A ceiling fan with 90.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 30.0 seconds after being turned off. Assuming the fan is slowing down at a constant rate, what is the angular acceleration (in rad/s/s) of the fan? What is the fan's angular velocity (in rad/s) 15 seconds after being turned off? What is the speed of the tip of the blade (in m/s) 15 seconds after being turned off? Through how many revolutions does the fan turn while stopping?
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 with 90.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 30.0 seconds after being turned off.
Assuming the fan is slowing down at a constant rate, what is the
What is the fan's
Through how many revolutions does the fan turn while stopping?
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