A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be :

Question

TestHub · Accepted Answer

Here the angular acceleration is constant, so we have,

$θ = ω t + \frac{1}{2} α t^{2}$ .

When flywheel is rotated from rest in the first second, then $θ_{1} = \frac{1}{2} α {(1)}^{2} = 5 rad$

$\Rightarrow α = 10 rad s^{- 2}$

The angle turned by flywheel in the next second is $θ_{2} = \frac{1}{2} α {(2)}^{2} = \frac{1}{2} (10) (4) = 20 rad s^{- 2}$

Thus, the angle turned during next second is $θ = 20 - 5 = 15 rad$

Physics - Rotation Question with Solution | TestHub

Options:

Doubts & Discussion