As you switch a fan setting from its slowest speed to its highest,its angular speed v triples. (a) Does the period of rotation T of thefan blade increase, decrease, or stay the same? Explain. (b) Whatis the ratio of the new rotation period to the old value, Tnew>Told?
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.
As you switch a fan setting from its slowest speed to its highest,
its angular speed v triples. (a) Does the period of rotation T of the
fan blade increase, decrease, or stay the same? Explain. (b) What
is the ratio of the new rotation period to the old value, Tnew>Told?

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