**A cooling fan is turned off when it is running at 850 rev/min. It turns 1250…**

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## Question “A cooling fan is turned off when it is running at 850 rev/min. It turns 1250…”

A cooling fan is turned off when it is running at 850 rev/min.

It turns 1250 revolutions before it comes to a stop. (a) What was

the fanâ€™s angular acceleration, assumed constant? (b) How long did

it take the fan to come to a complete stop?

## Answer

Initial rotational speed = N _{1} = 825 rev/min

1

_{1} = 89.01 rad/s

Final angular speed =

= 0.rad/s

The number of revolutions that the fan makes before it stops is = n = 1250

Angle through which fan turns before it stops =

Angular acceleration by the fan =

22 =

12 + 2

(7853.98)

= -0.5044 rad/s^{2}

It is both negative and deceleration.

T = Time it takes for the fan to stop completely

2 =

2 +

1 T

0 = 89.01 + (-0.5044)T

T = 176.5 seconds

**a) Angul acceleration of the fan = 0.5044 rad/s HTML2_**

**b) The time taken by the fan to stop completely = 176.5 seconds**

## Conclusion

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