A loading bay uses a hydraulic system with a small piston of diameter

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A loading bay uses a hydraulic system with a small piston of diameter 4.0 cm4.0\,\text{cm}. The operator can apply a maximum force of 450 N450\,\text{N} on this piston. The system must lift loads up to 18 kN18\,\text{kN}. (Take π=3.14\pi = 3.14.) (i) Calculate the minimum diameter required for the large piston so that the load can be lifted. (ii) If the only available large piston diameter is 20 cm20\,\text{cm}, state with calculation whether this size satisfies the load requirement.

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