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Question 1 During steady state operation, a gear box receives 60kW through the input shaft and delivers power through the out

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Answer #1

Given data

Heat transfer coefficient h = 0.171 kW/m2-K

Area A = 1.0 m2

Outer surface temperature Tb = 300 K

Surrounding temperature Tf = 293 K

Heat transfer rate

Q = - hA(Tb - Tf)

= - (0.171 kW/m2-K) x (1.0 m2) x (300 - 293)K

= - 1.2 kW

Heat received by gear box W1 = - 60 kW

Energy balance equation

Heat transfer rate = Heat received by gearbox + power delivered by output shaft

Q = W1 + W2

-1.2 = - 60 + W2

W2 = 58.8 kW

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