Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in wheelbarrows. The flow rate is 220 L/min through a 48-m-long, 7.5-cm-diameter hose, and the pressure at the pump is 7.6 × 106 N/m2 . Randomized VariablesQ = 220 L/min l = 48 m d = 7.5 cm P = 7.6 × 106 N/m2 Part (a) Calculate the resistance of the hose in N⋅s/m5. Part (b) What is the viscosity of the concrete, assuming the flow is laminar in (N/m2)⋅ s? Part (c) How much power is being supplied, assuming the point of use is at the same level as the pump in W? You may neglect the power supplied to increase the concrete’s velocity.
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.
Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in wheelbarrows. The flow rate is 220 L/min through a 48-m-long, 7.5-cm-diameter hose, and the pressure at the pump is 7.6 × 106 N/m2 .
Randomized VariablesQ = 220 L/min
l = 48 m
d = 7.5 cm
P = 7.6 × 106 N/m2
Part (a) Calculate the resistance of the hose in N⋅s/m5.
Part (b) What is the viscosity of the concrete, assuming the flow is laminar in (N/m2)⋅ s?
Part (c) How much power is being supplied, assuming the point of use is at the same level as the pump in W? You may neglect the power supplied to increase the concrete’s velocity.
Step by step
Solved in 4 steps
