System of Particles and Rotational Motion - Result Question 45

48. A constant torque of 1000Nm turns a wheel of moment of inertia 200kgm2 about an axis through its centre. Its angular velocity after 3 seconds is

(a) 1rad/s

(b) 5rad/s

(c) 10rad/s

(d) 15rad/s

[2001]

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Answer:

Correct Answer: 48. (d)

Solution:

  1. (d) τ=1000Nm,I=200kgm2

τ=I.α and α=(ωfω0t)

α=1000200=5rad/sec2

ω1=ω0+αt=0+3×5=15rad/s



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