A water main with a radius of 0.15 m contains water with an average velocity of 3 m/s .What is the flow rate in the water main?
To calculate the flow rate in the water main, we need to use the formula:
Flow rate = Area x Velocity
1. First, we need to find the area of the water main. The water main is assumed to have a circular cross-section, so the area can be found using the formula for the area of a circle:
Area = π x (radius)^2
In this case, the radius of the water main is given as 0.15 m, so we can substitute it into the formula to get:
Area = π x (0.15)^2
2. Next, we need to find the average velocity of the water flowing through the water main. It is given as 3 m/s.
3. Now that we have the values for the area (step 1) and the velocity (step 2), we can calculate the flow rate using the formula:
Flow rate = Area x Velocity
Substituting the values we have:
Flow rate = π x (0.15)^2 x 3
Now, we can simplify this expression by calculating the values inside the parentheses and multiplying by π and 3:
Flow rate = 0.0707 x 3
Flow rate = 0.2121
Therefore, the flow rate in the water main is 0.2121 m^3/s.