What is the Average Angular Acceleration of a Fan?

  • Thread starter Ion1776
  • Start date
In summary, the average angular acceleration of the fan blades from medium to high speed is 42.6 rad/s^2, calculated using the formula -(355-225)/3.05. The usual constant acceleration equations apply to angular distance, speed, and acceleration, just as they do to linear distance, speed, and acceleration.
  • #1
Ion1776
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The blades of a fan rotate clockwise at −225 rad/s at medium speed, and −355 rad/s at high speed. If it takes 3.05 seconds to get from medium to high speed, what is the average angular acceleration of the fan blades during this time?

Is the answer

-(355-225)/3.05

= 42.6 rad/s^2

Please work it out and tell me if I did this correctly
 
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  • #2
Hi Ion1776! :smile:

(try using the X2 tag just above the Reply box :wink:)
Ion1776 said:
The blades of a fan rotate clockwise at −225 rad/s at medium speed, and −355 rad/s at high speed. If it takes 3.05 seconds to get from medium to high speed, what is the average angular acceleration of the fan blades during this time?

Is the answer

-(355-225)/3.05

= 42.6 rad/s^2

Please work it out and tell me if I did this correctly

Yup, that's fine! :biggrin:

(apart from the sign)

the usual constant acceleration equations apply to angular distance speed and acceleration just as they do to linear distance speed and acceleration …

in this case, you can (and did) use v - u = at. :smile:
 
  • #3
.

Yes, your calculation is correct. The average angular acceleration of the fan blades during the 3.05-second time period is 42.6 rad/s^2. This means that the fan blades are accelerating at a rate of 42.6 radians per second squared during this time, which is a measure of how quickly the angular velocity is changing. This calculation is important in understanding the performance and efficiency of the fan.
 

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