A wheel starting from rest, rotates with a uniform angular acceleration of $2 {rad/s}^{2}$ . The number of rotation it performs in the tenth second is

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Solution

The correct option is A 3
$\begin{matrix} S_{n} & = u + \frac{1}{2} a (2 n - 1) [G i v e n n = 10] θ_{n} & = ω_{i} + \frac{1}{2} α (2 n - 1) θ_{n} & = 0 + \frac{1}{2} \times 2 (2 \times 10 - 1) = 19 θ_{n} & = 19 rad \end{matrix}$

Rotations = $\frac{19}{2 π}$ = $\frac{19}{2 (3.14)}$ = 3 (apprx.)

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