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A four-wheel vehicle of mass 1000 kg moves uniformly in a straight line with the wheels revolving at 10 rad/s. The wheels are identical, each with a radius of 0.2 m. Then a constant braking torque is applied to all the wheels and the vehicle experience a uniform deceleration. For the vehicle to stop in 10s, the braking torque (in Nm) on each wheel is _______.
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- 19 N - m
- 15 N - m
- 10 N - m
- None of the above
Correct Option: C
m = 1000 kg, ω = 10 Rad/sec, R = 0.2 m, t = 10 sec
when ω = 0
∴ ωF = ωi – αt
∴ 0 = 10 – α .10
∴ α = 1 rad/ sec2
Now T = I.α
| ∴ (T)each wheel = |  |  | × 0.22 × 1 | |
| 4 |
∴ (T)each wheel = 10 N - m
