A wheel released from rest is rotating with constant angular acceleration of 2.9 rad/s2. (a) After 5.0 s, what is its angular velocity? (solved) 14.5 rad/s(b) Through what angle has the wheel turned? (solved)36.25 rad(c) How many revolutions has it made? (unsolved)(d) What is the speed of a point 1.0 m from the axis of rotation? (solved)14.5 m/s(e) What is the magnitude of the total acceleration of the same point? (unsolved)
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 wheel released from rest is rotating with constant
(b) Through what angle has the wheel turned? (solved)
36.25 rad
(c) How many revolutions has it made? (unsolved)
(d) What is the speed of a point 1.0 m from the axis of rotation? (solved)
14.5 m/s
(e) What is the magnitude of the total acceleration of the same point? (unsolved)
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