A hydraulic press has a plunger diameter of 3 and a ram diameter of 10 cm. The handle lengths are y = 40 cm and x = 10 cm. The plunger stroke is 8 cm and the force applied at the handle is 270 Ν. In pairs with your partner: . b) Calculate the work done required to lift the ram 12 cm.
To calculate the work done required to lift the ram 12 cm, we first need to determine the distance that the handle moves.
Using the equation for lever ratios, we can calculate the distance moved by the handle:
handle_distance = (ram_distance * plunger_diameter) / ram_diameter
Given that the ram distance is 12 cm, the plunger diameter is 3 cm, and the ram diameter is 10 cm, we can substitute those values into the equation:
handle_distance = (12 cm * 3 cm) / 10 cm
handle_distance = 3.6 cm
Next, we can calculate the work done using the equation:
work_done = force * distance
Given that the force applied at the handle is 270 N, and the handle distance is 3.6 cm (or 0.036 m), we can substitute those values into the equation:
work_done = 270 N * 0.036 m
work_done = 9.72 Nm
Therefore, the work done required to lift the ram 12 cm is 9.72 Nm.