Question

Rainwater draining from a neighborhood street initially travels at 4 ft/s through a pipe with a cross-sectional area of 15.7 ft2. This pipe connects down the street to another pipe with a cross-sectional area of 65.4 ft2. What would be the speed of the water as it moves through this larger pipe?

Answer 1

The velocity is
`v_2 = 0.96 \ ft/s`

Step-by-step explanation:

From the question we are told that

The initial speed is
`v_1 = 4 \ ft/s`

The cross -sectional area of the first pipe is
`A_1 = 15.7 \ ft`

The cross -sectional area of the second pipe is
`A_2 = 65.4 \ ft`

Generally from continuity equation we have that

`A_1 * v_1 = A_2 * v_2`

So

`v_2 = (A_1 * v_1 )/(A_2 )`

=>
`v_2 = (15.7 * 4 )/(65.4 )`

=>
`v_2 = 0.96 \ ft/s`