Water (p = lOOO kg/m^3) flow at a mass flow rate of 72 kg/s. What is the volumet

Question

Water (p = lOOO kg/m^3) flow at a mass flow rate of 72 kg/s. What is the volumetric flow rate? What is the velocity in a 4 cm ID pipe? Gasoline (p = 0.026 Ibm/in^3) flows out of a 13/16" nozzle at 1.34 ft^3/min. What is the velocity in ft/s? What is the mass flow rate in Ibm/s Light oil (p = 910 kg/m^3) flows through a 1 m pipeline at 3 m/s. What is the volumetric flow rate? What Is the mass flow rate? You finish a force calculation and get this answer with weird units of 32 lbm-ft/s^2 What is this value in Ibf? You will be judged on properly showing cancellation of terms. Do it again with 522 lbm-ft/s^2.

Explanation / Answer

1. Volumetric flow rate= 72/1000=0.072 m^3/s

velocity= Volumetric flow rate/area = .072/(3.141)(.02)(.02)= 57.3 m/s

2. velocity= Volumetric flow rate/area = (1.34/60)/(3.141*.03*.03)=7.9 ft/s

here, 13/16" = 0.06 ft used

mass flow rate in lbm/s = 1.34*.0833333/(0.026*60)= 4.97*10-4 lbm/s

here 1 inch= 0.083333 feet used

3. Volumetric flow rate= area*velocity = (22/7)*(1/4) d2 = 12*(22/7)*(1/4)=0.785 m3/s

mass flow rate= volume flow rate*density = .785*910 =715 kg/s

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