At what speed is the water in the hose moving?

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The discussion focuses on calculating the speed of water in a hose connected to a nozzle, with the hose speed determined to be 42.589 cm/s and the volume flow rate calculated at 84.989 cm³/s. Participants clarify that the mass flow rate can be derived from the volume flow rate by multiplying it with the density of water. The connection between mass flow rate and volume flow rate is emphasized, highlighting Bernoulli's Principle that mass entering and exiting a pipe must be equal. The confusion around density conversion is addressed, leading to a better understanding of the calculations involved. Ultimately, the relationship between volumetric flow rate and fluid density is confirmed as essential for solving the problem.
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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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