At what speed is the water in the hose moving?

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Homework Help Overview

The problem involves fluid dynamics, specifically the flow of water through a hose and nozzle system. The original poster seeks to determine the mass flow rate of water given the speed of water exiting the nozzle and the dimensions of the hose and nozzle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between mass flow rate and volume flow rate, with some noting the importance of water density. There are questions about how to apply this relationship to find the mass flow rate.

Discussion Status

Some participants have provided guidance on the connection between volumetric flow rate and mass flow rate, while others express confusion about how to utilize the density of water in their calculations. Multiple interpretations of the problem are being explored.

Contextual Notes

There is an indication of uncertainty regarding the conversion of units and the application of fluid dynamics principles, particularly Bernoulli's Principle. The original poster has provided some calculations but is seeking further clarification on the mass flow rate.

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Homework Statement



A nozzle of inner radius 1.03 mm is connected to a hose of inner radius 7.97 mm. The nozzle shoots out water moving at 25.5 m/s.
(a) At what speed is the water in the hose moving?
42.589 cm/s
(b) What is the volume flow rate?
84.989 cm3/s
(c) What is the mass flow rate?
_____g/s

Homework Equations





The Attempt at a Solution



I have found the speed of the water and the volume flow rate. I do not know how to find the mass flow rate though. Can anyone help me?
 
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Mass flow rate and volume flow rate are connected by the density of water, right? Since that is mass/volume.
 
Part of Bernoulli's Principle is that the mass that leaves the pipe, must be the same as the mass that enters the pipe.
 
I am still confused on how to find this though. do i just multiply by Rho of water?
 
I can't get this one either...i know they are connected by the density but i don't know what to do with the density
 
Mass flow rate = Volumetric flow rate times the fluid's density.

Volumetric flow rate = fluid velocity times the cross-sectional area.
 
ahh i just was not converting right thanks for the help!
 

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