Question

Motor oil , with a viscosity of 0 . 250 Ns / m2 , is flowing through a tube that has a radius of 5 . 00 mm and is 25 . 0 cm long . The drop in pressure is 300 kPa . What is the volume of oil flowing through the tube per unit time ?

Answer 1

1.1775 x 10^-3 m^3 /s

Step-by-step explanation:

viscosity, η = 0.250 Ns/m^2

radius, r = 5 mm = 5 x 10^-3 m

length, l = 25 cm = 0.25 m

Pressure, P = 300 kPa = 300000 Pa

According to the Poisuellie's formula

Volume flow per unit time is

`V=(\pi * Pr^(4))/(8\eta l)`

`V=(3.14 * 300000* \left ( 5* 10^(-3) \right )^(4))/(8* 0.250* 0.25)`

V = 1.1775 x 10^-3 m^3 /s

Thus, the volume of oil flowing per second is 1.1775 x 10^-3 m^3 /s.