The angular acceleration (a) of a rotating blade follows the equation a = (20 - 30.0 t2) rad/s2 for 0 to 10 s. At t=0s, the blade is initially at rest. (a)What is the angular velocity of the blade at t=4 s? (b) After 4s, how much angle (from its initial position at t=0s) does a point in the blade have rotated? (c) What is the angular acceleration at this instant (t=4s)?
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.
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