A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.20? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest. (a) What is the angular velocity of the fan after 3.0 s? (Enter the magnitude.) rad/s (b) What is the angular displacement of the fan after 3.0 s? (Enter the magnitude.) rad (c) How many revolutions has the fan gone through in 3.0 s? rev
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 ceiling fan is rotating counterclockwise with a constant
rad/s
(b) What is the
rad
(c) How many revolutions has the fan gone through in 3.0 s?
rev
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