Calculate material length from weight, weight from length, or weight per length for wire, round bar, pipe, tube, and flat stock using density and dimensions.
Weight to Length Formula
The following formula is used to calculate the Weight to Length.
- Where L is the Weight to Length (m)
- W is the total weight (N)
- D is the density (kg/m^3)
- A is the cross-sectional area (m^2)
To calculate the length from weight, divide the weight by 9.81, the density, and the cross-sectional area.
| Weight (N) | Length (m) | Length (ft) |
|---|---|---|
| 10 | 0.201 | 0.660 |
| 25 | 0.503 | 1.651 |
| 50 | 1.006 | 3.301 |
| 75 | 1.509 | 4.952 |
| 100 | 2.012 | 6.602 |
| 150 | 3.019 | 9.903 |
| 200 | 4.025 | 13.204 |
| 250 | 5.031 | 16.506 |
| 300 | 6.037 | 19.807 |
| 400 | 8.049 | 26.409 |
| 500 | 10.062 | 33.011 |
| 750 | 15.093 | 49.517 |
| 1000 | 20.124 | 66.022 |
| 1500 | 30.185 | 99.033 |
| 2000 | 40.247 | 132.045 |
| 2500 | 50.309 | 165.056 |
| 3000 | 60.371 | 198.067 |
| 4000 | 80.494 | 264.089 |
| 5000 | 100.618 | 330.112 |
| 10000 | 201.236 | 660.223 |
| * Rounded to 3 decimals. Assumptions: steel (ρ = 7850 kg/m³), cross-sectional area A = 1.000 in² = 0.00064516 m², gravity g = 9.81 m/s². Formula: L = W / (ρ·g·A). Under these assumptions: ρ·g·A ≈ 49.683 N/m, so 1 N ≈ 0.020124 m ≈ 0.066022 ft. | ||
How to Calculate Weight to Length?
The following two example problems outline the steps and information needed to calculate the Weight to Length.
Example Problem #1
- First, determine the total weight (N).
- The total weight (N) is calculated to be : 500.
- Next, determine the density (kg/m^3).
- The density (kg/m^3) is measured to be: 3.
- Next, determine the cross-sectional area (m^2).
- The cross-sectional area (m^2) is found to be: 5.
- Finally, calculate the Weight to Length using the formula above:
L = W/9.81/D/A
The values provided above are inserted into the equation below and computed.
L = 500/9.81/3/5 = 3.397 (m)
Example Problem #2
The variables required for this problem are provided below:
total weight (N) = 600
density (kg/m^3) = 4
cross-sectional area (m^2) = 8
Test your knowledge using the equation and check your answer with the calculator.
L = W/9.81/D/A = (m)
