The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in is [2022]

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Solution

Q.
The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in ${rad/s}^{2}$ is [2022]

1 $2 π$

2 $4 π$

3 $12 π$

4 $104 π$

Ans.
(2)

Initial angular speed,

$ω_{0} = \frac{2 π \times 1200}{60} rad$ $s^{- 1} = 40 π rad$ $s^{- 1}$

Final angular speed,

$ω = \frac{2 π \times 3120}{60} rad$ $s^{- 1} = 104 π rad$ $s^{- 1}$

$∴$ $Angular acceleration, α = \frac{ω - ω_{0}}{t} = \frac{104 π - 40 π}{16} = 4 π rad$ $s^{- 2}$

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