A person walks into a room and switches on the ceiling fan. Thefan accelerates with constant angular acceleration for 15 s untilit reaches its operating angular speed of 1.9 rotations>s—afterthat its speed remains constant as long as the switch is “on.” Theperson stays in the room for a short time; then, 5.5 minutes afterturning the fan on, she switches it off again and leaves the room.The fan now decelerates with constant angular acceleration, taking 2.4 minutes to come to rest. What is the total number of revolutions made by the fan, from the time it was turned on until thetime it stopped?
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 person walks into a room and switches on the ceiling fan. The
fan accelerates with constant
it reaches its operating angular speed of 1.9 rotations>s—after
that its speed remains constant as long as the switch is “on.” The
person stays in the room for a short time; then, 5.5 minutes after
turning the fan on, she switches it off again and leaves the room.
The fan now decelerates with constant angular acceleration, taking 2.4 minutes to come to rest. What is the total number of revolutions made by the fan, from the time it was turned on until the
time it stopped?
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