A child fills up a water gun with water from a pool. She holds the gun just completely submerged at an angle of θ = 35° from horizontal while pulling on the handle to suck water into the water gun tank. The tank has a length of L = 0.65 meters, and the nozzle of the gun has a cross-sectional area A1 that is 160 times smaller than the area of the tank, A2. a. Write an expression for the max absolute pressure at the tip of the water gun P100%, using P0 as the atmospheric pressure and ρ as the density of water. b. What is this pressure P100%, in pascals? c. The girl pulls the plunger so that the water evenly fills the length of the tank in a time t. Determine the speed of the water moving through the nozzle, in terms of this time, the length L, and the areas A1 and A2
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.
A child fills up a water gun with water from a pool. She holds the gun just completely submerged at an angle of θ = 35° from horizontal while pulling on the handle to suck water into the water gun tank. The tank has a length of L = 0.65 meters, and the nozzle of the gun has a cross-sectional area A1 that is 160 times smaller than the area of the tank, A2.
a. Write an expression for the max absolute pressure at the tip of the water gun P100%, using P0 as the atmospheric pressure and ρ as the density of water.
b. What is this pressure P100%, in pascals?
c. The girl pulls the plunger so that the water evenly fills the length of the tank in a time t. Determine the speed of the water moving through the nozzle, in terms of this time, the length L, and the areas A1 and A2.
d. If the girl pulls the plunger so that the pressure in the tank of the water gun is 0.12P0 and the tanks fill in a time 46 s, what is the pressure in the nozzle during this process, in pascals.
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