Units and Measurement

Question

A flywheel of moment of inertia 0.04kgm² and radius 20cm is mounted to rotate about a horizontal axis through its centre. A string of negligible mass is wrapped around the flywheel and mass of 0.2 kg is attached to the free end. Find how much the mass would fall in 3seconds?

Solution

Given,
Moment of Inertia, I = 0.04 kgm²
Radius, r=20cm=0.2m,
Mass, m=0.2kg
The acceleration of mass is,
$straight alpha equals fraction numerator straight g over denominator 1 plus begin display style straight I over mr squared end style end fraction equals fraction numerator 10 over denominator 1 plus begin display style fraction numerator 0.04 over denominator 0.2 cross times left parenthesis 0.2 right parenthesis squared end fraction end style end fraction equals 5 over 3 straight m divided by straight s squared$
Distance covered by the mass in 3s while falling is,
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