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Question: A turbine fan in a jet engine has MOI 2.5 kg m<sup>2</sup> about its axis of rotation. Its angular v...

A turbine fan in a jet engine has MOI 2.5 kg m2 about its axis of rotation. Its angular velocity is 40t2. Find the net torque at any instant.

A

100 t

B

100 t2

C

200 t

D

200 t2

Answer

200 t

Explanation

Solution

τ = dLdt=ddt(Iω)=ddt(2.5×40t2)=200t\frac{dL}{dt} = \frac{d}{dt}(I\omega) = \frac{d}{dt}\left( 2.5 \times 40t^{2} \right) = 200t