Question

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

A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt3θ, where γ= 0.350 rad/s and β= 1.25×10−2 rad/s3.

Calculate the angular velocity of the merry-go-round as a function of time.

Express your answer in terms of the variables β, γ, and t.

What is the initial value of the angular velocity?

Calculate the instantaneous value of the angular velocity ωz at t= 4.90 s

Calculate the average angular velocity ωav−z for the time interval t=0 to t= 4.90 s

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with...
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+β t 3 , where γ= 0.378 rad/s and β= 1.10×10−2 rad/ s 3 . Part A Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables β , γ , and t . Part B What is the initial value of the angular velocity? Part C Calculate the instantaneous value...
Consider a father pushing a child on a playground merry-go-round. The system has a moment of...
Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia of 84.4 kg · m2. The father exerts a force on the merry-go-round perpendicular to its 1.50 m radius to achieve a torque of 375 N · m. (a) Calculate the rotational kinetic energy (in J) in the merry-go-round plus child when they have an angular velocity of 23.2 rpm. (b) Using energy considerations, find the number of revolutions the father will have...
A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses...
A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 17.0 rpm in a time of 35.0 s. What is the average angular acceleration αavg of the merry‑go‑round in units of radians per second squared (rad/s2)? αavg: _______rad/s^2 What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes...
A child of mass m=15kg stands on a merry-go-round. The radius of the merry-go-round is R=2m...
A child of mass m=15kg stands on a merry-go-round. The radius of the merry-go-round is R=2m and the mass is M=75kg. The merry-go-round is considered to be a solid disk. The merry-go round initially at rest and the child stands near the edge. What will the angular velocity of the merry-go-round be if the child jumps off a.) In the radial direction with a velocity of +4m/s? b.) perpindicular to the radial direction with a velocity of +4m/s? c.) At...
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and...
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and a mass of 2000 kg, and it is spinning with an angular velocity of 2 rad/s. The kids are riding at the rim of the merry-go-round, and they each have a mass of 30 kg. All of the kids jump radially off the merry-go-round, all at the same time. What would the angular velocity of the merry-go-round be after the kids jump off? Group...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is a large disk of mass 150 kg and radius 1.5 m. The merry-go-round spins with an angular velocity of 12 rpm. What is the merry-go-round’s angular velocity in radians per second (rad/s)? What is the total rotational inertia (moment of inertia) of the child and merry-go-round together? What is the rotational kinetic energy (in joules) of the merry-go-round and child together? What magnitude of...
A 36.5 kg child stands at the center of a 125 kg playground merry-go-round which rotates...
A 36.5 kg child stands at the center of a 125 kg playground merry-go-round which rotates at 3.10 rad/s. If the child moves to the edge of the merry-go-round, what is the new angular velocity of the system? Model the merry-go-round as a solid disk.
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and...
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and a mass of 2000 kg, and it is spinning with an angular velocity of 2 rad/s. The kids are riding at the rim of the merry-go-round, and they each have a mass of 30 kg. All of the kids jump radially off the merry-go-round, all at the same time. What would the angular velocity of the merry-go-round be after the kids jump off?
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and...
10 kids are riding on a merry-go-round. The merry-go-round has a radius of 3 m and a mass of 2000 kg, and it is spinning with an angular velocity of 2 rad/s. The kids are riding at the rim of the merry-go-round, and they each have a mass of 30 kg. All of the kids jump radially off the merry-go-round, all at the same time. What would the angular velocity of the merry-go-round be after the kids jump off?
a 50.0 kg child is on a 200. kg merry-go-round with a radius of 1.50 m....
a 50.0 kg child is on a 200. kg merry-go-round with a radius of 1.50 m. the child starts at 0.5 m from the center and moves to the edge. the child's parent accelerates the merry-go-round from rest at 0.75 rad/s^2 to a speed of 1.5 rad/s. How long did the parent push the merry-go-round? how much force is required to hold the child when at 0.5 m from the center? determine the kinetic energy of the system when moving...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT