Subtopic: Steering and hydraulic control systems used in tractors
Question Statement:
A double acting hydraulic cylinder has bore and rod diameter of 76 mm and 25 mm, respectively. In extension as well as retraction strokes of the cylinder, the oil flow rate to the cylinder from the pump is 40 L min⁻¹. The velocity of the piston during retraction stroke in m s⁻¹ is__________. [round off to two decimal places] (Take π = 3.14)
Official Answer Key:
0.14 to 0.18
Step-by-Step Solution & Explanation
• Annular area = bore area − rod area = 4534.16 − 490.625 = 4043.535 mm²
• Retraction velocity = Q/Annular area = 666,667 mm³/s ÷ 4043.535 mm² = 164.89 mm/s = 0.16 m/s
Computed value: 0.16 m/s (within official range 0.14–0.18)
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