I having problems converting my answer to just cm.
Given:
Average Velocity = 1 m/s
Water per day = 6,000 m^3/day
Want to find the diameter of fluid flow.
I am using the equation:
D = sqrt(4*q)/(pi*v)
q= volumetric flow rate (6,000 m^3/day)
v= velocity (1 m/s)
when I solve I get 87.4 m^2/s*day. How do i change it do just cm?
I think there's a problem here
sqrt(4q) is sqrt(m^3/day)
v = m/s = sqrt(m^2/s^2)
so, D is sqrt(m^3/day * s^2/m^2) = sqrt(m-s^2/day)
sec^2/day will resolve to just sec, so
D is sqrt(m-s)
If you want just meters, you have a problem. YOu need to multiply by sqrt(m/s)
Sure that it's not
D = sqrt(4q)/(pi*v)^(3/2)
?
I'm not sure how to solve this problem actually. My instructor just said flow area * velocity = volumetric flow rate. Find the diameter.
To convert the result to centimeters (cm), you can use the fact that 1 meter (m) is equal to 100 centimeters (cm).
Since your result is in square meters per day (m^2/day), you need to convert both the square meters (m^2) and the days to square centimeters (cm^2) and days, respectively.
Here's how you can do the conversion step by step:
1. Convert square meters (m^2) to square centimeters (cm^2):
- Multiply the result in square meters (m^2) by the conversion factor of (100 cm/m)^2.
- This cancels out the square meters and gives you the result in square centimeters (cm^2).
2. Convert days to centimeters (cm):
- Multiply the result in days by the conversion factor of 24 hours/day * 60 minutes/hour * 60 seconds/minute * 100 cm/m.
- This cancels out the days and gives you the result in centimeters (cm).
Let's calculate it step by step using your result of 87.4 m^2/s*day:
1. Convert square meters (m^2) to square centimeters (cm^2):
- Multiply 87.4 m^2 by (100 cm/m)^2:
87.4 m^2 * (100 cm/m)^2 = 87,400 cm^2.
2. Convert days to centimeters (cm):
- Multiply 87,400 cm^2/day by 24 hours/day * 60 minutes/hour * 60 seconds/minute * 100 cm/m:
87,400 cm^2/day * 24 hr/day * 60 min/hr * 60 sec/min * 100 cm/m = 2,034,240,000,000 cm.
So, the converted result is approximately 2,034,240,000,000 cm.