calculate the force required to move piston A with an area of 1m², if a force of 10 Newton is applied to piston B with an area of 2m²
To calculate the force required to move piston A, we can use Pascal's Law, which states that the pressure exerted on a fluid is transmitted uniformly in all directions. In this case, we can consider the fluid to be incompressible.
First, let's determine the pressure exerted on piston B. We can use the formula:
Pressure = Force / Area
Given that a force of 10 Newton is applied to piston B, with an area of 2m², we can substitute these values into the formula:
Pressure on piston B = 10 N / 2 m² = 5 Pascal
Since the pressure in the fluid is uniform, the pressure acting on piston A will also be 5 Pascal. Now, we can calculate the force required to move piston A using its area.
Force on piston A = Pressure on piston A * Area of piston A
Given that the area of piston A is 1m², and the pressure on piston A is 5 Pascal, we can substitute these values into the formula:
Force on piston A = 5 Pascal * 1 m² = 5 Newton
Therefore, the force required to move piston A is 5 Newton.