Question

A constriction in a pipe reduces its diameter from 4.0cmto2 .0cm. Where the pipe is narrow the water speed is 8.0m/s. Where it is wide the water speed is: A. 2.0m/s B. 4.0m/s C. 8.0m/s D. 16m/s E. 32m/s

Answer 1

Answer:

16m/s

Explanation:

the narrowed portion of the pipe is 2cm and the wide section is 4cm. clearly that double in the diameter so its contains double water.

Answer 2

Therefore the the speed of water at wider end will be 4.0 m/s

Option (B) is correct.

Explanation:

Given data:

Diameter of pipe = 4.0 cm to 2.0 cm

Water speed at narrow end = 8.0 m/s

Speed at wider end = ?

Formula:

A1 = πr1^2

A2 = πr2^2

As the area of pipe decreases and the rate of flow increases.

Similarly if the area is increased than the rate of flow will decrease due to decrease in pressure.

Therefore the the speed of water at wider end will be 4.0 m/s