a wheel is rotating with 500 revolutions per minute about an axis. Another similar wheel which is at rest is added to the axis of first wheel and if both wheels rotate with uniform velocity find their uniform velocity.
Since the wheels are same , moment of inertia will be same
By the conservation of angular momentum we have
I1w1 = I2w2
I*(2pi*500 / 60) = (I + I) *w2
w2 = 26.18 rad/s
so the new angular velocity is 26.18 rad/s
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