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Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.549 × 10¬³ m² /s and the diameter of the nozzle you hold is 5.27 × 10¬³ m. At what speed v does the water exit the nozzle?

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.549 × 10¬³ m² /s and the diameter of the nozzle you hold is 5.27 × 10¬³ m. At what speed v does the water exit the nozzle?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I put in 20.83 and it was incorrect. 

### Question 22 of 40 **Scenario:** Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of \(0.549 \times 10^{-3} \, \text{m}^3/\text{s}\) and the diameter of the nozzle you hold is \(5.27 \times 10^{-3} \, \text{m}\). At what speed \(v\) does the water exit the nozzle? **Solution:** The calculated exit speed \(v\) of the water from the nozzle is: \[v = 20.83 \, \text{m/s}\] This illustrates how fluid dynamics principles, such as flow rate and nozzle diameter, determine the speed of water exiting a garden hose.
Transcribed Image Text:### Question 22 of 40 **Scenario:** Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of \(0.549 \times 10^{-3} \, \text{m}^3/\text{s}\) and the diameter of the nozzle you hold is \(5.27 \times 10^{-3} \, \text{m}\). At what speed \(v\) does the water exit the nozzle? **Solution:** The calculated exit speed \(v\) of the water from the nozzle is: \[v = 20.83 \, \text{m/s}\] This illustrates how fluid dynamics principles, such as flow rate and nozzle diameter, determine the speed of water exiting a garden hose.
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