Q.

A wheel of radius 10 cm can rotate freely about its centre as shown in figure. A string wrapped over its rim is pulled by a force of 5N. It i" observed that the torque produces angular acceleration of 2 rad s-2 in the wheel. What is the moment of inertia of the wheel? [NEET 2016]

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a

0.25kg−m2

b

0.45 kg−m2

c

0.15 kg−m2

d

0.16 kg−m2

answer is A.

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Detailed Solution

Torque, τ=Iα or moment of inertia of wheel  I=ταMoment of inertia of wheel,  I=5×10×10−22kg−m2=0.25kg−m2
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