R P Goyal and S P Tripathi Solutions for Chapter: Pressure in Fluids and Atmospheric Pressure, Exercise 1: EXERCISE–4(A)

In a hydraulic machine, a force of $2 \mathrm{N}$ is applied on the piston of area of cross section $10 {\mathrm{cm}}^2$. What force is obtained on its piston of area of cross-section $100 {\mathrm{cm}}^2$?

What should be the ratio of area of cross-section of the master cylinder of a hydraulic brake so that a force of $15 \mathrm{N}$ can be obtained at each of its brake shoe by exerting a force of $0.5 \mathrm{N}$ on the  pedal?

The areas of piston in a hydraulic machine are $5 {\mathrm{cm}}^2$ and $625 {\mathrm{cm}}^2$. What force on the smaller piston will support a load of $1250 \mathrm{N}$ on the larger piston? State any assumption which you make in your calculation? 

A force $50 \mathrm{kgf}$ is applied to the smaller piston of a hydraulic machine. Neglecting friction, find the force exerted on the large piston, if diameters of the pistons are $5 \mathrm{cm}$ and $25 \mathrm{cm}$ respectively.

Two cylindrical vessels fitted with pistons A and B of area of cross-section $8 {\mathrm{cm}}^2$ and $320 {\mathrm{cm}}^2$ respectively, are joined at their bottom by a tube and, they are completely filled with water. When a mass of $4 \mathrm{kg}$ is placed on the piston A, find the pressure on piston A.

Two cylindrical vessels fitted with pistons A and B of area of cross section $8 {\mathrm{cm}}^2$ and $320 {\mathrm{cm}}^2$ respectively, are joined at their bottom by a tube and they are completely filled with water. When a mass of $4 \mathrm{kg}$ is placed on the piston A, find the pressure on piston B.

Two cylindrical vessels fitted with pistons A and B of area of cross section $8 {\mathrm{cm}}^2$ and $320 {\mathrm{cm}}^2$ respectively, are joined at their bottom by a tube and, they are completely filled with water. When a mass of $4 \mathrm{kg}$ is placed on the piston A, find the thrust on piston B.

What force is applied on a piston of area of cross-section $2 {\mathrm{cm}}^2$ to obtain a force $150 \mathrm{N}$ on the piston of area of cross-section $12 {\mathrm{cm}}^2$ in a hydraulic machine?