Answer to Question #313017 in Physics for Cap

Question #313017

An airplane propeller is rotating at 1900 rev/min.




(a) Compute the angular velocity in rad/s.




(b) How long in seconds does it take for the propeller to turn through 350 degrees?

1
Expert's answer
2022-03-17T09:35:58-0400

(a) Compute the angular velocity in rad/s.

ω=2πn=6.28rad1900160s=199rad/s\omega=2\pi n\\ =\rm 6.28\: rad*1900*\frac{1}{60\:\rm s}=199\: rad/s

(b) How long in seconds does it take for the propeller to turn through 350 degrees?

Δt=Δθω\Delta t=\frac{\Delta \theta}{\omega}

Δt=350πrad180199rad/s=0.031s\Delta t=\frac{350^\circ*\frac{\pi\:\rm rad}{180^\circ}}{199\: \rm rad/s}=0.031\:\rm s


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