Question

A Ferris wheel has diameter of 10 m and makes one revolution in 8.0 seconds. A person weighing 670 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?

Answer 1

Answer:

1082.8N

Explanation:

at the highest point,

Ft= Fc+Fw

Ft:total force or apparent weight

Fc: centripetal force

Fw: weight of person

Ft= mv²/r + Fw

v=ωr

v= 2πfr

v= 2π(1/8)10

v= 7.85m/s

Ft= mv²/r + Fw               m=Fw/g=670/10=67kg

Ft= (67)(7.85)²/10+670

Ft= 1082.8N