An airplane propeller is rotating at 2000 rev/min. A. Compute the propeller’s angular velocity in rad/s . B. How l

Question

An airplane propeller is rotating at 2000 rev/min.

A. Compute the propeller’s angular velocity in rad/s .

B. How long in seconds does it take for the propeller to turn through 36∘?

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Thanh Hà 3 years 2021-08-18T00:40:19+00:00 1 Answers 173 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-18T00:41:48+00:00
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    A 1 complete revolution corresponds to an angular displacement of 2π rad, or 360º. (So there are 180º for every π rad.) Also, there are 60 seconds to 1 minute. So, the angular velocity in rad/s is

    (2000 rev/min) * (2π rad/rev) * (1/60 min/s) = 200π/3 rad/s

    or approximately 209.44 rad/s.

    B First convert the angular velocity to degrees per second (º/s):

    (200π/3 rad/s) * (180/π º/rad) = 12,000 º/s

    We want to find the time t it would take for the propeller to turn 36º:

    36º = (12,000 º/s) t

    ==>  t = 36º / (12,000 º/s) = 3/1000 s

    or approximately 0.003 s.

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