Prior to the music CD, stereo systems had a phonographic turntable on which vinyl disk recordings were played. A particular phonographic turntable starts from rest and achieves a final constant angular speed of 33 1/3 rpm in a time of 4.5 s. How many rotations did the turntable undergo during that time? The classic Beatles album Abbey Road is 47 min and 7 s in duration. If the turntable requires 8 s to come to rest once the album is over, calculate the total number of rotations for the complete start-up, playing, and slowdown of the album.
1) How many rotations did the turntable undergo during 4.5 s? (Express your answer to two significant figures.)
2) Calculate the total number of rotations for the playing of the album. (Express your answer to two significant figures.)
3) Calculate the total number of rotations for the complete slowdown of the album. (Express your answer to two significant figures.)
Answers
The rotations of the album, obtained using the kinematic equations for circular motions are;
1) 1.25 rotations
2) 1,574.03 rotations
3) 20/9 rotations
What are the kinematic equations of motion?The kinematic equations of motion are equations that describe the motion of an object alone rather than considering the force that causes the motion.
The kinematic equations for the angular motion of the vinyl disk are;
ω = ω₀ + α·t
θ = ω₀·t + α·t²
ω² = ω₀² + 2·α·θ
Where;
α = The angular acceleration
ω = The angular speed = 33 1/3 rpm = 100/3 rpm
100/3 rpm = 100/3 × 2·π/60 radian per second = (10/9)·π rad/s
ω₀ = The initial angular speed = 0
Therefore;
α = ((10/9)·π - 0)/4.5 = 20/81 rad/s²
Angle rotation, is; θ = 0 × t + (20/81)·π × 4.5² = 2.5·π
The angle of rotation = 2.5·π radians, which is 2.5·π/(2·π) = 1.25 rotations
The number of rotations to achieve 33 1/3 rpm = 1.25 rotationsThe number of rotation to come to rest is found as follows;
α = (0 - (10/9)·π)/8 = -5·π/36 rad/s²
ω² = ω₀² + 2·α·θ
θ = (ω² - ω₀²)/(2·α)
θ = (0² - ((10/9)·π)²)/(2×(-5·π/36)) = 40·π/9 radians
40·π/9 radians = (40·π/9)/(2·π) = 20/9 rotations
The number of rotation to come to rest = 20/9 rotationsThe number of rotations during the playing time is therefore;
(100/3) × (47 + 7/60) rotations
The total number of rotations = 20/9 rotations + (100/3) × (47 + 7/60) rotations + 1.25 rotations ≈ 1574.03 rotationsLearn more on angular motion here: https://brainly.com/question/30282861
#SPJ4
Related Questions
Which of the following refers to a force of resistance that acts on an object
when the object moves against other matter?
O A. Balanced force
B. Inertia
C. Friction
D. Contact force
Answers
Una lancha sube y baja por el paso de las olas cada 3.2 segundos, entre cresta y cresta hay una distancia de 24.5 m. ¿cual es la rapidez con la que se mueven las olas?
Answers
Answer:
7.656 m/s
Explanation:
El sonido viaja a cierta velocidad y tiene una frecuencia y longitud de onda. La relación entre la velocidad del sonido (V), su frecuencia (f) y la longitud de onda (λ) es la misma que para todas las ondas, está dada por la ecuación:
V = fλ
pero f = 1/T
∴ V = λ/T
donde T es el período
Dado que:
período (T) es el tiempo necesario para subir y bajar = 3.2 s
La distancia entre dos crestas es la longitud de onda (λ) = 24.5 m
V = λ/T = 24.5 / 3.2 = 7.656 m/s
V = 7.656 m/s
I need help asap please
Answers
Answer:
I dont know answer Sorry For that thank u
In your opinion, Is the big bang theory a valid explanation for the beginning of time?
If so, what areas of research do you think has the greatest possibly for more discovery?
If not, what problems in the theory leads you to reject it? What might be an alternate theory?
(please give me a good long well thought out answer)
Answers
Answer:
I believe that the Big Bang Theory is a valid explanation for the beginning of time. Areas of research that have the greatest potential for more discovery include dark matter and dark energy, the nature of the inflationary period, and the origin of the matter-antimatter asymmetry.
Problems with the Big Bang Theory that lead me to reject it include the lack of a satisfactory explanation for the origin of the initial conditions of the universe, the lack of a satisfactory explanation for the origin of the matter-antimatter asymmetry, and the lack of a satisfactory explanation for the origin of the inflationary period. An alternate theory could be the Cyclic Universe Theory, which proposes that the universe goes through an infinite cycle of expansion and contraction.
Design two separate oscillators of 97 kHz with NE555, crystal
oscillator and 79 MHz.
Answers
To design separate oscillators of 97 kHz and 79 MHz using the NE555 timer and a crystal oscillator.
Follow the steps below:
Designing an oscillator with the NE555 timer for a frequency of 97 kHz:
1. Connect pins 1 (Ground) and 8 (Vcc) of the NE555 to the appropriate power supply.
2. Connect pin 4 (Reset) to Vcc to disable the reset function.
3. Connect pin 5 (Control Voltage) to Ground.
4. Connect a resistor (R1) and a capacitor (C1) in series between pins 6 (Threshold) and 7 (Discharge). Choose values for R1 and C1 to set the desired time constant.
5. Connect pin 2 (Trigger) to the junction of R1 and C1.
6. Connect pin 3 (Output) to an appropriate load or circuit.
7. Provide necessary decoupling capacitors and stabilize the power supply.
8. Adjust the values of R1 and C1 to achieve the desired frequency of 97 kHz.
Designing an oscillator with a crystal oscillator for a frequency of 79 MHz:
1. Choose a crystal oscillator with a resonant frequency of 79 MHz.
2. Connect the crystal oscillator component to the appropriate pins of a suitable oscillator circuit or microcontroller.
3. Provide necessary decoupling capacitors and stabilize the power supply.
4. Configure the oscillator circuit or microcontroller to use the crystal oscillator component as the clock source.
5. Program or adjust the oscillator circuit or microcontroller to generate an output signal with a frequency of 79 MHz.
To know more about crystal oscillator click here:
https://brainly.com/question/29671635
#SPJ11
one of the various ways in which parties contribute to democratic governance is by
Answers
"One of the various ways in which parties contribute to democratic governance is by engaging in political competition and providing voters with choices among candidates and policy proposals.
Parties contribute to democratic governance by providing citizens with a channel through which they can be involved in the political process and by serving as intermediaries between citizens and government. Political parties provide voters with policy options and choices among candidates, encouraging citizens to participate in elections and engage with the political process. Political competition between parties encourages the development of new policy ideas and ensures that political leaders remain accountable to the electorate, as they are dependent on voters' support to remain in power. Political parties also provide a means of organizing government and the legislative process, facilitating the development and implementation of policy objectives.
To learn more about democratic governance
https://brainly.com/question/33080983
#SPJ11
Give one example which describes Newton's first law of motion.
Answers
Answer:
a moving car
Explanation:
a body remains in its constant state unless un extenal force is applied.
The quantity that is the same at all points in a series circuit is: current voltage power resistance
Answers
Answer:
On this page, we'll outline the three principles you should understand regarding series circuits: Current: The amount of current is the same through any component in a series circuit. Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances
The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).
The current in a series circuit is constant all the way around. This means that the same amount of current flows through each component, such as resistors, lamps, or other devices, connected in series.
The current is measured in units of amperes (A) and is determined by the voltage applied to the circuit and the total resistance in the circuit according to Ohm's law (I = V/R).
Therefore, The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).
To know more about the current:
https://brainly.com/question/15141911
#SPJ4
why are illegal drugs dangerous
Answers
Answer:
Illegal drugs are dangerous because once someone starts doing drugs they go insane for more and their demand for my drugs can be so dangerous that they would even sometimes harm the people close to them and, In some cases people start to hate them selves and some even killed themselves.
Gravitation Assignment
Use G = 6.67 x 10 -11Nm2kg-2
1. The gravitational field strength on Jupiter is 25 Nkg-1 and the radius of Jupiter is 7.1 x 107m. Determine the mass of Jupiter.
2. An object of mass 5kg is placed on Jupiter. Using your answer from question 1determine the weight of this object.
3. Two masses 2kg and 4 kg are separated by a distance of 3cm. Determine the gravitational force between them
4. The Earth and moon are separated by a distance of 384,400 km from their centers.
Determine where in between them, an object of mass m, would experience no force.
Mass of Earth = 5.98 x 1024 kg
Mass of moon = 7.35 x 1022 kg
I appreciate whoever completes this 20 mark question for me so much : )
Answers
Mass is how heavy is an object is
which of these neutron stars must have had its angular momentum changed by a binary companion?
Answers
if a neutron star is observed to be a pulsar or part of an X-ray binary system, it is likely that its angular momentum has been changed by its binary companion.
Neutron stars are incredibly dense objects that form from the remnants of massive stars after a supernova explosion. Some neutron stars are found in binary systems, where they orbit around another star or neutron star. In these systems, the neutron star's angular momentum can be affected by its companion star, leading to various observable phenomena.
One example is a pulsar, which is a rapidly rotating neutron star that emits beams of electromagnetic radiation from its magnetic poles. These beams can be observed as regular pulses of radiation as the pulsar rotates. If a neutron star is observed to be a pulsar in a binary system, it is likely that its angular momentum has been changed by its companion star.
Another example is an X-ray binary, which is a binary system in which one of the stars is a neutron star or black hole. In these systems, matter from the companion star is accreted onto the neutron star or black hole, emitting X-rays in the process. The accretion process can also change the angular momentum of the neutron star.
Therefore, if a neutron star is observed to be a pulsar or part of an X-ray binary system, it is likely that its angular momentum has been changed by its binary companion.
Learn more about angular momentum at: https://brainly.com/question/29512279
#SPJ11
what is special about the elements in group 18
Answers
An air mass that is moving from the north pole toward the equator would be turned to the ? because of the spinning of the earth on its axis
(finish the question by putting in the correct word where the ? is)
Answers
Answer:
An air mass that is moving from the north pole toward the equator would be turned to the East because of the spinning of the earth on its axis
Explanation:
An air that is moving from the North pole toward the equator will be turned to the East (right) because of the spinning of the earth around its own axis.
What is the Coriolis effect?The Coriolis Effect can be described as an apparent effect generated by a rotating frame of reference. The effect takes place when an object moving along a straight path can be viewed from a non-fixed frame of reference.
The moving frame of reference is the one in which the Earth rotates at a fixed speed. The Coriolis effect creates wind patterns near the earth’s surface, that move to the east toward the equator and to the west toward the poles. These wind patterns are responsible for moving clouds around the globe and creating weather patterns.
Coriolis force can be described as a fictitious force resulting from the rotational movement of the earth. It only affects the wind direction and not the wind speed. The magnitude of Coriolis force can be calculated from the wind speed.
Learn more about Coriolis force, here:
https://brainly.com/question/26583295
#SPJ2
7. The______
is used for short approaches from the rough and fairways of less than 125 yards.
No. 4 iron
No. 7 wood
putter
pitching or sand wedge
Answers
Answer:
Putter
Explanation:
I looked it up. It said golf club but putter is the same thing I believe. :)
Answer:
pitching or sand wedge
Explanation:
his club can also be used to get out of sand traps.
A particle moves according to the position function s(t) = e^6t sin(7t).
Enclose arguments of functions in parentheses. For example, sin(2t).
(a) Find the velocity function.
v(t)=
__________
(b) Find the acceleration function.
a(t)=
__________
Answers
A particle moves according to the position function s(t) = e^6t sin(7t). Enclose arguments of functions in parentheses. The correct answer is (a) The velocity function is v(t) = e^(6t)(6sin(7t) + 7cos(7t)).
(b) The acceleration function is a(t) = e^(6t)(36sin(7t) + 72cos(7t) - 42sin(7t)).
(a) To find the velocity function, we need to take the derivative of the position function s(t) with respect to time t. The position function is s(t) = e^(6t)sin(7t).
Using the product rule, we get:
v(t) = d/dt(e^(6t)sin(7t)) = e^(6t)(6sin(7t) + 7cos(7t))
(b) To find the acceleration function, we need to take the derivative of the velocity function v(t) with respect to time t:
a(t) = d/dt(e^(6t)(6sin(7t) + 7cos(7t)))
Again, we use the product rule and get:
a(t) = e^(6t)(36sin(7t) + 72cos(7t) - 42sin(7t))
Your answer:
(a) The velocity function is v(t) = e^(6t)(6sin(7t) + 7cos(7t)).
(b) The acceleration function is a(t) = e^(6t)(36sin(7t) + 72cos(7t) - 42sin(7t)).
Learn more about particle here:-
https://brainly.com/question/31598350
#SPJ11
Which description of Miranda,one of the satellites of Uranus,is CORRECT?
A) heavily cratered, icy surface with deformation and flowing due to heating in some regions
B) icy, frost-covered surface with vents of rising gas visible in the northern hemisphere
C) icy surface with chaotically varied terrain
D) rocky surface with active volcanoes
Answers
The correct description of Miranda, one of the satellites of Uranus, is:
C) icy surface with chaotically varied terrain.
Miranda is the smallest of Uranus's five major moons, known for its unique and chaotic terrain. The surface of Miranda is heavily cratered and composed mainly of water ice, with some rocky outcrops.
However, the most striking feature of Miranda is its chaotically varied terrain, which includes large canyons, ridges, and grooves that and overlap in an irregular pattern. It is believed that this chaotic terrain is the result of geological activity in the moon's past, including tectonic and volcanic processes.
There is no evidence of active volcanoes on Miranda, and the vents of rising gas mentioned in option B are not present on the moon. Option A describes some of the features of another moon of Uranus, Ariel.
Therefore, the correct answer is option C.
Learn more about Uranus:
https://brainly.com/question/14286855
#SPJ11
How do force affect the acceleration of a body?
Answers
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.
You're driving down the highway late one night at 21 m/s when a deer steps onto the road 38 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/ s 2. How much distance is between you and the deer when you come to a stop? What is the maximum speed you could have and still not hit the deer?
Answers
There is 16 m gap between the deer and the car.
What is the acceleration?We know that the acceleration is the rate of change of the velocity with time. Let us recall that the acceleration is a vector quantity and the direction is important here. Now, we have the following;
Initial velocity = 21 m/s
Final velocity = 0 m/s
Acceleration = 10 m/ s 2
Distance = 38 m
Given that we want to obtain the distance, we have to use;
V^2 = u^2 - 2as
Now v = 0 m/s because the object comes to a stop
v = final velocity
u = initial velocity
a = acceleration
s = distance covered
s = u^2 /2a = ( 21 m/s)^2/ 2 * 10 m/ s 2
= 22 m
The distance that is left between you and the deer = 38 m - 22 m = 16m
Learn more about kinematics:https://brainly.com/question/7590442
#SPJ1
580 nm light shines on a double slit
with d = 0.000125 m. What is the
angle of the second bright
interference maximum (m = 2)?
(Remember, nano means 10-9.)
(Unit = deg)
Answers
Answer:
0.532
Explanation:
Your equation to find the second bright interference maximum is gonna be this: d sin (Θ) = m λ
First, find your variables.
λ = 580 · 10^-9
d = 0.000125
m = 2
Next, fill in the equation.
d sin (θ) = m λ
(0.000125) sin (θ) = (2) (580·10^-9)
Then isolate your variable.
θ = arcsin ( (2)(580·10^-9) / (0.000125) )
Run your equation and you will end up with 0.53171246 , which rounds to 0.532.
The main thing you have to watch out for is make sure you are calculating for the bright interference and not the dark interference, as well as checking you're calculating for the maximum, not the minimum.
I hope this helps :D
what distance d does the object cover during one period of oscillation express your answer in meters
Answers
The object covers a distance of 2πd during one period of oscillation, where d is the amplitude of the oscillation.
In simple harmonic motion, the distance covered by an object during one complete period is equal to the circumference of a circle with radius equal to the amplitude of the oscillation. The formula for the circumference of a circle is given by C = 2πr, where r is the radius.
In this case, the amplitude of the oscillation is denoted by d. Therefore, the distance covered by the object during one period is 2πd, where 2π represents the complete revolution around the circle and d is the radius or amplitude.
It is important to note that this assumes the object undergoes ideal simple harmonic motion, where its motion is perfectly periodic and sinusoidal. In reality, factors such as damping and external forces may affect the motion and the distance covered.
learn more about simple harmonic motion here:
https://brainly.com/question/28208332
#SPJ11
Help needed
You are given two waves, a transverse wave that moves to the right f1(x) and a transverse wave that moves to the left f2(x), on a string. As the problem begins, the wave f1(x) is moving to the right at v1 = +1 m/s and the wave f2(x) is moving to the left at v2 = −1 m/s.
wave interferance
Answers
At every location along the string, the amplitudes of two waves that interfere with one another are added. The two separate waves combine to form the final wave.
Two transverse waves are present in this instance, one traveling to the right and the other to the left. The waves will interact destructively when they meet since their motions are in opposition.
Transverse wavesThe resultant wave f(x) at any point x on the string may be calculated by summing the two amplitudes if we let f1(x) represent the amplitude of the wave going to the right and f2(x) represent the amplitude of the wave moving to the left:
f(x) = f1(x) + f2(x)
The amplitudes of the two waves will be equal in size and facing in opposite directions when they collide. As a result, the amplitude that results will be zero, and the string will then be at rest.
The resulting wave will alternate between constructive and destructive interference as the waves continue to travel past one another.
As a result, the string will develop a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The combined frequency and wavelength of the various waves as well as the rate of wave propagation along the string will determine the final wave's frequency and wavelength.
learn more about transverse waves here
https://brainly.com/question/15531840
#SPJ1
how much work does juanita do if she uses a force of 40 newtons to pull 2 friends on a wagon for 32 meters?
Answers
Juanita does 1280 joules of work to pull her 2 friends on the wagon over a distance of 32 meters with a force of 40 newtons.
To calculate the amount of work Juanita does, we need to use the formula:
Work = Force x Distance x cos(theta)
where:
Force: the amount of force applied (in newtons)
Distance: the distance the object is moved (in meters)
theta: the angle between the direction of the force and the direction of motion (in degrees)
In this case, Juanita applies a force of 40 newtons to pull the wagon with her 2 friends, over a distance of 32 meters.
We don't have information about the angle between the force and the direction of motion, but we can assume that the force is applied in the direction of motion (i.e., theta = 0 degrees).
Using this information, we can calculate the work Juanita does as follows:
Work = Force x Distance x cos(theta)
Work = 40 N x 32 m x cos(0)
Work = 1280 joules
Therefore, Juanita does 1280 joules of work to pull her 2 friends on the wagon over a distance of 32 meters with a force of 40 newtons.
For similar questions on work, force and distance,
https://brainly.com/question/28773261
#SPJ4
ANSWER QUICK 30 POINTS
What force controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters? Thoroughly explain your answer, making sure to include an example and describe how this force keeps planets in orbit. Make sure to write at least 3-5 sentences and proper conventions (spelling, grammar, punctuation, etc.) to respond. Put all answers in your own words (pls dont just take my points :( )
Answers
Answer:
Gravity creates stars and planets by pulling together the material from which they are made.
Explanation: Thats the only thing i have im stuck on the tga quiz
Pls answer this question
Answers
Answer:
3
Explanation:im almost certain thats what it is
whats the scientific method in order
Answers
Answer:
See explanation
Explanation:
Observe, question, research, hypothesize, experiment, review hypothesis, report results.
What checks the power of a President?.
Answers
A statute may be subject to the President's veto in the executive branch, but with enough votes, the legislative branch can override the veto.
The legislative branch is in charge of approving presidential appointees, overseeing the budget, and having the power to impeach and remove the president. The supervision of the executive branch is the Congressional restraint on the President's power and a balance to his or her discretion in implementing laws and creating regulations. Proceedings are one of the main ways that Congress carries out oversight.There are several ways for the Congress to restrict the president's authority. The first method involves the Congress voting to remove the president from office through impeachment. The following method is "advice and permission." Judges and other officials can be chosen by the president, but the Congress must provide its consent.Thus this is how President's powers are checked.
Refer here to learn more about President: https://brainly.com/question/25822980
#SPJ4
Phil applies 100 n to a pulley system and raises a load one-tenth of his downward pull. ideally, the weight of the load is:__________
a. more than 10,000 n
b. 100 n.
c. 10,000 n.
d. 1000 n.
Answers
The weight of the load is 1000 N, which is the result of Phil's downward pull of 100 N being one-tenth of the load's weight.
The problem states that Phil applies a force of 100 N to a pulley system. According to the problem, the load being raised is one-tenth of Phil's downward pull.
Let's assume the weight of the load is \(\(W\)\) N. In an ideal pulley system, the tension in the rope is the same throughout. Therefore, the tension in the rope supporting the load is also 100 N.
Since the weight of the load is one-tenth of Phil's downward pull, we can set up the following equation:
\(\(\frac{W}{10} = 100\)\)
By multiplying both sides of the equation by 10, we get:
\(\(W = 1000\)\)
Therefore, the weight of the load is 1000 N.
Therefore, the weight of the load is 1000 N, which is the result of Phil's downward pull of 100 N being one-tenth of the load's weight.
Know more about downward pull:
https://brainly.com/question/1571611
#SPJ4
What is the acceleration of an object of mass 4.5 x 10^-5 kg with a charge 8.5 x 10^-9 C with a charge of under the influence of an electric field of magnitude 4900 V/m, assuming gravity is negligible?
Answers
The acceleration of the object is 0.926 m/s².
What is the electric force experienced by the object?The electric force experienced by the object is the product of charge and electric field of the object and it is given as;
F = Eq
where;
E is the electric field experienced by the objectq is the charge of the objectF = 4900 x 8.5 x 10⁻⁹
F = 4.165 x 10⁻⁵ N
The acceleration of the object is determined by applying Newton's second law of motion as follows;
a = F/m
a = (4.165 x 10⁻⁵ N) / (4.5 x 10⁻⁵ kg)
a = 0.926 m/s²
Learn more about acceleration here: https://brainly.com/question/14344386
#SPJ1
What is mast often givena value of zero to describe an object's position on a straight line? Odisplacement Oreference point O distance Oending location Mak Save and Exit
You'll get brainiest, answer quickly!!
Plz don't answer late..
Answers
Experiment 1: what volume would the gas sample occupy at 50. 0 °c?
Answers
Both the initial amount and the kind of gas play a role. However, the pressure and the quantity of gas present also have a role in this relationship.
Charles' Law states that a gas's volume is directly proportionate to its temperature. However, the pressure and the quantity of gas present also have a role in this relationship. Hence, we would need to know the starting volume, pressure, and number of moles of a gas sample in order to calculate its volume at 50.0 °C. The type of gas would also be a role in deciding its final volume at 50.0 °C because different gases behave differently at various temperatures. Ideal gas perfectly obeys the gas law. Thus, the correct answer to the question is Ideal gas.
learn more about gas here:
https://brainly.com/question/3637358
#SPJ4