A child sitting 2.8 m from the center of a spinning carousel experiences a centripetal force of magnitude 18.5 N. The carousel completes 5 revolutions every minute at a constant speed. - a.) Calculate the speed of the child - b.) Calculate the mass of the child

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A child sitting 2.8 m from the center of a spinning carousel experiences a centripetal force of magnitude 18.5 N. The carousel completes 5 revolutions every minute at a constant speed.

- a.) Calculate the speed of the child

- b.) Calculate the mass of the child

Expert Solution
Step 1

Given Data position of child sitting from the center r = 2.8 mMagnitude of centripetal force F = 18.5 Nangular velocity ω =5×2π60 rad/s =π6 rad/slet m denotes the mass of the childand v denotes the speed of the childa)relation between linear speed and angular speed is v=ω×rv = π6×2.8v = 1.46 m/s

 

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