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 fan’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 =
= 2
n
= 2(1250)
= 7833.22 rad
Angular acceleration by the fan =
22 =
12 + 2
(7853.98)
= -0.5044 rad/s2
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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