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.
Answer: a) 417 N b) 328 N 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.
Answer: a) 417 N b) 328 N 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.
Answer: a) 417 N b) 328 N

Explanation / Answer

at the bottom of the wheel

Normal force N = mg + (m*v^2/R)

given that period is T = 2*pi*R/v = (2*3.142*17.2)/v = 24

v = 4.5 m/sec

then

Normal force is N = mg + (m*v^2/R)

N = (38*9.8)+(38*4.5^2/17.2)

N = 417 N

at the top of the wheel

N = (m*g)-(m*V^2/R)

N = (38*9.8)-(38*4.5^2/17.2)

N = 328 N

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