A dump truck uses a hydraulic cylinder, as the drawing illustrates. When activat
ID: 1264780 • Letter: A
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 2.78 x 106 Pa and drives the output plunger, which has a radius of 0.240 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 2.78 x 106 Pa and drives the output plunger, which has a radius of 0.240 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
Figure is not Given But I am solving question as i know the figure for this problem.
the pressure P' exerted o the bed of the truck by the
plunger will be
P' = P - Patm
but we know that pressure = force / area
so
P = F / A
the force is
F = ( P - Patm) A
if we assume that the plinger remains perpendicular tothe floor of the load bed the torque that
the plunger creates will be about the axisas shown in the figure
then the torque is
Torque = F l
= ( P - Patm) A L
= ( P -Patm) (pi r2) L
= (2.78 x 106 Pa - 1.01 x105 Pa) (pi) (0.249 m)^2 ( L )
Substitute the value of L = length of dump truck trolley from the image and calculate the answer.
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