1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastasy [175]
3 years ago
12

A child is pushing a playground merry-go-round. The angle through which the merry-go-round has turned varies with time according

to θ(t)=γt+βt3, where γ=0.400rad/s and β=0.0120rad/s3.
Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in radians per second in terms of γ, β, and t. ω(t) = rad/sec

Part Part B What is the initial value ω0 of the angular velocity? Express your answer in radians per second. ω0 = rad/s

Part C Calculate the instantaneous value of the angular velocity ω(t) at time t=5.00s. Express your answer in radians per second. ω(5.00) = rad/s

Part D Calculate the average angular velocity ωav for the time interval t=0 to t=5.00 seconds. Express your answer in radians per second. ωav = rad/s
Physics
1 answer:
ira [324]3 years ago
3 0

Answer:

A. \gamma + 3\beta t^2 rad/s

B. 0.4 rad/s

C. 1.3 rad/s

D. 0.7 rad/s

Explanation:

Part A. We can take the derivative of the motion function in order to get the angular velocity function with respect to time

\omega(t) = \theta^{'}(t) = (\gamma t + \beta t^3)^{'} = \gamma + 3\beta t^2 rad/s

Part B. The initial value of angular velocity is when t = 0

\omega_0 = \omega(0) = \gamma + 3\beta 0^2 = \gamma = 0.4 rad/s

Part C. The instantaneous value of the angular velocity at t = 5s

\omega(5) = \gamma + 3\beta 5^2 = \gamma + 75\beta = 0.4 + 75*0.012 = 1.3 rad/s

Part D. The angle distance it travels during the first t = 5 seconds is

\theta(5) = \gamma * 5 + \beta * 5^3 = 5\gamma + 125\beta = 5*0.4 + 125*0.012 = 3.5rad

So the average angular velocity during this 5 seconds would be the total angle traveled divided by the time

\omega_a = \theta(5) / t = 3.5 / 5 = 0.7 rad/s

You might be interested in
A brick is dropped from rest from a height of 4.9 m. How long does it take for the brick to
noname [10]

Answer:

t=1s

Explanation:

Using the formula

s=ut+1/2at^2

4.9 = (0)(t) + 1/2(9.8)(t^2)

4.9 = 4.9(t^2)

t^2 = 1

t = 1

8 0
3 years ago
The efficiency of the wedge is low because of _____.<br> width<br> friction<br> length<br> height
eduard

The efficiency of the wedge is low because of friction. The amount of work it supplies is small compared to the amount of work output. The internal resistance of the wedge is incredibly high due to its heavy weight at the other end of the blade.

5 0
4 years ago
Read 2 more answers
Magnitude WITH direction
zubka84 [21]

Answer: MAGNITUDE AND DIRECTION OF A VECTOR

Explanation: Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application.

4 0
3 years ago
How many electrons would have to be removed from a coin to leave it with a charge of +1.5 × 10^-5 C?
lesya [120]

Answer:

9.375\times 10^{13}electron leave out with a charge of 1.5\times 10^{-5}C

Explanation:

We have given total charge Q=1.5\times 10^{-5}C

We know that charge on one electron = 1.6\times 10^{-19}C

We have to find the total number of electron in total charge

So q=ne, here q is total charge, n is number of electron and e is charge on one electron

So 1.5\times 10^{-5}=n\times 1.6\times 10^{-19}

n=0.9375\times 10^{14}=9.375\times 10^{13}electron

So 9.375\times 10^{13}electron leave out with a charge of 1.5\times 10^{-5}C

8 0
4 years ago
A baseball bat is a lever. Which of the following explains how a baseball bat differs from a lever like a pry bar?
Gnesinka [82]

Complete question is;

A baseball bat is a lever. Which of the following explains how a baseball bat differs from a lever like a pry bar?

A) In a baseball bat, effort force is smaller and is applied over a large distance, while the resistance force is smaller and is applied over a long distance.

B) In a baseball bat, effort force is smaller and is applied over a large distance, while the resistance force is smaller and is applied over a short distance.

C) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a long distance.

D) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a short distance.

Answer:

C) In a baseball bat, effort force is larger and is applied over a short distance, while the resistance force is smaller and is applied over a long distance.

Explanation:

The correct answer is option C. This is because unlike in a pry bar, the effort force when swinging a baseball bat is larger and it is applied over a short distance; and in return the resisting force is smaller and it's applied over a long distance.

6 0
3 years ago
Other questions:
  • What causes light waves to refract?
    8·2 answers
  • A responder can protect himself/herself from radiation by using shielding as a response action. What materials are best for prot
    6·1 answer
  • A scientists is trying to decide whether an organism is unicellular or multicellular which information would help the scientist
    15·1 answer
  • A man walke towards the bus stop 100 meters away at a constant velocity. He reaches the bus stop in 200 seconds. Once at the bus
    13·1 answer
  • If a creature cats Ferrari, with an initial speed of 10 m/s, accelerate at a rate of 50 m/s/s for 3 seconds, what will it's fina
    7·2 answers
  • Represent 8953 ms with Sl units having an appropriate prefix Express your answer to four significant figures and include the app
    7·1 answer
  • What is the maximum velocity that a 0.3–kilogram mass attached to a 0.75–meter string can have if the mass is whirled around in
    13·1 answer
  • Which is more dangerous to living things, gamma rays or X-rays? Explain.
    13·1 answer
  • The frequency of a sound wave is 457 Hz. What is the period?
    13·1 answer
  • A light bulb is rated at 25 w when operated at 110 v. how much charge enters (and leaves) the light bulb in 1.0 hour?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!