You\'re riding a Ferris wheel while sitting on a scale. A Ferris wheel with radi

Question

You're riding a Ferris wheel while sitting on a scale. A Ferris wheel with radius 8.9 m has period 38 s .

Part A.Find the scale reading for a 75 kg person at the bottom of the Ferris wheel, assuming a constant rotation rate. Express your answer to two significant figures and include the appropriate units.

Part B.Find the scale reading for a 75 kg person at the top of the Ferris wheel, assuming a constant rotation rate. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

R = 8.9 m ; T = 38 s

A)m = 75 kg

we know that, w = 2 pi/T

w = 2 x 3.14 /38 = 0.17 rad/s

v = r w = 8.9 x 0.17 = 1.51 m/s

Fc = mv^2/R

Fc = 75 x 1.51^2/8.9 = 19.21 N

weight = mg = 75 x 9.8 = 735 N

At bottom,

W' = W + Fc

W' = 735 + 19.21 = 754.21

Hence, at bottom, W' = 754.21 N

At top,

W' = W - Fc = 735 - 19.21 = 715.8 N

HEnce at top, W' = 715.8 N

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