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Question

# A Pump supplies oil at 0.002m3/sec. to a 50 mm diameter double acting cylinder and a rod diameter is 20 mm. If the load is 6000 N bolts in extending and retracting stroke, the piston velocity during the extension and retraction stroke are

A
2 m/sec, 2.3 m/sec
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B
1 m/sec, 1.2 m/sec
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C
1.2 m/sec, 1.5 m/sec
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D
1.5 m/sec, 1 m/sec
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Solution

## The correct option is B 1 m/sec, 1.2 m/secOil flow rate from pump(Qin)=0.002m3/sec Diameter of the cylinder (D)=50mm =0.05m Diameter of the rod (d)=20mm =0.02m Load during extension and return stroke (F)=6000N.Piston velocity during extension stroke(V1)=QinAp=0.002π4(D2)=0.002×4π(0.05)2 =1m/sec. Piston velocity during return stroke(V2)=Qin2Ap−Ar =0.02π4(D2−d2)=0.02π4(0.052−0.022) =1.2m/sec.

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