A certain turntable of diameter 30 cm rotates horizontally about an axis through its center. At t = 0, a point on the edge of the turntable rotates from rest at a uniform tangential acceleration of 0.27 m/s2 , where t is in s, until the turntable reaches a final steady angular speed in 5 s. The turntable continues rotating at this final speed until it is switched off. (a) What is the angular displacement of the turntable, in revolutions, at t = 5 s, from rest? (b) What is the average angular velocity of the turntable at t = 9 s, from rest?
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 certain turntable of diameter 30 cm rotates horizontally about an axis through its center. At t = 0, a point on the edge of the turntable rotates from rest at a uniform tangential acceleration of 0.27 m/s2 , where t is in s, until the turntable reaches a final steady angular speed in 5 s. The turntable continues rotating at this final speed until it is switched off.
(a) What is the
(b) What is the average
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