Pressure

Pressure is defined as force acting normally on unit area of the surface.

 \textbf{Pressure (p)} = \frac{F}{A} = \frac{Normal.force.on.the.surface}{Ares.of.the.surface}

SI unit of pressure is N/m2 also called pascal (Pa), Pressure is a scalar quantity.

Some application of the concept of pressure:

  • The bags and suitcases are provided with broad handles so that small pressure is exerted on the hand while carrying them.
  •  Railway tracks are laid on large-sized wooden sleepers so that thrust due to weight of train is spread over a large area.
  • Pins are made to have pointed ends. This explains why needle is used to brust a gas filled balloon because needle exerts more pressure.

Atmospheric Pressure:

Atmospheric pressure is that is that pressure which is exerted by a mercury column of 76 cm; length at 0°C at 45° latitude at the sea-level. It is equal to weight of 76 cm column of mercury of cross-sectional area 1 cm2. Generally it is measured in bar. 1 bar = 105 N/m2

Atmospheric pressure 1 atm = 1.01 bar = 1.01 x 105 N/ m2= 760 torr

One torr is the pressure exerted by a mercury column of 1 mm length.

  • Atmospheric pressure decreases with altitude (height from earth's surface). This is why 1. It is difficult to cook on the mountain 2. The fountain pen of a passenger leaks in aeroplane at height.
  • Atmospheric pressure is measured by barometer. With the help of barometer, weather forecast can be made.
  • Sudden fall in barometric reading is the indication of storm.
  • Slow fall in barometric reading is the indication of rain.
  • Slow rise in the barometric reading is the indication of clear weather.

Pressure in liquid:

Force exerted on unit area of wall or base of the container by the molecules of liquid is the pressure of liquidThe pressure exerted by liquid at depth h below the surface of liquid is given as p = hdg where d is the density of liquid.

  • Regarding pressure, the following points are worth noting:

1. In a static liquid at same horizontal level, pressure is same at all points.

2. Pressure at a point in a static liquid has same value in ill directions

3. Pressure at a point in a liquid is proportional to the depth of the point from the free surface.

4. Pressure at a point in a liquid is proportional to the density of the liquid.

Pascal law for pressure of liquid

1. If gravitational attraction is negligible, in equilibrium addition, pressure is same at all points in a liquid.

2. If an external pressure is applied to an exclosed fluid, it transmitted undiminished to every direction.

  • Hydrolic lift, hydrolic press, Hydrolic brake work on Fiscal law.

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