Viscosity: Motor oil, with a viscosity of 0.250 N ∙ s/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 second? 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

Using Poiseuille's Law, we can calculate the volume flow rate:
$V = \frac{\pi r^4 \Delta P}{8\eta L}$
Plugging in the given values, we get:
$V = \frac{\pi (0.005	ext{ m})^4 (300,000	ext{ Pa})}{8(0.250	ext{ N}\cdot	ext{s/m}^2)(0.25	ext{ m})} \approx 0.00118	ext{ m}^3/	ext{s}$
Therefore, the volume of oil flowing through the tube per second is approximately 0.00118 m³/s, which corresponds to choice C.

Viscosity: Motor Oil, with a Viscosity of 0