An airplane propeller is $2\mathrm{.}58m$ in length $($from tip to tip$)$ and has a mass of $117kg.$ When the airplane's engine is first started, it applies a constant net torque of $1950N*m$ to the propeller, which starts from rest.

Constants

What is the angular acceleration of the propeller? Model the propeller as a slender rod.

Express your answer in radians per second squared.

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Hint $1.$ Hint

The moment of inertia of a slender rod pivoted about an axis through its center is $\frac{1}{12}M{L}^2.$

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$ra\frac{d}{s^2}$

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Part B

What is the propeller's angular speed after making $5\mathrm{.}00$ revolutions?

Express your answer in radians per second.

Part C

How much work is done by the engine during the first $5\mathrm{.}00$ revolutions?

Express your answer with the appropriate units.

$W=$

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Part D

What is the average power output of the engine during the first $5\mathrm{.}00$ revolutions?

Express your answer with the appropriate units.

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Part E

What is the instantaneous power output of the motor at the instant that the propeller has turned through $5\mathrm{.}00$ revolutions?

Express your answer with the appropriate units.

Units

$P=$

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