A wheel with a rotational inertia of 5.0 kg m 2 isrotating in a horizontal plane

Question

A wheel with a rotational inertia of 5.0 kg m2 isrotating in a horizontal plane at 600 rev/min. A rim brake exerts atorque of 500 Nm on the inside rim of the wheel. Find the initialangular velocity in units of rad/s and the number of revolutionsthe wheel rotates through before it comes to rest.

Explanation / Answer

Given that        angular velocity = 600 rev /min = 600 * 2 rad / 60 s = 62.8 rad / s        We know that                  = I        ==>    = / I                      = 500 / 5 = 100 rad / s2 Mow using relation                = (2 -o2) / 2                     = (0 - 3943.8) / 2 * (-100)                     = 19.72 rad                     = 19.72 / 2                     = 3.14 rev

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