Questions

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]

60 mins Expert Faculty Ask Questions

a

0.25kg−m2

b

0.45 kg−m2

c

0.15 kg−m2

d

0.16 kg−m2

detailed solution

Correct option is A

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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The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta $(t) = 2*t*^{3} $-$6*t*^{2}. The torque on the wheel becomes zero at [CBSE AIPMT 2011]

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