4. A child with mass 38.0 kg rides a Ferris Wheel that has a radius of 17.2 mete

Question

4. A child with mass 38.0 kg rides a Ferris Wheel that has a radius of 17.2 meters. The wheel rotates at constant speed and completes one revolution in 24.0 seconds. Find the normal force the seat exerts on the child when he is: (a) at the bottom of the wheel and (b) at the top of the wheel. 4. A child with mass 38.0 kg rides a Ferris Wheel that has a radius of 17.2 meters. The wheel rotates at constant speed and completes one revolution in 24.0 seconds. Find the normal force the seat exerts on the child when he is: (a) at the bottom of the wheel and (b) at the top of the wheel.

Explanation / Answer

frequency

f = 1 / 24s

w = 2pi*f = 2pi/24s

acceleration a = w^2r = (2pi*/24)^2*(17.2) =1.77 m/s^2

a) F = ma = 38kg*(g + a) = 38*(9.8 + 1.177) = 417.15N

b) F = 38kg*(g - a) = 327.64 N

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