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The moment of inertia of an angular whee...

The moment of inertia of an angular wheel shown in figure is `3200 kgm^2`. If the inner radius is `5 cm`, and the outer radius is `20 cm`, and the wheel is acted upon by the forces shown, then the angular acceleration of the wheel is.
.

A

`10^-1 rad//s^2`

B

`10^-2 rad//s^2`

C

`10^-3 rad//s^2`

D

`10^-4 rad//s^2`

Text Solution

Verified by Experts

The correct Answer is:
C
( c) `tau = I prop rArr 10 xx (20)/(100) + (9 xx 20)/(100) - (12 xx 20)/(100) = 3200 prop`
`rArr prop = 10^-3 rad//s^2`.
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Knowledge Check

  • A torque of 100 Nm acting on a wheel at rest, rotates it through 200 radians in 10 s. The angular acceleration of the wheel, in rad//s^(2) is

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