Question

3. If a pipe with flowing water has a cross-sectional area nine times greater at point 2 than at point 1, what would be the relation of flow speed at the two points?

Answer 1

The velocity of the flow at point 1 is nine times greater than the velocity at point 2.

Step-by-step explanation:

We know that the same volume of water entering through point 1 must exit through point 2.

The volume of water per unit of time or the volumetric flow is defined by:

`V_(flow)=v*A\\ where:\\V_(flow)= flow [m^3/s]\\v=velocity[m/s]\\A=area [m^2]`

If
`A_(2)=9*A_(1)  \\`

therefore

`v_(1) *A_(1) = v_(2) *A_(2) \\v_(1) *A_(1) = v_(2) *9A_(1) \\\\v_(1) = 9v_(2)  \\`