In A double -acting steam engine, the avearge pressure of steam is `8xx10^(4) Nm^(-2)`. The length of the stroke is 0.8 m and area of cross-section of the piston is `0.18 m^(2)`. If the piston makes 6 revolution per second, calculate the horse power of the engine.

The cross-sectional area of water pipe entering the basement is 4 cm^(-2) . The pressure at the point is 3.5 xx 10^(5) Nm^(-2) and the speed of water is 2.2 ms^(-1) . This pipe tapers to a cross-sectional area of 2 cm^(2) when it reaches the second floor 10 m above . Calculate the speed and pressure at the second floor. use g = 10 m//s^(2) .

The area of cross section of a steel wire (Y=2.0 xx 10^(11) N//m^(2)) is 0.1 cm^(2) . The force required to double is length will be

A cylinderical vessel contaning liquid is closed by a smooth piston of mass m. the area of cross-section of the piston is A. if the atmospheric pressure is P_(0), Find the pressure of the liquid just below the piston.

In a car lift , compressed air with a gauge pressure of 4.0 xx 10^(5) Pa is used to raise a piston with a circular cross-sectional area . If the radius of the piston is 0.17 m , what is the maximum mass that can be raised using this piston ?

An ideal monatomic gas is confined in a cylinder by a spring-loaded piston of cross-section 8.0xx10^-3m^2 . Initially the gas is at 300K and occupies a volume of 2.4xx10^-3m^3 and the spring is in its relaxed (unstretched, unompressed) state, fig. The gas is heated by a small electric heater until the piston moves out slowly by 0.1m. Calculate the final temperature of the gas and the heat supplied (in joules) by the heater. The force constant of the spring is 8000 N//m , atmospheric pressure is 1.0xx10^5 Nm^-2 . The cylinder and the piston are thermally insulated. The piston is massless and there is no friction between the piston and the cylinder. Neglect heat loss through lead wires of the heater. The heat capacity of the heater coil is negligible. Assume the spring to be massless.