A Hydraulic press has a ram of 30 cm diameter and a plunger of of 2 cm diameter. It is used for

lifting a weight of 35 kN. Find the force required at the plunger.

35kN * (2/30)^2

155k

asszs

To find the force required at the plunger, we can use the principle of Pascal's law, which states that the pressure applied to a fluid in a closed system is transmitted equally in all directions.

First, let's calculate the pressure exerted by the hydraulic press on the weight:

Pressure = Force / Area

The area of the ram can be calculated using the formula for the area of a circle:

Area = π * (radius)^2

The radius of the ram is half its diameter, so:

Radius of the ram = 30 cm / 2 = 15 cm = 0.15 m

Area of the ram = π * (0.15 m)^2

Next, we need to calculate the area of the plunger using the same formula:

Radius of the plunger = 2 cm / 2 = 1 cm = 0.01 m

Area of the plunger = π * (0.01 m)^2

Now, we can find the pressure:

Pressure = Force / Area of the ram

35 kN = Pressure * Area of the ram

Pressure = 35 kN / Area of the ram

Finally, we can find the force required at the plunger by using the pressure and the area of the plunger:

Force at the plunger = Pressure * Area of the plunger

Now you can substitute the values into the equations and calculate the force required at the plunger.