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    Angular Speed

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    "A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"

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    https://brainmass.com/physics/rotation/angular-speed-11123

    Solution Preview

    at rest, F = mg = 243 N
    you know g, find m

    at angle 36.9 deg,

    243 Cos (theta) = m * a
    i.e it just starts to roll
    you can find a.

    Now find the velocity by the formula,
    V^2 - U^2 = 2 ...

    Solution Summary

    "A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"

    $2.19

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