The GATE Grind

GATE 2024 AG – Question 40

Farm Power · Farm Power · 2 marks · Multiple choice

A three-cylinder, four-stroke diesel engine has bore73 mm, stroke78 mm, speed 2200 rpm, brake torque55 N·m and indicated mean effective pressure1050 kPa. Find mechanical efficiency in percent.

  1. 57.21
  2. 61.45
  3. 67.21
  4. 71.25

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Correct answer: (C) 67.21

Explanation

Brake power is $P_b=2\pi NT/60=2\pi(2200)(55)/60=12671.09$ W. Total displacement is $V_d=3\pi(.073)^2(.078)/4$. For a four-stroke engine,$P_i=p_mV_dN/120\approx18853.1$ W. Therefore $\eta_m=P_b/P_i=.6720968$,or **67.21%,C**.

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