Fluids, flow velocity and flow rate.

AI Thread Summary
Water flows from a container through a 50mm diameter hole at a rate of 36 liters per minute, which converts to a flow rate of 0.6 L/s. The initial calculation for flow velocity was incorrect due to unit errors. The correct formula for flow velocity is flow rate divided by the cross-sectional area of the hole, calculated as 0.6 L/s divided by π times the radius squared. After correcting the units, the flow velocity is determined to be 0.306 m/s. Accurate unit conversion is crucial for solving fluid dynamics problems.
Sum'Random
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Homework Statement


Water is flowing from a container through a 50mm diameter hole at 36 liters a minute. Calculate the flow rate in L/s and the flow velocity through the hole.


Homework Equations






The Attempt at a Solution


flow rate all i did was 36L/60s to get 0.6 L/s
flow velocity is where i am stuck.
Is it flow rate / Pi x r^2
So 0.6 / 0.00196 = 305.6 ms-1


missed a few classes due to illness typical most my assignment that is due was covered in them days i miss. Any help would be great.

Thanks
 
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Hi, Sum'Random. Welcome to PF.

You have the right idea.

Sum'Random said:
Is it flow rate / Pi x r^2
So 0.6 / 0.00196 = 305.6 ms-1

Watch those units. This is not the correct answer.
 
ohh i see what i missed, Thank you

0.6 / Pi x(0.025)^2
= 305.6
305.6/1000
=0.306 ms
 

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