A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density and closed by two pistons. The small chamber on the right has diameter dand the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance Lfrom the small piston, and a forceof magnitude F0 is applied vertically down at distance 2Lfrom the hinge(Fig.5).You may assume that the lever and pistons have negligible mass. a) Determine the magnitude of the force F in that the small piston exerts on the fluid in the small cylinder.Hint: you may consider that the lever is at rest in the horizontal position. b) Determinethe pressure change applied to the fluid by the small piston. c) Determine the magnitude F out of the force that the fluid applies to the large piston.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density and closed by two pistons. The small chamber on the right has diameter dand the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance Lfrom the small piston, and a forceof magnitude F0 is applied vertically down at distance 2Lfrom the hinge(Fig.5).You may assume that the lever and pistons have negligible mass.
a) Determine the magnitude of the force F in that the small piston exerts on the fluid in the small cylinder.Hint: you may consider that the lever is at rest in the horizontal position.
b) Determinethe pressure change applied to the fluid by the small piston.
c) Determine the magnitude F out of the force that the fluid applies to the large piston.
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