Solve Hydraulic Pump Homework: F1=33.5 N

In summary, the question asks for the force required on piston 1, with a diameter of 0.797 cm, to support an object with weight 983 N on piston 2, which has a diameter of 4.32 cm. Using the equation F1*d1 = Fp*d2 and assuming the pistons are massless, the force on piston 2 is calculated to be 1.08 N.
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Homework Statement



Piston 1 in the figure below has a diameter of 0.797 cm; piston 2 has a diameter of 4.32 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object, m, with weight 983 N. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).
http://capa6.phy.ohiou.edu/res/ohiou/serwaylib/Graphics/Graph09/serw0918.gif



Homework Equations



F1*d1 = Fp*d2, where d1 is the moment arm of F1, and d2 is
the moment arm of Fp.

The Attempt at a Solution



(33.5 N)(pi*.003895^2)=F2(pi*0.0216^2)
F2= 1.08 N
 
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I can't see your linked .gif file. The site seems to want a login. Perhaps that's why no one has responded to you yet.
 

1. How do I calculate the force of a hydraulic pump?

The force of a hydraulic pump can be calculated using the equation F = P x A, where F is the force, P is the pressure, and A is the area of the piston. In this case, the force is given as F1=33.5 N, so to find the pressure, you would divide the force by the area of the piston.

2. What are the units for pressure in a hydraulic system?

The units for pressure in a hydraulic system are typically measured in Pascals (Pa) or pounds per square inch (psi). In this equation, the force is given in Newtons (N), so the pressure would be calculated in Pascals.

3. How do I determine the area of the piston in a hydraulic pump?

The area of the piston can be determined by dividing the force by the pressure. In this case, the area would be calculated by dividing 33.5 N by the pressure in Pascals.

4. What is the relationship between force and pressure in a hydraulic system?

In a hydraulic system, force and pressure are directly proportional. This means that as the force increases, the pressure also increases, and vice versa. This relationship is described by the equation F = P x A, where F is the force, P is the pressure, and A is the area of the piston.

5. How does a hydraulic pump work?

A hydraulic pump works by converting mechanical energy into hydraulic energy. This is done by using a piston to push fluid (typically oil) through a series of tubes and valves. The force created by the piston is then used to power other mechanical systems, such as lifting heavy objects or operating machinery.

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