An Angular Velocity Question

AI Thread Summary
To determine the maximum angular velocity of a coin on a turntable without sliding, the static frictional force must be calculated, which depends on the coin's weight and the coefficient of static friction. The outward force acting on the coin due to rotation can be expressed using centripetal acceleration. The point at which the static frictional force is overcome by this outward force indicates the maximum angular velocity. The coefficients of friction provided are essential for these calculations. Understanding these dynamics is crucial for solving the problem effectively.
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Homework Statement



A 6.90 coin is placed 13.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.740 and = 0.450.

What is the maximum angular velocity with which the turntable can spin without the coin sliding?

Homework Equations


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The Attempt at a Solution


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\sum\vec{F}=m\vec{a}

and

\vec{a}=\vec{v}^2/r.
 
Welcome to PF.

Without knowing what your units are generally you need to figure what point at which the static frictional force will be overcome by the outward force on the coin from rotation. The frictional force depends on the coefficient of friction and its weight which is mass times gravity.
 
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