Water flows through a water hose at a rate of Q1 = 580 cm3/s, the diameter of the hose is d1 = 1.99 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 11.2 m/s. Part (a) Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1. Part (b) Calculate the numerical value of A1, in square centimeters. Part (c) Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1. Part (d) Calculate the speed of the water in the hose, v1 in meters per second.
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.
Water flows through a water hose at a rate of Q1 = 580 cm3/s, the diameter of the hose is d1 = 1.99 cm. A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of v2 = 11.2 m/s.
Part (a) Enter an expression for the cross-sectional area of the hose, A1, in terms of its diameter, d1.
Part (b) Calculate the numerical value of A1, in square centimeters.
Part (c) Enter an expression for the speed of the water in the hose, v1, in terms of the volume flow rate Q1 and cross-sectional area A1.
Part (d) Calculate the speed of the water in the hose, v1 in meters per second.
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