Flotation concept
INTRODUCTION
The branch of physics which deals principally with the
properties of liquids is called hydrostatics. It includes consideration of
the equilibrium of liquids as well as of bodies in equilibrium under the
action of forces, some of which are produced by liquids.
The fundamental laws on which hydrostatics is founded are
only two in number :
(i) The force exerted by a liquid on any surface with which
it is in contact, is perpendicular to that surface and is called 'thrust'.
(ii) Any pressure communicated to a liquid is equally
transmitted through the whole liquid in every direction. These two laws are
understood with the help of concepts of thrust and pressure. Hence, we shall
begin this chapter by defining these two key terms.
THRUST AND PRESSURE
Thrust. A body always exerts a force equal to its weight on
any surface supporting it. The effect of this force on the surface depends on
the area on which it is spread. Thus,
Force acting normally on a surface is called the thrust.
Thrust is a vector quantity and is measured in the unit of
force, i.e., newton (N). Pressure. In order to understand the concept of
pressure, let us consider some examples related to practical life.
1. When you stand on loose sand, your feet sink deeply into
it. But if you lie down on it, your body sinks in very little. In either
case, the force exerted on the sand is due the weight of your body and is the
same. When you stand, this force is acting on a smaller area of the sand but
when you down, the same force acts on a larger area of the sand.
2.A sharp knife cuts easily than a blunt knife by applying
the same force.
3. A sharp needle pressed against our skin pierces it. But a
blunt object with a wider contact area does not affect the skin when pressed
against it with the same force.
4. If an elephant happens to step on a man's chest, his ribs
would crack. But a circus performer saves himself from such an accident by
placing a large, light but strong wooden plank on his chest.
From the above discussion, it follows that the effect of the
forces of the same magnitude on different areas is different. Smaller the
area on which the force acts, greater is the impact. Thus, in considering the
action of a force on a surface, we must think of force acting on a unit area
rather than the total force. This leads us to the concept of pressure.
The thrust acting on unit area of the surface is called the
pressure.
P=F/A
A Units of Pressure. The SI unit of pressure is called
pascal (Pa) in honour of Blaise Pascal.
1 Pa = 1 N/m2
One pascal is defined as the pressure exerted on a surface
of area of 1 m2 by a thrust of 1 N (acting normally on it).
Other units of pressure are bar and millibar (m bar) where 1
bar = 105 N/m2 and 1 millibar = 102 N/m2
It is a common practice in meteorology to measure
atmospheric pressure in bars and millibars. Further, 1 atmospheric pressure
(1 atm) = 101.3 k Pa = 1.013 bar = 1013 m bar
SOME INTERESTING ASPECTS OF PRESSURE
Since pressure is dependent on the surface area in contact,
it is, therefore, important to know the area over which a given force acts.
This fact is made use of in several practical situations, some of which are
briefly discussed below.
1. The foundation of a building or a dam has a large surface
area so that the pressure exerted by it on the ground is less. This is done
to prevent the sinking of the building or the dam into the ground.
2. The tyres of a bus or a truck have larger width than
those of a car. Further, the number of tyres of heavy vehicles is more than
four. This is done to enable the tyres to carry more weight and to prevent
sinking into ground.
3. Cutting tools are either made sharp or pointed in order
to produce maximum pressure with minimum thrust.
4. Nails and pins have pointed ends so that these can be
fixed with minimum force because the pressure on the pointed ends would be
large.
5. A sleeping mattress is so designed that when you lie on
it, a large area of your body comes in its contact. This reduces the pressure
on the body and sleeping becomes comfortable.
6. Wide wooden sleepers are kept below railway lines to
reduce pressure on the railway tracks and prevent them from sinking into
ground.
On Your Tips
1. Force acting normally on a surface is called thrust.
2. Pressure (P) is the thrust (F) per unit area of the
surface, i.e., P = F/A. Tips 3. The same force acting on a smaller area
exerts a larger pressure and a smaller pressure while acting on a larger
area.
4. The unit of pressure is pascal (Pa) where 1 Pa = 1 N/m2.
Other units of pressure are (i) bar (ii) millibar (m bar) and (iii) atm 1 bar
= 105 Pa and 1 m bar = 102 Pa 1 atmospheric pressure (1
atm) = 1.013 105 N/m2 = 1.013 105 Pa
=101.3 k Pa = 1.013 bar
NOTE
It is surprising to think that how a human being can
withstand such an enormous thrust (15.2 ton wt) without any discomfort while
it is impossible for him even to carry a load of one ton. There are openings
and innumerable pores on the skin of the body through which air goes within
the system. As such there is free communication between inside and outside of
the body. The pressure of air inside the body counter-balances the pressure
outside the body. Consequently, just as a lump of cotton in air can fly about
safely without being squeezed by atmospheric pressure, any delicate part of
the human system is equally safe. The pressure of blood within veins is matched
against the outside atmospheric pressure. But if the outside atmospheric
pressure alters, for example, in climbing up high altitude or in living under
sea, precautions should be taken to compensate the difference of pressures
inside and outside the body. |
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