- #1
Z3nt4r0
Homework Statement
Homework Equations
Force exerted by liquids
F=h.d.g.A
4 times?phyzguy said:If the radius of piston B is 4 times the radius of piston A, how much larger is the area of piston B than piston A?
Z3nt4r0 said:4 times?
16?phyzguy said:No.
Z3nt4r0 said:16?
I am not quite sure so I guess not. Can you explain me how to solve the problem?phyzguy said:Yes, but can you explain why?
I just realized that pistons were cylindrical lolphyzguy said:Your approach was right, you just got the areas wrong. You should go back and review how to calculate the area of a circle.
Height, density, and gravity.Chestermiller said:What are h, d, and g in your equation?
Equilibrium in hydraulics refers to the state where all forces acting on a system, such as a piston with different radii, are balanced and there is no motion or change in the system.
Pistons with different radii achieve equilibrium in hydraulics through the principle of equal pressure transmission. This means that the pressure applied to a smaller piston will be transmitted to a larger piston, creating an equal force on both pistons and resulting in equilibrium.
Yes, the equilibrium of pistons with different radii can be affected by external factors such as changes in temperature, viscosity of the fluid, or changes in the weight of the load being lifted by the pistons. These factors can alter the pressure and force balance, causing the system to move out of equilibrium.
The equilibrium equation for pistons with different radii is calculated using the formula P1 x A1 = P2 x A2, where P1 and P2 represent the pressure applied to the smaller and larger pistons respectively, and A1 and A2 represent the surface areas of the pistons. This equation ensures that the pressure and force are balanced on both pistons, resulting in equilibrium.
The equilibrium of pistons with different radii in hydraulics is commonly used in various industries, such as automotive, construction, and manufacturing. It is used in hydraulic lifts, cranes, car brakes, and other machinery that require precise and balanced force distribution. Additionally, it is also used in hydraulic systems in airplanes and rockets for controlling movement and maintaining stability.