Angular velocity, coin on spinning wheel

AI Thread Summary
To determine the maximum angular velocity of a turntable without a coin sliding off, the static friction coefficient of 0.810 is crucial. The centripetal force required to keep the coin in place is provided by the frictional force, which can be calculated using the formula involving mass, radius, and angular velocity. By setting the frictional force equal to the centripetal force, the maximum angular velocity can be derived. The solution involves substituting the known values of mass, radius (16.0 cm), and static friction coefficient into the equations. This approach ensures that the coin remains stationary relative to the turntable during its rotation.
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Homework Statement



A 5.10 coin is placed 16.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.810 and = 0.510.


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

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