SOLUTION: Determine the centripetal force acting upon a 40-kg child who makes 10 revolutions around the cliffhanger in 29.3 seconds. The radius of the barrel is 2.90 meters. Show your soluti

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Question 1184370: Determine the centripetal force acting upon a 40-kg child who makes 10 revolutions around the cliffhanger in 29.3 seconds. The radius of the barrel is 2.90 meters. Show your solution.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.


            Make it step by step under my instructions. 


(1)  First calculate the linear speed by dividing the distance by time.


     The distance is one circumference 2%2Api%2Ar taken 10 times (10 revolutions) in 29.3 seconds,

     so the speed is  v = %282%2A3.14%2A2.9%2A10%29%2F29.3  meters per second.




(2)  Then apply the formula

         a = v%5E2%2Fr  

     to find the centripetal acceleration in m/s^2.



(3)  Finally, to find the force, multiply the centripetal acceleration by the mass.


    You will get the force in Newtons.


Happy calculations !


You can report me about your progress.