The vertical face of a dam across a river has the shape of a parabola 20 m across the top and 10 m deep at the centre. Set up an integral representing the force that the river exerts on the dam if the water level is 6 m above the lowest point of the dam. There is no need to find the value of the force, only the set up of the integral is required, however, all the details are expected.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
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