Question

A potter is trying to determine the inertia of a pottery bowl. She notices that without...

A potter is trying to determine the inertia of a pottery bowl. She notices that without the bowl, friction causes the pottery wheel to slow from 60rpm to a stop in 10s. With the bowl on top, the wheel stops in 14s. The wheel has a radius of .25m and a mass of 4kg. Determine the inertia of the bowl. Assume friction is the same with and without the bowl.

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Answer #1

Given that,

Ww = 60 rpm = 6.283 rad/s

t = 10 s

From the equation of rotational motion,

wf = w - *t

0 = 6.283 - *10

= 0.628 rad/s^2

With the bowl on top,

Let, angular speed = w'

w2 = w' - *t

w' = 0.628*14

w' = 8.796

moment of inertia of wheel,

lw = mr^2 = 4*(0.25)^2

lw = 0.25 kg.^2

From conservation of angular mommentum,

l1*w1 = l2*w2

0.25*6.283 = l * 8.796

l = 0.175 kg.m^2

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