A pump uses a piston of 15 cm diameter which moves 2 cm/s.What is the fluid velocity of a tube 3 mm in diameter?
A)50 m/s
B)50 cm/s
C)6 cm/s
D)22 cm/s

Question

Quizplus · Accepted Answer

The correct answer is A because the flow rate is constant, so the fluid velocity is inversely proportional to the cross-sectional area. The cross-sectional area of the tube is (3 mm)^2 * pi / 4 = 7.07 mm^2, which is 150 times smaller than the cross-sectional area of the piston. Therefore, the fluid velocity in the tube is 150 times faster than the piston velocity, which is 2 cm/s * 150 = 300 cm/s = 3 m/s.

A Pump Uses a Piston of 15 Cm Diameter Which