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Answered 2015-04-20 17:35:06

Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae):

Radius of rotation is unrelated to angular velocity.

Linear velocity = angular velocity x radius

Centripetal acceleration = velocity squared / radius

Centripetal acceleration = (angular velocity) squared x radius

Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius

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Centripetal force is related to angular velocity in the following manner.F = m.w2rwhereF = Centripetal force [=] Nw = angular velocity [=] rad/sr = radius of rotation [=] mRPM is denoted for Round Per Minute and is the rate of revolution.RPM x 60 sec/min x 2pi rad/sec = wCentripetal force is then proportion to RPM2


Tangential velocity = (angular velocity) x (radius). With the angular velocity measured in radians per unit time.


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Both are velocity functions. Instantaneous velocity is the derivative of the average velocity * * * * * They are both speed functions. Velocity is a vector related to speed but quite irrelevant in this context. An object rotating at a constant [angular] speed has a velocity that is continuously changing but that has no relevance.


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The answer is related to the conservation of angular momentum. A figure skater will maintain approximately the same angular momentum during their spin (minus a negligible amount due to the friction of their skates and wind resistance). When they move their arms in, they will reduce their rotational inertia by reducing the distance of the mass of her arms and hands from the axis of rotation. In order to maintain the same angular momentum, angular rotation is increased. See the link. Its called the angular conservation of energy. No matter what the skater's position the skater produces a certain amount of energy per second. When his / her hands are extended the distance of the rotation is larger. When he pulls his hands in the weight is unchanged. TO keep the energy at the same amount the difference has to be made up by increasing the number of spins per time unit.


Velocity is related to health in the sense that high velocity collisions are more damaging than low velocity collisions. Velocity is related to science in the sense that Newtonian mechanics deals with velocity.


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