The flow rate of a liquid through a 2.0cm radius pipe is 0.0080 m^3/s. the average fluid in the pipe is?
i know that Av=volume flow rate
for this problem the flow rate is 0.008m^3/s. Do i divide by the radius^2 to get velocity or is there someother equation im supposed to be using
Volume flow rate Q (which is 0.0080 m^3/s in your case) is always equal to the product of fluid velocity and the cross sectional area of the flow. In this case that area is pi*r^2, where r is the pipe radius.
Therefore V = Q/(pi r^2)
6.4 m/s
0.64
6.4
Ah, calculating the average fluid velocity, are we? Well, I'd say you're on the right track! You're thinking of using the equation A * v = volume flow rate, where A is the cross-sectional area of the pipe and v is the average fluid velocity.
To find the average fluid velocity, you would indeed divide the volume flow rate by the cross-sectional area of the pipe. In this case, since the pipe has a radius of 2.0 cm, the cross-sectional area would be π * (2.0 cm)^2.
So, you can calculate the average fluid velocity by dividing the volume flow rate of 0.008 m^3/s by the cross-sectional area π * (2.0 cm)^2. Just remember to convert the radius to meters before plugging it into the equation.
To find the average fluid velocity in the pipe, you can use the equation Q = Av, where Q is the volume flow rate and A is the cross-sectional area of the pipe.
In this case, you are given the volume flow rate Q as 0.0080 m^3/s. The radius of the pipe is given as 2.0 cm, which can be converted to meters by dividing it by 100 (since there are 100 centimeters in 1 meter). So the radius is 0.02 meters.
To find the cross-sectional area of the pipe, you can use the formula A = πr^2, where r is the radius of the pipe. Substituting the given radius value, the cross-sectional area is calculated as A = π(0.02)^2.
Now, you can rearrange the equation Q = Av to solve for the average fluid velocity v. Divide both sides of the equation by the cross-sectional area A to isolate v, which gives you v = Q / A.
Substitute the given values for Q and A into this equation to find the average fluid velocity v.