Calculate Young's Modulus of L<sub>1</sub> = 494 mm, L<sub>2</sub> = 493.5 mm, A = 758.1600000000001 mm² and F = 464 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 494 mm, L2 = 493.5 mm, A = 758.1600000000001 mm² and F = 464 N i.e. -604663923.182441 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 494 mm, L2 = 493.5 mm, A = 758.1600000000001 mm² and F = 464 N
Young's Modulus states that a measure of elasticity is equal to the ration of the stress acting on a substance to the strain produced. Young's Modulus is also known as modulus of elasticity.
The formula to calculate Young's Modulus is:
Where,
E = Young's modulus
σ = Stress
ε = Strain
Step by Step Solution to find Young's Modulus :
Given that,
Stress (σ) = ?
Strain (ε) = ?
Initial Length (L1) = 494 mm
Final Length (L2) = 493.5 mm
Change in Length (ΔL) = ?
Area (A) = 758.1600000000001 mm²
Force (F) = 464 N
Calculating Stress
=> Convert the Area (A) 758.1600000000001 mm² to "square meter (m²)"
F = 758.1600000000001 ÷ 1000000
F = 0.000758 m²
Substitute the value into the formula
Stress (σ) = 612008.019415 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 494 ÷ 1000
r = 0.494 m
=> convert the L1 value to "meters (m)" unit
r = 493.5 ÷ 1000
r = 0.4935 m
ΔL = 0.4935 - 0.494
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001012
As we got all the values we can calculate Young's Modulus
E = -604663923.182441 Pa
∴ Youngs's Modulus (E) = -604663923.182441 Pa
Young's Modulus of L1 = 494 mm, L2 = 493.5 mm, A = 758.1600000000001 mm² and F = 464 N results in different Units
| Values | Units |
|---|---|
| -604663923.182441 | pascals (Pa) |
| -87699.064691 | pounds per square inch (psi) |
| -6046639.231824 | hectopascals (hPa) |
| -604663.923182 | kilopascals (kPa) |
| -604.663923 | megapascal (MPa) |
| -12628406.035665 | pounds per square foot (lbs/ft²) |
Similar Young's Modulus Calculation
Here are some examples of Young's Modulus Calculation
- Young's modulus of initial length 495 mm, final length 494.5 mm, area 759.1600000000001 mm² and force 465 N
- Young's modulus of initial length 496 mm, final length 495.5 mm, area 760.1600000000001 mm² and force 466 N
- Young's modulus of initial length 497 mm, final length 496.5 mm, area 761.1600000000001 mm² and force 467 N
- Young's modulus of initial length 498 mm, final length 497.5 mm, area 762.1600000000001 mm² and force 468 N
- Young's modulus of initial length 499 mm, final length 498.5 mm, area 763.1600000000001 mm² and force 469 N