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 3.2 m/s, and an 83 kg person feels a 560N force pressing against his back. What is the radius of a chamber? a)1.2 m b) 1.44 m c) 1.5 m d) 1.65

Answer 1

Radius, r = 1.5 meters

Step-by-step explanation:

It is given that,

When an object is moving in an amusement park it will exert centripetal force. The centripetal force acting on the person, F = 560 N

Mass of the person, m = 83 kg

Speed of the wall, v = 3.2 m/s

The centripetal force acting on the person is given by :

`F=(mv^2)/(r)`

`r=(mv^2)/(F)`

`r=(83* (3.2)^2)/(560)`

r = 1.51 meters

or

r = 1.5 meters

So, the radius of the chamber is 1.5 meters.