A hydraulic press uses oil of density

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

Problem

A hydraulic press uses oil of density 880 kg m−3880\,\text{kg\,m}^{-3}. The small piston has a cross-sectional area of 6 cm26\,\text{cm}^2, while the large piston has an area of 0.30 m20.30\,\text{m}^2. The large piston is situated 0.75 m0.75\,\text{m} vertically above the small piston. A crate of mass 1200 kg1200\,\text{kg} is placed on the large piston and is to be kept just in equilibrium (neither moving up nor down). Answer the following questions with clear working. (i) Calculate the pressure difference between the levels of the two pistons produced solely by the vertical separation. (ii) Determine the minimum force that must be applied on the small piston to hold the crate in equilibrium. (iii) Compute the mechanical advantage offered by the press under these conditions.

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