An airplane propeller is 2.18 m in length (from tip to tip) and has a mass of 102 kg. When the airplane's engine is first started, it applies a constant net torque of 1950 N⋅m to the propeller, which starts from rest. What is the angular acceleration of the propeller? Treat the propeller as a slender rod.

Question

Kelton Whitehead

Physics

12 March, 17:12

An airplane propeller is 2.18 m in length (from tip to tip) and has a mass of 102 kg. When the airplane's engine is first started, it applies a constant net torque of 1950 N⋅m to the propeller, which starts from rest. What is the angular acceleration of the propeller? Treat the propeller as a slender rod.

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Eliana Jarvis · Answer 1

Moment of inertia of propeller

= (1/12) m l²

= (1 / 12) x 102 x 2.18²

= 40.4 kgm²

torque = 1950 N-m

angular acceleration

= torque / moment of inertia

= 1950 / 40.4

= 48.26 rad / s²