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Question

The radius of wheels of a car moving with a speed of 72 kmh1 is 0.25 m. If by applying brakes the wheels are stopped in 20 rotations, then the angular retardation produced by the brakes is

A
25.5 rads2
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B
20.5 rads2
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C
29.5 rads2
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D
33.0 rads2
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Solution

The correct option is A 25.5 rads2
By using the equation
ω2=ω20+2αθ
angular retardation,
α=ω2ω202θ....(i)
We know that, ω0=vr=72×5/180.25
=80 rads1....(ii)
When, ω=0,θ=2πn
i.e., θ=2π×20=40πrad....(iii)
Substituting, values of Eqs. (ii) and (iii) in Eq. (i), we get
α=02(80)22×40π=80×8080×3.14=25.5 rads2.

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