First slide

Law of conservation of angular momentum

Question

Two wheels of M.I. 3kg m² and 5kg m² are rotating at the rate of 600 rpm and 800 rpm respectively in the same direction. If the two are coupled so as to rotate with the same axis of rotation, the resultant speed of rotation will be (in rpm)

Easy

A

725
B

850
C

420
D

630

Solution

$\large w = \frac{{{I_1}{w_1} + {I_2}{w_2}}}{{{I_2} + {I_2}}}$
$\large = \frac{{\left( {3 \times 600} \right) + \left( {5 \times 800} \right)}}{{3 + 5}} = 725rpm$

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