Chapter 9, Problem 34P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Wafer flowing through a garden hose of diameter 2.74 cm fills a 25.0-L bucket in 1.50 min. (a) What is the speed of the water leaving the end of the hose? (b) A nozzle is now attached to the end of the hose. If the nozzle diameter is one-third the diameter of the hose, what is the speed of the water leaving the nozzle?

(a)

To determine
The speed of water leaving end of the hose.

Explanation
The volume flow rate is defined as V/t=Av and speed of the water leaving end of the hose is v=V/At . The area of cross section of the hose would be A=Ï€r2=Ï€(d/2)2=Ï€d2/4 and this is used in the expression of speed of the water for the area of cross section.

Given info: The diameter of the hose is 2.74â€‰cm and volume of water flows in a minute is 25.0â€‰L .

The formula for the speed of water at the end of the hose is,

v=VÏ€(d2/4)t

• V is volume of water.
• d is diameter of the hose.
• t is time for fill the bucket.

Substitute 25.0â€‰L for V , 2.74â€‰cm for d , and 1â€‰min for t to find v

(b)

To determine
The speed of water leaving the nozzle.

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