An aluminium billet is extruded through a steel die by a piston 150mm diameter. If the piston stroke is 1.2 m and the average pressure on the face of the piston is 100MN/m2.
The force exerted by the piston can be calculated using the formula:
Force = Pressure x Area
First, let's calculate the area of the piston:
Radius of piston = 150 mm / 2 = 75 mm = 0.075 m
Area of piston = π * (0.075)^2 = 0.01767 m^2
Now, we can calculate the force:
Force = 100 MN/m^2 * 0.01767 m^2 = 1.767 MN
Since the piston stroke is 1.2 m, the work done by the piston can be calculated using the formula:
Work = Force x Distance
Work = 1.767 MN x 1.2 m = 2.12 MN.m or 2.12 MJ
Therefore, the work done by the piston in extruding the aluminium billet through the steel die is 2.12 MJ.