Water flows in a flexible tube of radius 1.5 cm at the floor level of a house.If the tube is joined to a second tube of smaller radius (1.2 cm),what is the speed of water in this smaller radius tube at a height of 7.2 m above the floor?
A) 8.9 m/s
B) 4.5 m/s
C) 13.9 m/s
D) 11.1 m/s

Question

Quizplus · Accepted Answer

Using the principle of conservation of mass (continuity equation) and Bernoulli's equation, the speed of water in the smaller tube can be calculated. The continuity equation gives the relationship between the velocities and cross-sectional areas of the two tubes, and Bernoulli's equation accounts for the change in height. Solving these equations gives a speed of approximately 11.1 m/s in the smaller tube.

Water Flows in a Flexible Tube of Radius 1