A coin rests 14.5 cm from the center of a turntable. The coefficient of static friction between the coin and turntable surface is 0.310. The turntable starts from rest at t = 0 and rotates with a constant angular acceleration of 0.640 rad/s2. (a) Once the turntable starts to rotate, what force causes the centripetal acceleration when the coin is stationary relative to the turntable? Under what condition does the coin begin to move relative to the turntable? (b) After what period of time will the coin start to slip on the turntable? s
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A coin rests 14.5 cm from the center of a turntable. The coefficient of static friction between the coin and turntable surface is 0.310. The turntable starts from rest at
and rotates with a constant
(b) After what period of time will the coin start to slip on the turntable?
s
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