A propeller is accelerated from rest to an angular velocity of 1,075 rev/min over a period of 8.2 seconds by a constant torque of 4.0 ✕ 103 N · m. (a) What is the moment of inertia of the propeller (in kg · m2)? (b) What power (in W) is being provided to the propeller 4.0 s after it starts rotating?

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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.