A hydraulic press has two piston of section 1500 and 50 cm^2.if we apply the smaller one a force of 30N,calculate the weight we can lift with the other one
the force is proportional to the area
30 N / 50 cm² = f / 1500 cm²
To calculate the weight that can be lifted using the hydraulic press, we can use Pascal's law, which states that the pressure applied to an enclosed fluid is transmitted equally in all directions. This means that the pressure on the smaller piston is equal to the pressure on the larger piston.
We can find the pressure exerted on the smaller piston using the formula:
Pressure = Force / Area
Given that the force applied on the smaller piston is 30N and the area of the smaller piston is 50 cm^2, we can calculate the pressure:
Pressure = 30N / 50 cm^2 = 0.6 N/cm^2
Since the pressure is transmitted equally to the larger piston, we can find the force exerted on the larger piston by multiplying the pressure by the area of the larger piston:
Force = Pressure x Area
Given that the area of the larger piston is 1500 cm^2, we can calculate the force:
Force = 0.6 N/cm^2 x 1500 cm^2 = 900N
Therefore, the weight that can be lifted using the hydraulic press is 900N.