A nozzle with a radius of 0.250 cm
Gerry Palme
Answered question
2022-06-18
A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.900 cm. The flow rate through hose and nozzle is 0.500 L/s. Calculate the speed of the water (a) in the hose and 2 marks (b) in the nozzle.
Answer & Explanation
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Skilled2022-09-14Added 403 answers
Solution for (a)
First, we solve for and note that the cross-sectional area is , yielding
Substituting known values and making appropriate unit conversions yields
Solution for (b)
We could repeat this calculation to find the speed in the nozzle , but we will use the equation of continuity to give a somewhat different insight. Using the equation which states
Solving for and substituting for the cross-sectional area yields
Substituting known values,
Discussion
A speed of is about right for water emerging from a nozzleless hose. The nozzle produces a considerably faster stream merely by constricting the flow to a narrower tube.
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