Question

Water flows through a rubber hose 2 cm in diameter at a velocity of 4 m/s. What is the rate of flow rate of flow in m^3/min?

(a) 0.0754 m^3/min

(b) 0.0750 m^3/min

(c) 0.0764 m^3/min

(d) 0.0760 m^3/min

This question was posed to me in examination.

The origin of the question is Fluids in Motion topic in section Fluid Flow and Mixing of Bioprocess Engineering

Answer 1

Right option is (a) 0.0754 m^3/min

For explanation: R = v1A1 = v2A2

R = v1A1; A1 = \(\frac{\pi d_2^1}{4}\)  

R1 = v1 \(\frac{\pi d_2^1}{4} = \frac{(4 \frac{m}{s})\pi(0.02 m)^2}{4}\)  

R1 = 0.00126 m^3/s

R1 = \(0.00126 \frac{m^3}{min} (\frac{1 min}{60 s})\)  

R1 = 0.0754 m^3/min.