a fan rotates speed of 600rev per min the power is cut it stopped after 60 rev find time
average speed during stop = 300 rev/min
60 rev = 300 rev/min * t
t = 1/5 min = 12 seconds
Think !
To find the time it takes for the fan to stop after the power is cut, we can use the concept of angular velocity.
Angular velocity is defined as the rate at which an object rotates or revolves around a fixed axis. It is usually measured in radians per second (rad/s) or degrees per second (°/s).
In this case, we are given the angular velocity of the fan, which is 600 revolutions per minute (rev/min). To convert this to radians per second, we need to consider that there are 2π radians in one revolution and 60 seconds in one minute.
Convert rev/min to rad/s:
Angular velocity = (600 rev/min) * (2π rad/rev) * (1 min/60 s)
Angular velocity = 20π rad/s
Now, we need to find the time it takes for the fan to stop after 60 revolutions. We can use the formula:
Angular displacement = Angular velocity * Time
In this case, the initial angular velocity is 20π rad/s and the angular displacement is 60 revolutions, which is equivalent to 60 * 2π radians.
Angular displacement = (20π rad/s) * Time
60 * 2π radians = (20π rad/s) * Time
To find the time, we can rearrange the equation:
Time = (60 * 2π radians) / (20π rad/s)
Time = (60 * 2) / 20
Time = 6 seconds
Therefore, it takes 6 seconds for the fan to stop after the power is cut.