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A turboprop produces \( 1200 \ \mathrm{kW} \) of shaft power and \( 1.5 \ \mathrm{kN} \) of residual jet thrust at \( 100 \ \mathrm{m/s} \). Taking propeller efficiency as 0.85, the equivalent shaft power is approximately

  • A.1327 kW
  • B.1500 kW
  • C.1376 kW
  • D.1350 kW

Answer: C

Correct answer: 1376 kW

Equivalent shaft power credits the residual jet thrust by converting it to the shaft power that would have been needed to produce the same thrust through the propeller:

\[ \mathrm{ESHP} = \mathrm{SHP} + \frac{F_j V}{\eta_p} = 1200 + \frac{1500 \times 100}{0.85 \times 1000} \]\[ = 1200 + \frac{150}{0.85} = 1200 + 176 = 1376 \text{ kW} \]

Adding the jet power of 150 kW without dividing by the propeller efficiency gives 1350 kW, which under-credits the jet: the propeller would have needed more than 150 kW of shaft power to deliver that thrust.

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