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.