A large weight tank is used to calibrate a flow meter. Measurements of weight as

Question

A large weight tank is used to calibrate a flow meter. Measurements of weight as a function of time are performed using an electronic scale. Water (p = 1.94 slug/ft^3) enters the tank vertically from the flow meter at a steady velocity of 20 ft/s though a 1.5 in. diameter pipe. The tank is initially empty, and the wright of the empty tank is 50 lbf. Neglect the water velocity inside the tank. At t = 10 seconds, determine (a) the true wright (lbf) of the water plus the tank and (b) the wright (lbf) indicated by the scale.

Explanation / Answer

mass flow rate = density *velocity*area

= 1.94*32.174*20*pi*(0.125)^2/4 since 1 slug = 32.174 lbm

= 15.31 lbm/s

at t = 10 sec,

a. mass of water = 15.31*10

= 153 lbm

a. water + tank

= 50 + (153*32.174)

= 4978.91 lbf

b. indicated by scale = 4928 lbf

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