A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activat

Question

A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activated by the operator, a pump injects hydraulic oil into the cylinder at an absolute pressure of 4.25 x 106 Pa and drives the output plunger, which has a radius of 0.180 m. Assuming the plunger remains perpendicular to the floor of the load bed, find the torque that the plunger creates about the axis identified in the drawing.

A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activated by the operator, a pump injects hydraulic oil into the cylinder at an absolute pressure of 4.25 times 106 Pa and drives the output plunger, which has a radius of 0.180 m. Assuming the plunger remains perpendicular to the floor of the load bed, find the torque that the plunger creates about the axis identified in the drawing.

Explanation / Answer

Atmospheric pressure =1.01*10^5 pa
Force of plunger =(4.25*10^6 - 1.01*10^5)*pi* 0.18^2=422316.7606 N
Torque= r cross F = 152649.98*d , where d is the distance over which it travels

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