A force of 10N is applied to piston "A" .
Calculate the work done by both pistons if piston "A" moves down 10cms..
Work
= force X distance
The work done by both pistons is equal. So the work done by piston "A"
is
Work = 10N X 0.1m = 1Nm = 1Joule
Calculate the distance traveled by piston "B" if piston "A"
moves down 10cms.
The force exerted by piston "A" is 100N. Now since
the work done by both pistons is the same the expression below holds for
piston "B"
work = force X distance
1J = 100N X distance(m)
0.01m = distance = 1cm
Calculate the pressure of the fluid.
The
pressure of the fluid is produced by the force applied to piston "A"
Pressure = force / area
Pressure = 10N / 10cm2
= 1N/ cm2
Calculate the maximum force that is exerted on the load by piston "B".
Force
= pressure X area
Force = 1N/cm2 X 100cm2
= 100N
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On the left is a hydraulic press. A force of 100N is applied to piston "A".
Calculate the work done by both pistons.
Work
= force X distance
The work done by both pistons is equal. So the work done by piston "A"
is
Work = 100N X 0.1m = 10Nm = 10Joule
Calculate the distance traveled by piston "B"
The
force exerted by piston "B" is 25N. Now since the work done by
both pistons is the same the expression below holds for piston "B"
work = force X distance
10J = 25N X distance(m)
0.4m = distance = 40cm
Calculate the pressure of the fluid.
The
pressure of the fluid is produced by the force applied to piston "A"
Pressure = force / area
Pressure = 100N / 80cm2
= 1.25N/ cm2
Calculate the maximum force that is exerted on the load by piston "B".
Force
= pressure X area
Force = 1.25 N/cm2 X 20cm2
= 25N
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Stephen uses a 2.5ml syringe and a 10ml syringe connected by a water filled tube to lift the brick as shown on the left. He places the 10ml syringe under the brick and pushes on the 2.5ml syringe. A force of 10N is required to just lift the brick.
What force must Stephen apply to the small syringe?
The
ratio of the surface areas between the two syringes is 1:4.
A force of 2.5N applied to the small syringe will provide a force of 10N
on the large piston.
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| Hydraulics Multiplying forces
exercises |
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On
the left is a hydraulic press. A force of 10N is applied to piston "A".
Calculate the work done by
both pistons if piston "A" moves down 10cms. Calculate the distance traveled by piston "B" if piston "A" moves down 10cms. Calculate the pressure of the fluid. Calculate the maximum force that is exerted on the load by piston "B". Solution |
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On the left is a hydraulic
press. A force of 100N is applied to piston "A". Calculate the work done by
both pistons. Calculate the distance traveled by piston "B" if piston "A" is depressed 10cms. Calculate the pressure of the fluid. Calculate the maximum force that is exerted on the load by piston "B". Solution |
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Stephen uses a 2.5ml syringe and a 10ml syringe connected by a water filled tube to lift the brick as shown on the left. He places the 10ml syringe under the brick and pushes on the 2.5ml syringe. A force of 10N is required to just lift the brick. What force must Stephen apply to the small syringe so that the large syringe just lifts the brick? Solution | |