The input piston of a hydraulic press is 20mm in diameter, and the output piston is 10mm in diameter. an input force of 1.0N will produce an output force of:
a- 0.25N
b- 0.50N
c- 2.0N
D- 4.0N
To determine the output force of a hydraulic press, we can use Pascal's principle, which states that the pressure applied to a fluid in a confined space is transmitted uniformly in all directions.
The formula for calculating the output force in a hydraulic press is:
Output Force = Input Force x (Output Piston Area / Input Piston Area)
First, we need to calculate the area of the input and output pistons:
Area = π x (Radius)^2
For the input piston:
Input Piston Radius = 20mm / 2 = 10mm = 0.01m
Input Piston Area = π x (0.01m)^2
For the output piston:
Output Piston Radius = 10mm / 2 = 5mm = 0.005m
Output Piston Area = π x (0.005m)^2
Next, substitute the values into the formula:
Output Force = 1.0N x (π x (0.005m)^2) / (π x (0.01m)^2)
Simplifying the equation:
Output Force = 1.0N x (0.005m^2) / (0.01m^2)
Output Force = 1.0N x 0.25 = 0.25N
Therefore, the correct answer is (a) 0.25N