Suppose you spray your sister with water from a garden hose. the water is supplied to the hose at a rate of 0.401 × 10 − 3 m 3 / s and the diameter of the nozzle you hold is 5.27 × 10-3 m. at what speed does the water exit the nozzle?

To solve this problem it is necessary to apply the concepts related to the Flow Rate. It is understood as the volumetric amount transported during a certain time and can be calculated as

Where

A = Area

V = Velocity

Our values are given as

Replacing and rearranging to find the velocity

Therefore the speed of the water at the end of the Nozzle is 4.59m/s

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