Question

(II) The maximum gauge pressure in a hydraulic lift is 17.0 atm. What is the largest-size vehicle (kg) it can lift if the diameter of the output line is 25.5 cm?

Short answer

The hydraulic lift can lift a vehicle of a maximum weight of 8963.3 kg.

Step-by-step solution

Step-1:-Definition of pressure

The pressure is represented as the quantity which indicates the correlation between the force acting on a substance in a unit area.

 Given the data

The maximum gauge pressure is P = 17atm.

The diameter of the output line d = 25.5 cm.

Step-3:-Calculation of the mass of the vehicle

The mass of the vehicle is calculated as;

F = PA

mg =PA

Here A is the area and g is the acceleration due to gravity.

Substitute the values in the above relation.

The maximum weight of the vehicle that the hydraulic lift can lift is 8963.3 kg.