Question

A child is riding a merry-go-round that is turning at 7.18 rpm. If the child is standing 4.65 m from the center of the...

A child is riding a merry-go-round that is turning at 7.18 rpm. If the child is standing 4.65 m from the center of the merry-go-round, how fast is the child moving?

0 0
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1

Convert rpm to radians as its standard unit. 7.18 rpm 7.18 (27)radians per minute -14.36T rad/ minute 0.23933rad/:s The angular velocity is 0.23933T rad/s. Use the following formula to find the velocity of the child: Here, r is the radius and wis the angular velocity. v 4.65m (0.239337 rad/ s) -3.49 m/s

Add a comment
Know the answer?
Add Answer to:
A child is riding a merry-go-round that is turning at 7.18 rpm. If the child is standing 4.65 m from the center of the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • A 19.75 kg child is riding a playground merry-go-round that is rotating at 41.1 rev/min. What...

    A 19.75 kg child is riding a playground merry-go-round that is rotating at 41.1 rev/min. What net force is acting on her if she is standing on the merry-go-round 1.15 m from its center in newtons? The net force in this situation is sometimes called "centripetal force". What net force (in N) is acting on her if she is standing on an amusement park merry-go-round that rotates at 2.2 rpm and she is 9.3 m from its center? How many...

  • A child is standing on the edge of a merry-go-round, 1.5 m from the center. At...

    A child is standing on the edge of a merry-go-round, 1.5 m from the center. At t = 0 the child has a linear speed of 8.0 m/s. 12 seconds later the ride has slowed down and the child’s speed is now 3.0 m/s. What are the: a) Angular Acceleration b) Radial Acceleration at t = 12s c) Tangential Acceleration d) Magnitude of the Total Acceleration at t = 12s

  • A m-35.0 kg child is standing at the centre of a merry-go-round (a solid disk with...

    A m-35.0 kg child is standing at the centre of a merry-go-round (a solid disk with mass M-63.1 kg and radius of R-2.11 m). The merry-go-round is turning with a period of T-5.98 s. The child walks along a radial line to the edge of the merry-go-round. What is the period of the merry-go-round after the child walks to the edge? Express your answer in seconds. Assume the child can be represented as a point mass Question 3 Not complete...

  • 23. (a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0...

    23. (a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center? (b) What centripetal force does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center? (c) Compare each force with her weight. (d) 23d) Suppose the merry-go-round rotates at 60rpm and the child's friction...

  • 5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child...

    5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child of 30.0 kg runs tangent to the merry-go-round at 2.0 m/s, in the opposite direction that it is turning, and jumps onto the outer edge. Calculate the merry-go-round's angular velocity, immediately after the child jumps on.

  • 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, 27.5, 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 12 kg, has a...

    Three children are riding on the edge of a merry-go-round that is 12 kg, has a 1.60 m radius, and is spinning at 19.3 rpm. The children have masses of 19.9, 29.5, and 36.8 If the child who has a mass of 36.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rom? rpm

  • Three children are riding on the edge of a merry-go-round that is 182 kg, has a...

    Three children are riding on the edge of a merry-go-round that is 182 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 22.4, 29.0, and 36.8 kg. If the child who has a mass of 36.8 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 162 kg, has a...

    Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 22.4, 30.5, 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 has a mass of 105...

    Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.70 m. The merry-go-round is spinning at 18.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT