Question

A wheel at rest has M.I. $\frac{2}{π^{2}} {kgm}^{2}$ It is rotated by a 60W motor for one minute. The number of rotations made by the wheel in one minute is

Easy

Solution

$p = \frac{τθ}{t}; θ = 2 πN$
$p \times t = \frac{1}{2} I ω^{2}$
$ω = \sqrt{\frac{2 p t}{I}} θ = 2 π N = \frac{ω}{} t$

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