Calculate Velocity Using Bernoulli's Equation

[grscott_2000]

When using Bernoullis equation, part of it requires velocity to be input as part of it.

I am given flow rate of 5.00 m^3 per second. I am also told the diameter of a pipe that is 0.6 m. How do I calculate velocity?

I am assuming that velocity isn't simply 5.00 m/s

I know that flow rate (Q) = Area x velocity, therefore

velocity = Q / Area

I also know that Area is pi r^2,

thus I think that velocity = 5.00 / (pi * 0.15^2) = 70.7 m per second

Is this correct?

Many thanks for your time

 

[grscott_2000]

Ok, I now know the formula for solving velocity from flow rate and pipe diameter.

If anyone is interested its

4 * flow rate / (pi * (pipe diameter)^2)

 

[m2003]

and help!

Dear scientist,

Yes, your calculation is correct. According to Bernoulli's equation, the velocity can be calculated by dividing the flow rate by the cross-sectional area of the pipe. In this case, the cross-sectional area can be calculated using the diameter of the pipe. By plugging in the values, you have correctly determined the velocity to be 70.7 m/s. It is important to note that this velocity represents the average velocity of the fluid in the pipe. If you want to calculate the velocity at a specific point in the pipe, you will need to consider the fluid's pressure and potential energy at that point as well. I hope this helps. Keep up the good work!