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? A) 0.000376 m³/s B) 0.0253 m³/s C) 0.00118 m³/s D) 4.71 m³/s E) 7.54 m³/s

Question

Quizplus · Accepted Answer

First, we need to use Poiseuille's law to find the volume flow rate of the oil:

Q = (πr^4ΔP)/(8ηL)

where Q is the volume flow rate, r is the radius of the tube, ΔP is the pressure drop, η is the viscosity of the oil, and L is the length of the tube.

Plugging in the given values:

Q = (π(0.005 m)^4(300000 Pa))/ (8(0.250 Ns/m^2)(0.25 m))

Q ≈ 0.00118 m^3/s

This is the volume of oil flowing through the tube per unit time, so the answer is C.

Motor Oil, with a Viscosity of 0