A woman rides on a Ferris wheel of radius 16 m that maintains the same speed thr

Question

A woman rides on a Ferris wheel of radius 16 m that maintains the same speed throughout its motion. To better understand physics, she takes along a digital bathroom scale (with memory) and sits on it. When she gets off the ride, she uploads the scale readings to a computer and creates a graph of scale reading versus time. (Figure 1) Note that the graph has a minimum value of 510 N and a maximum value of 666 N. The acceleration due to gravity, a 9.80 m/s? Figure 1 v of 1 700- 600 500 20 Time (seconds)

Explanation / Answer

Wmin = W - m×V^2/R
Wmax = W + m×V^2/R
Wmin + Wmax = 2W =2mg
m = (Wmin+Wmax)/2g

= (510+660)/2×9.8

= 60 kg

The woman mass is 60 kg.

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