A team of engineers has been assigned a work of measuring the properties of a ne

Question

A team of engineers has been assigned a work of measuring the properties of a new turbine of a jet engine . You have previously determined that the moment of inertia of the turbine is 2.6 kg m^2 . The next job is to measure the torque frictional support . His plan is to run the turbine rotation speed default , cut power and measure the time it takes the turbine to reduce its rotation speed by 50% . Your data are as follows :

Rotation(rpm) ; Time(s)

1500 ; 19

1800 ; 22

2100 ; 25

2400 ; 30

2700 ; 34

Explanation / Answer

For each observation, angular acceleration, = /t = -/2t

Mean angular acceleration, mean = i /5

=> mean = -[1500/19 + 1800/22 + 2100/25 + 2400/30 + 2700/34] / (2 * 5) = -112.42 rad/s2

Torque provided by friction, T = Imean = 2.6 * (-112.42) = -292.3 N-m

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