect speed

The airplane with the CG at the forward limit is more likely to stall during the takeoff roll

Answers

If two identical airplanes are loaded such that one has the CG at the forward limit, and the other then the correct answer is: CG will not affect speed.

The position of the center of gravity (CG) affects the stability and control of an airplane, but it does not directly affect its speed. The speed of an airplane is determined by factors such as engine power, aerodynamic design, and external conditions (e.g., wind). The position of the CG primarily influences the longitudinal stability of the aircraft and its tendency to pitch up or down.

Therefore, the speed of the airplanes, in this case, would not be affected by the position of the CG. The airplane with the CG at the forward or aft limit may have different stability characteristics, but their speeds would not be inherently different due to CG placement alone.

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Question 8 (13 pts.) In an experiment to determine the factors affecting tensile strength in steel plates, the tensile strength (in kg/mm²), the manganese content (in parts per thousand), and the thi

Answers

The factors affecting tensile strength in steel plates are manganese content and thickness of the plate. The higher the manganese content and thickness, the higher the tensile strength.

Tensile strength is the maximum stress that a material can withstand while being stretched or pulled before breaking or losing strength. In an experiment to determine the factors affecting tensile strength in steel plates, two factors were measured: the manganese content and the thickness of the plate.The results showed that the tensile strength increased with higher levels of manganese content and thickness. This means that the higher the manganese content and thickness of the plate, the higher the tensile strength. It is important to note that these two factors are not the only ones that affect tensile strength, but they are significant factors that should be considered when designing and manufacturing steel plates.

The maximum stress that a material can withstand before breaking when it is allowed to be stretched or pulled is known as tensile strength.

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who has a iphone (age range 15-19 )

Answers

Hi friend! I have an iPhone. why do you ask????

If the measure of angle 2 is 8 x 10 and the measure of angle 6 is x&2-38, what is the measure of angle 8?

Answers

If the measure of angle 2 is 8 x 10 and the measure of angle 6 is x&2-38. The measure of angle 8 is also 160 degrees.

Angle 2 is given as 8 x 10, which means it has a measure of 80 degrees (assuming "x" is equal to 10). Angle 6 is given as x&2-38, which means its measure depends on the value of x. To find the measure of angle 8, we need to understand the relationships between these angles.
Based on the diagram, angle 2 and angle 6 are vertical angles. Vertical angles are congruent, meaning they have the same measure. Therefore, if angle 2 measures 80 degrees, then angle 6 also measures 80 degrees.
Angle 8 is adjacent to angle 6 and angle 2. Adjacent angles share a common side. Since angle 2 measures 80 degrees and angle 6 measures 80 degrees, the sum of angle 2 and angle 6 is 80 + 80 = 160 degrees.
Angle 8 is formed by the sum of angle 2 and angle 6. Therefore, t

In summary:
- Angle 2 measures 80 degrees.
- Angle 6 measures 80 degrees.
- The sum of angle 2 and angle 6 is 160 degrees.
- Therefore, angle 8 also measures 160 degrees.

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Which statements best describe magnetic fields? Check all that apply.

O A magnetic field is a region where a magnetic force is exerted on certain objects.

O A magnetic field behaves like a force vector.

O Magnetic field lines are strongest around the middle of the magnet.

O Magnetic field lines form closed loops that spread out of the north end of a magnet.

O Magnetic field lines form closed loops that spread out of the south end of a magnet.​

Answers

O.A magnetic field is a region where a magnetic force is exerted on certain objects.

O. A magnetic field behaves like a force vector.

O.Magnetic field lines form closed loops that spread out of the north end of a magnet.

Explanation:

1,2, and 4

Answer:

a,b,d

Explanation:

i took the test

Why do reference points change based on who is observing?

Answers

Reference points change based on who is observing because they are subjective and depend on the frame of reference of the observer. A frame of reference is the set of coordinates and axes used to describe the position and motion of objects.

Different observers may have different perspectives, locations, or velocities relative to the observed object, leading to different reference points.

For example, consider two people observing a moving car. If one person is standing still on the sidewalk, their reference point would be the stationary position relative to the car. However, if another person is in a moving car alongside the observed car, their reference point would be the moving car itself.

Therefore, each observer's unique frame of reference affects their perception and measurement of position, velocity, and other physical quantities. Recognizing the relativity of reference points is crucial in understanding how different observers may have different interpretations of the same event or object's motion.

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if you are observing the sky from latitude 32, and you wish to observe a star whose declination is 18 degrees, when it passes your meridian, what is its altitude?

Answers

When the star with a declination of 18 degrees passes your meridian, its altitude is 40 degrees.

To determine the altitude of a star when it passes your meridian, you need to know your latitude and the star's declination.

Latitude is the angular distance between your location on the Earth's surface and the equator. In this case, your latitude is 32 degrees.

Declination is the angular distance between the celestial equator (the projection of the Earth's equator onto the celestial sphere) and the star. In this case, the star's declination is 18 degrees.

When a star passes your meridian, it is directly overhead (at its highest altitude). The altitude of the star is equal to your latitude plus or minus its declination, depending on whether the star is to the north or south of the celestial equator.

In this case, the star's declination (18 degrees) is less than your latitude (32 degrees), so the star is to the north of the celestial equator. Therefore, the altitude of the star when it passes your meridian is:

Altitude = 90 degrees - (Latitude + Declination)

Altitude = 90 degrees - (32 degrees + 18 degrees)

Altitude = 40 degrees

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You serve a volleyball with a mass of 2.5 kg. The ball leaves your hand with a speed of 23 m/s. What is the kinetic energy of the ball?

Answers

Answer:

661.25, I believe!

Explanation:

KE = (1/2)(2.5)(23)^2

KE=(1.25)(529)

KE= 661.25


Clyde takes a flight from Bellingham to Seattle, which is a distance of 90-miles,
at a constant speed of 180-mi/hr. He then rents a car and drives to a friend's house in Mt.
Vernon at 60-mi/hr. Mt Vernon is 30-miles from Bellingham.
What is trip distance?

Answers

It would be 90 distance of mile because 60 plus 30 miles is 80 miles distances

One particle has a charge of -1.87 x 10^ -9 while another particle has a charge of -1.10 x 10^ -9 If the two particles are separated by 0.05 m, what is the electromagnetic force between them?

Answers

Answer: 7.41 x 10^ -6 N

Explanation:

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