The angular speed of flywheel making 420 revolution per minute:
Correct answer: D. 44 rad/sec
- A. 42300 rad/sec
- B. 1200 rad/sec
- C. 10/4200 rad/sec
- D. 44 rad/sec
Explanation
The following is the solution:The formula for angular speed is given by:ω = 2πfwhere ω is the angular speed, and f is the frequency of rotation of the flywheel.We know that the flywheel is making 420 revolutions per minute. To convert this to frequency, we can use the formula:f = n / twhere n is the number of rotations and t is the time taken for those rotations.Converting 420 revolutions per minute to rotations per second, we get:n = 420 rev/min * (1 min / 60 s) = 7 rev/sThe time taken for one rotation ist = 1 / f = 1 / 7 s/rev = 0.143 s/revSubstituting the given values, we get:ω = 2πf = 2π(7 rev/s) = 44.0 rad/sTherefore, the angular speed of the flywheel is 44.0 rad/s.
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