Question

3. 3 points My Notes Ask Your Teacher Fairgoers ride a Ferris wheel with a radius of 4.50 m (Figure 4-18), the bottom of which is 1.75 m above the ground. The wheel completes one revolution every 36.0s Figure 4-18 (a) What is the average speed of a rider on this Ferris wheel? Irifs (b) If a rider accidentally drops a stuffed animal at the top of the wheel, where does it land relative to the base of the ride? (Neglect air resistance.)

Answer 1

Here ,

radius , r = 4.5 m

Time period , T = 36 s

a) angular speed , w = 2pi/T = 2pi/36

w = 0.174 rad/s

average speed = R * w

average speed = 4.5 * 0.174

average speed = 0.783 m/s

b) for the time taken to fall

t = sqrt(2 * (2R + h)/g)

t = sqrt(2 * (2 * 4.5 + 1.75)/9.8)

t = 1.481 s

NOw, for the distance from the base

distance from the base = 1.481 * 0.783

distance from the base = 1.16 m