Q.A CLOSED COMPARTMENT CONTAINING GAS IS MOVING WITH SOME ACCELERATION IN HORIZONTAL DIRECTION.NEGLECT EFFECT OF GRAVITY. THEN PRESSURE IN THE COMPARTMENT IS
Pressure:
It is the force acting normally per unit area.
Pressure exerted by fluids:
Case I: (due to gravitational force acting in vertical direction)
Here, is density of the fluid, g is acceleration due to gravity, and h is height of the fluid column.
Case II: (due to the external force acting in horizontal direction)
Here, a is acceleration in horizontal direction and x is horizontal displacement.
Closed compartment is moving in horizontal direction with acceleration 'a':
This belongs to the case of external force acting in horizontal direction (case - II)
Hence,
Differentiate with respect to x.
The negative sign implies that there is a fall in pressure as the compartment is accelerated
in horizontal direction. In other words, when the compartment is accelerated in positive x
direction, then there is a decrease in pressure occurs in positive x direction.
Hence, the pressure in the compartment is smaller in front side.
Effect of opposite forces on the gas:
The opposite forces acting on the gas results some net force and it cause the gas to move.
It is the force acting normally per unit area.
Pressure exerted by fluids:
Case I: (due to gravitational force acting in vertical direction)
Here, is density of the fluid, g is acceleration due to gravity, and h is height of the fluid column.
Case II: (due to the external force acting in horizontal direction)
Here, a is acceleration in horizontal direction and x is horizontal displacement.
Closed compartment is moving in horizontal direction with acceleration 'a':
This belongs to the case of external force acting in horizontal direction (case - II)
Hence,
Differentiate with respect to x.
The negative sign implies that there is a fall in pressure as the compartment is accelerated
in horizontal direction. In other words, when the compartment is accelerated in positive x
direction, then there is a decrease in pressure occurs in positive x direction.
Hence, the pressure in the compartment is smaller in front side.
Effect of opposite forces on the gas:
The opposite forces acting on the gas results some net force and it cause the gas to move.