Question

Find the minimum diameter the larger cylinder of a hydraulic press can have if it is to lift a 1.1 x 10^4 N car with an applied liquid pressure of 420 N/cm^2 in the smaller cylinder, having a diameter of 1.5 cm.

Answer 1

diameter = 5.78 cm .

Step-by-step explanation:

According to Pascal's law, pressure will be equally transferred from smaller to larger cylinder.

Let the radius of larger cylinder be r cm

cross sectional area = π r²

pressure created on larger cylinder = 1.1 x 10⁴ / π r²

This pressure must be equal to 420 N / cm²

1.1 x 10⁴ / π r² = 420

r² = 8.34

r = 2.89 cm

diameter = 5.78 cm .