Subtopic: Steering and hydraulic control systems used in tractors
Question Statement:
A gear pump has a displacement of 120 cm³·rev⁻¹ and it runs at 1500 rpm against a system pressure of 18 MPa. If the torque efficiency of the pump is 90%, actual torque required to run the pump in N·m is ______. [round off to 2 decimal places] (Take π = 3.14)
Official Answer Key:
380.00 to 383.00
Step-by-Step Solution & Explanation
Theoretical torque = (Displacement × Pressure)/(2π) = (120×10⁻⁶ m³ × 18×10⁶ Pa)/(2×3.14) = 2160/6.28 = 343.95 N·m. Since torque (mechanical) efficiency reduces the useful output relative to the input, the actual INPUT torque required = Theoretical torque / efficiency = 343.95/0.90 = 382.17 N·m.
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