Question

A water tunnel has a circular cross-section with a radius of 1.8 m in its main section. In a test section of the tunnel the radius constricts to a value of 0.60 m. If the speed of water flow is 3.0 m/s in the main section, determine the speed of water flow in the test section.

Answer 1

speed of water flow in the test is 27 m/s

Step-by-step explanation:

given data

cross section radius r1 = 1.8 m

radius constricts r2 = 0.60 m

speed of water flow = 3.0 m/s

to find out

speed of water flow in the test section

solution

we using the continuity equation here

A1 × V1 = A2 × V2 ...............1

put here value we get speed

`((\pi )/(4) d1^2) v1 = ((\pi )/(4) d2^2) v2`

1.8²×3 = 0.6² × v2

v2 = 27 m/s

speed of water flow in the test is 27 m/s