A wheel starting with angular velocity of 10rad/sec acquires angular velocity of 100rad/sec in 15 seconds. If angular acceleration of wheel is constant, what will be the angular displacement of the wheel in 15 seconds?
A
820rad
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B
825rad
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C
675rad
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D
150rad
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Solution
The correct option is B825rad Given that, ωo=10rad/sec, ω1=100rad/sec, t=15sec
From equation of motion, we know that ω1=ωo+αt So, 100=10+α×15 ⇒α=6rad/sec2
Again, we know that, θ=ωot+12αt2 ∴θ=10×15+12×6×152 ⇒θ=825rad