Enter the total weight (N), the density (kg/m^3), and the cross-sectional area (m^2) into the Weight to Length Calculator. The calculator will evaluate the Weight to Length. 

Weight to Length Formula

The following formula is used to calculate the Weight to Length. 

L = W/9.81/D/A

  • 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) 

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

  1. First, determine the total weight (N).
    • The total weight (N) is calculated to be : 500.
  2. Next, determine the density (kg/m^3). 
    • The density (kg/m^3) is measured to be: 3.
  3. Next, determine the cross-sectional area (m^2). 
    • The cross-sectional area (m^2) is found to be: 5.
  4. 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)