Question

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 2.98 m/s, and an 89.3-kg person feels a 300-N force pressing against his back. What is the radius of a chamber?

Answer 1

   Given

   Mass of the person m = 89.5 kg

   speed v = 2.98 m/s

   Force F = 300N

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   We have the formula for the force is givenby

            F = ( mv²) /r

The radius of the chamber is given b y

           r = ( mv²) /F

             =  ( ( 89.5 kg)(2.98 m/)²) /(300N)

Simplifying we get the answer.