Calculating Water Viscosity from Flow Rate

AI Thread Summary
The discussion focuses on calculating the viscosity of water using given parameters, including flow rate, height, length, radius, density, and gravitational acceleration. The user converts the flow rate from cm^3/s to m^3/s, resulting in 2 * 10^{-6} m^3/s, and then calculates a value for x. By rearranging the viscosity equation, they arrive at a viscosity value of 9.6 * 10^{-4}. Another participant confirms that this calculation is correct, validating the user's approach. The conversation highlights the importance of unit conversion and the application of fluid dynamics equations.
JosephL
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Homework Statement


Find the viscosity of water given that;

flow rate (cm^3 s^{-1}) = 2.0
height from tube (m) = 0.1

l (m) = 0.2
r (mm) = 1
\rho = 1000
g = 9.81

Using the equations;

x = \frac{Flow Rate}{Height}

x = \frac{\pi \rho gr^4}{8l\eta}

The Attempt at a Solution



Okay so first, and the most important bit I don't know if I'm doing right I convert the flow rate from cm^3 s^{-1} to m^3 s^{-1} by multiplying by 10^{-6}

So flow rate is now 2 * 10^{-6} m^3 s^{-1} ***I don't know if that bit is correct.***

Then x = \frac{2 * 10^{-6}}{0.1} = 2 * 10^{-5}

and 2 * 10^{-5} = \frac{\pi \rho gr^4}{8l\eta}

After re-arranging and substituting I get;

\eta = 9.6*10^{-4}------

If anyone could check my answer it would be greatly appreciated I haven't done physics for so long I've pretty much forgotten everything.

Thanks in advance :smile:
 
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