Question

Three children are riding on the edge of a merry-go-round that is a disk of mass...

Three children are riding on the edge of a merry-go-round that is a disk of mass 92 kg, radius 1.4 m, and is spinning at 23 rpm. The children have masses of 24 kg, 28.4 kg, and 34.2 kg.

Randomized VariablesM = 92 kg
m1 = 24 kg
m2 = 28.4 kg
m3 = 34.2 kg
r = 1.4 m
f = 23 rpm
   If the child who has a mass of 28.4 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

When the child most to the centre, his contribution to moment of inertia becomes zero. Find the initial and final moment of inertia and use conservation of angular momentum to find the required angular velocity as shown below

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
Three children are riding on the edge of a merry-go-round that is a solid disk with...
Three children are riding on the edge of a merry-go-round that is a solid disk with a mass of 95.8 kg and a radius of 1.72 m. The merry-go-round is initially spinning at 5.84 revolutions/minute. The children have masses of 29.0 kg, 28.2 kg and 33.6 kg. If the child who has a mass of 28.2 kg moves to the center of the merry-go-round, what is the new angular velocity in revolutions/minute?
Three children are riding on the edge of a merry-go-round that is 105 kg, has a...
Three children are riding on the edge of a merry-go-round that is 105 kg, has a 1.60-m radius, and is spinning at 22.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as points.
Three children are riding on the edge of a merry-go-round that is 105 kg, has a...
Three children are riding on the edge of a merry-go-round that is 105 kg, has a 1.70-m radius, and is spinning at 24.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as points.
Three children are riding on the edge of a merry-go-round that is 142 kg, has a...
Three children are riding on the edge of a merry-go-round that is 142 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 22.4, 29.0, and 38.8 kg. If the child who has a mass of 38.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
Three children are riding on the edge of a merry-go-round that is 142 kg, has a...
Three children are riding on the edge of a merry-go-round that is 142 kg, has a 1.60 m radius, and is spinning at 19.3 rpm. The children have masses of 22.4, 30.5, and 34.8 kg. If the child who has a mass of 34.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
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?
Two children, Angelica (mass 25 kg) and Boris (mass 50 kg), are playing on a merry-go-round...
Two children, Angelica (mass 25 kg) and Boris (mass 50 kg), are playing on a merry-go-round (which you can assume is a solid disk with mass 225 kg and radius 1.5m). Assume that any friction on the axle of the merry-go-round is negligible. Part A: Angelica starts spinning the merry-go-round, giving it an angular velocity of 8 rad/s, then she stops pushing it. Boris runs with a speed of 6 m/s directly toward the center of the merry-go-round. He jumps...
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 2.8-m -diameter merry-go-round with a mass of 230 kg is spinning at 20 rpm ....
A 2.8-m -diameter merry-go-round with a mass of 230 kg is spinning at 20 rpm . John runs around the merry-go-round at 5.0 m/s , in the same direction that it is turning, and jumps onto the outer edge. John’s mass is 35 kg . What is the merry-go-round's angular speed, in rpm, after John jumps on?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT