Question

Selena uses a garden hose to fill a bucket of water. The water enters the hose through a faucet with a 6.0 cm diameter.

The speed of the water at the faucet is 5/ms.

If the faucet and nozzlw are at the same height, and the water leaves the nozzle with a speed of 20 m/s, what is the diameter of the nozzle?

Answer 1

3 cm

Step-by-step explanation:

To answer this question the equation of continuity can be used

For us to use the equaition of continuity, we will make a few assumptions:

• That the temperature of the water does not change, therefore there is not expansion or contraction (change in volume)
• That the flow is non-viscous
• That there is a single entry and a single exit
• That the water is incompressible

`A_(1)v_(1) = A_(2) v_(2) \\\pi (3cm)^(2) * 5m/s = \pi r^(2) *20m/s\\\\r = 1.5 cm\\D = 2r = 2*1.5cm=3 cm`