Calculate Young's Modulus of L<sub>1</sub> = 458 mm, L<sub>2</sub> = 457.5 mm, A = 722.1600000000001 mm² and F = 428 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 458 mm, L2 = 457.5 mm, A = 722.1600000000001 mm² and F = 428 N i.e. -542882463.719951 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 458 mm, L2 = 457.5 mm, A = 722.1600000000001 mm² and F = 428 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) = 458 mm
Final Length (L2) = 457.5 mm
Change in Length (ΔL) = ?
Area (A) = 722.1600000000001 mm²
Force (F) = 428 N
Calculating Stress
=> Convert the Area (A) 722.1600000000001 mm² to "square meter (m²)"
F = 722.1600000000001 ÷ 1000000
F = 0.000722 m²
Substitute the value into the formula
Stress (σ) = 592666.445109 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 458 ÷ 1000
r = 0.458 m
=> convert the L1 value to "meters (m)" unit
r = 457.5 ÷ 1000
r = 0.4575 m
ΔL = 0.4575 - 0.458
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001092
As we got all the values we can calculate Young's Modulus
E = -542882463.719951 Pa
∴ Youngs's Modulus (E) = -542882463.719951 Pa
Young's Modulus of L1 = 458 mm, L2 = 457.5 mm, A = 722.1600000000001 mm² and F = 428 N results in different Units
| Values | Units |
|---|---|
| -542882463.719951 | pascals (Pa) |
| -78738.423908 | pounds per square inch (psi) |
| -5428824.6372 | hectopascals (hPa) |
| -542882.46372 | kilopascals (kPa) |
| -542.882464 | megapascal (MPa) |
| -11338100.254791 | 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 459 mm, final length 458.5 mm, area 723.1600000000001 mm² and force 429 N
- Young's modulus of initial length 460 mm, final length 459.5 mm, area 724.1600000000001 mm² and force 430 N
- Young's modulus of initial length 461 mm, final length 460.5 mm, area 725.1600000000001 mm² and force 431 N
- Young's modulus of initial length 462 mm, final length 461.5 mm, area 726.1600000000001 mm² and force 432 N
- Young's modulus of initial length 463 mm, final length 462.5 mm, area 727.1600000000001 mm² and force 433 N