A neighbor is worried about the safety of a ride. The ride had a chair weighing

Question

A neighbor is worried about the safety of a ride. The ride had a chair weighing 50 N, which hangs freely from a 10.0 m long chain attached to a pivot on the top of a tall tower. When a child enters the ride, the chain is hanging straight down. The child is then attached to the chair with a seat belt and shoulder harness. When the ride starts up the chain rotates about the tower. Soon the chain reaches its maximum speed and remains rotating at that speed. It rotates about the tower once every 3.0 sec. When you ask the operator, he says that the ride is perfectly safe. He demonstrates by sitting in the stationary chair. The chain creaks but holds and he weighs 1000N. Has the operator shown that this ride is safe for a child that weighs 250N

Explanation / Answer

we have ,

Radius of tower = 10 m

weight of chair w = 50 N

angular velocity of tower = (2)/3 = 2.0944 rad/s

For , operator of W =1000 N , we have,

N = m2R-mg

given that the chair just holds, N >= 0 ( Normal force)

m2R-mg >= 0

2R - g >= 0

2 > g/R

> 0.9899

which is true .

Hence the relation does not depend on mass at all. and the ride is perfectly safe for child

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