A pump is used to circulate oil in an engine.If the diameter of the tube connecting the pump to the engine is increase by a factor of 2,the resulting pressure drop at the end of the tube changes by a factor of
A)1/32
B)1/16
C)1/8
D)1/2
E)1/4

Question

Quizplus · Accepted Answer

The pressure drop in a tube is inversely proportional to the fourth power of the diameter (Poiseuille's Law). If the diameter is increased by a factor of 2, the pressure drop decreases by a factor of 2^4 = 16. Thus, the pressure drop changes by a factor of 1/16.

A Pump Is Used to Circulate Oil in an Engine