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a ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. it is then turned off and coasts to a stop in an additional 40 s. what is the ratio of the average angular acceleration for the first 20 s to that for the last 40s? a ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. it is then turned off and coasts to a stop in an additional 40 s. what is the ratio of the average angular acceleration for the first 20 s to that for the last 40s?



Answer :

The ratio of the average angular acceleration for the first 20s to that for the last 40s is -2.

Here it is given that the angular speed of a ceiling fan is 120 rev/ min

Time = 20s

As the fan comes to rest after the 40s.

Angular acceleration of the first 20s to the last 40s

Angular acceleration for the first 20s

α1 = Δω/ t

α1 = 120 / 20

    = 60 rev / s²

Angular acceleration for the last 40s

α2 = Δω/t

     = 0-120/ 40

     = -3 rev/ s²

The ratio of average angular acceleration is:

α1/ α2 = 6/-3

           = -2

Therefore the ratio is -2.

To know more about angular acceleration refer to the link given below:

https://brainly.com/question/21278452

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