A passenger on the ferris wheel normally weighs 323 N.The ferris wheel has a 18

Question

A passenger on the ferris wheel normally
weighs 323 N.The ferris wheel has a 18 m radius and is
equipped with a powerful motor. The opera-tor revs it up so that the customers at the top of the wheel feel zero g’s (they momentarily
lift slightly off their seats).
The acceleration of gravity is 9.8 m/s2 .
a) At what angular velocity will this occur?
Answer in units of 1/s

b) Assume: The rotating angular velocity is
same as in Part 1.
What weight does the customer feel at the
bottom of the wheel?
Answer in units of N

Explanation / Answer

Weight = W = 323 Newton

mass = W/g = 32.96 kg

radius r = 18 meter,

let angular speed be

a.

to feel zero g, the normal force at top is zero ,we have,

mg = m2R

9.8 = 2 x 18

angular speed = = 0.738 rad/s

b.

Apparent weight = W + m2R

= 323 + 323

= 646 Newtons

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