Question

In: Physics

a ferris wheel 42.5m in diameter rotates once every 18.2s. What is the ratio of a...

a ferris wheel 42.5m in diameter rotates once every 18.2s. What is the ratio of a person's apparent weight to her real weight at (a) the top and (b) the bottom?

please please PLEASE show all steps and write out all the work I have been stuck on this problem and I can't figure out where I'm going wrong.

Solutions

Expert Solution

The Ferris wheel rotates once every 18.2 s

Hence, angular velocity is

At each point in the wheel, the person experiences a centripetal force Fa directed towards the center of the wheel.

When the wheel is at the top:

By Newton’s 2nd law

N1 is the force exerted on the person

Applying Newton’s 2nd law

This is the apparent weight at the top of the wheel

Ratio of apparent and real weight is hence

When the person is at the bottom:

N2 is the force exerted on the person

Applying Newton’s 2nd law

This is the apparent weight at the bottom of the wheel

Ratio of apparent and real weight is hence


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