two wheels of moment of inertia 4 kgm^2 rotates sid by side at the rate of 120 rpm and 240 rpm respct. if now both the wheels are coupled by means of weightless shaft so that the wheels now rotates with a constant angular speed. find the new speed.
1
Expert's answer
2011-12-15T07:07:08-0500
According to the law of conservation of angular momentum <img style="width: 503px; height: 64px;" src="data:image/png;base64,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" alt="">
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