You are in a carnival ride that consists of a circular room that spins around it

Question

You are in a carnival ride that consists of a circular room that spins around its center. You stand against the wall at the edge of the room. The room spins at a constant rate of 1 revolution per 5 seconds, and has a raius of 5m. Your mass is 70 kg. After the room reaches its final speed, the floor drops out from beneath you, yet you remain stuck to the wall.

a) Whatt is the magnitude of your acceleration, and in what direction are you accelerating?

b)What is the magnitude of the normal force exerted on you by the wall? At what rate(power) does the normal force perform work on you?

c)When the floor drops out from under you, you won't fall. What prevented you from falling? Draw a free body diagram, showing all relevant forces, to aid your explanation.

Explanation / Answer

a) the acceleration is centripital and is acting towards the center

a = w2R

w = 2 pi/5 rad/s = 1.26 rad/s

a = 1.262 x 5 = 7.94 m/s2

b) Normal force

N = mrw2 = ma = 70 x 7.94 =553N

c) here friction is acting upwards

weight mg acting downwards

centripital force acting away from the center

normal reaction acting towards the center

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