Question

What force (in N) must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2200 kg car (a large car) resting on the slave cylinder? The master cylinder has a 2.50 cm diameter, while the slave has a 24.0 cm diameter.

Answer 1

To calculate the force required to support the weight of a car on a hydraulic lift, we can use Pascal's law and the equation: Force on master cylinder / Force on slave cylinder = Area of master cylinder / Area of slave cylinder. Given the weight of the car and the diameters of the master and slave cylinders, we can calculate the force required.

Step-by-step explanation:

To calculate the force required to support the weight of the car, we can use Pascal's law, which states that the pressure in an enclosed fluid is transmitted equally in all directions.

We can use the equation:

Force on master cylinder / Force on slave cylinder = Area of master cylinder / Area of slave cylinder

Given that the weight of the car is 2200 kg, we can calculate the force required:

1. Calculate the area of the master cylinder using the formula: Area = π * radius^2
2. Calculate the area of the slave cylinder using the same formula.
3. Substitute the values into the equation and solve for the force on the master cylinder.