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Circular Motion: Centripetal Acceleration and Minimum Force

Please identify all variables used.

1) An engine flywheel initially spinning 2000 rpm has an angular acceleration of -10 rad/s2 as it slows down. How long does it take for the flywheel to turn through 100 revolutions? How long does it take to stop?

2) A 50 kg child stand at the rim of a merry go round with a radius of 2.00 m, rotating with an angular speed of 3.00 rad/s

a) What is the child's centripetal acceleration?
b) What is the minimum force between her feet and the floor of the carousel that is required to keep her feet in the circular path?
c) what minimum coefficeint of static friction is required? Is the answer reasonable? In other words, is she likely to stay on the merry go round?

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The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

Check out:
http://hyperphysics.phy-astr.gsu.edu/hbase/circ.html#circ
http://hyperphysics.phy-astr.gsu.edu/hbase/corf.html#cent

The equations of motion of angular motion are analogous to these apply to linear motion, only instead of distance we measure radians. Instead of linear velocity ...

Solution Summary

This solution provides calculations involving circular motion. The centripetal acceleration and minimum force is determined.

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