Your child wants to ride a dangerous looking ride at a local fair. The ride in q

Question

Your child wants to ride a dangerous looking ride at a local fair. The ride in question has a 5.0 kg chair which hangs freely from a 10 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 seconds. When you ask the operator, he says that the ride is perfectly safe. He demonstrates this by sitting in the stationary chair. The chain creaks but holds (you estimate his mass to be 100 kg). Has the operator shown that this ride is safe for a 25 kg child?

Explanation / Answer

T = 2 x pi x r / v

3 = 2 x pi x 10 / v

v = 20.94 m/s

F = mv^2/r = 1096.62 N force due to riding child

F = mg = 100 x 9.8 = 980 N   force estimated

so its not safe .

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