Young’s Modulus Calculator
🧱 Forces & Newton’s laws. Use the Young’s modulus formula to find young’s modulus, force, original length, cross-section area, extension: pick the value you want, type the others, and the answer updates as you go.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Young’s modulus | Pa |
| Force | N |
| Original length | m |
| Cross-section area | m² |
| Extension | m |
Worked example
Find the young’s modulus when Force = 1000 N, Original length = 2 m, Cross-section area = 1 × 10⁻⁶ m², Extension = 0.01 m.
Using E = (F L0)/(A Δ L): Young’s modulus = 2 × 10¹¹ Pa.
Frequently asked questions
What is the formula for Young’s modulus?
E = (F L0)/(A Δ L).
What do the letters stand for, and what units are used?
Young’s modulus in Pa, Force in N, Original length in m, Cross-section area in m², Extension in m.
How do you calculate young’s modulus?
Put the values into E = (F L0)/(A Δ L). For example, with Force = 1000 N, Original length = 2 m, Cross-section area = 1 × 10⁻⁶ m², Extension = 0.01 m, young’s modulus = 2 × 10¹¹ Pa.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (young’s modulus, force, original length, cross-section area, extension) and fill in the others: it rearranges the formula for you.
