Calculate Young's Modulus of L<sub>1</sub> = 518 mm, L<sub>2</sub> = 517.5 mm, A = 782.1600000000001 mm² and F = 488 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 518 mm, L2 = 517.5 mm, A = 782.1600000000001 mm² and F = 488 N i.e. -646374143.397698 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 518 mm, L2 = 517.5 mm, A = 782.1600000000001 mm² and F = 488 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) = 518 mm
Final Length (L2) = 517.5 mm
Change in Length (ΔL) = ?
Area (A) = 782.1600000000001 mm²
Force (F) = 488 N
Calculating Stress
=> Convert the Area (A) 782.1600000000001 mm² to "square meter (m²)"
F = 782.1600000000001 ÷ 1000000
F = 0.000782 m²
Substitute the value into the formula
Stress (σ) = 623913.265828 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 518 ÷ 1000
r = 0.518 m
=> convert the L1 value to "meters (m)" unit
r = 517.5 ÷ 1000
r = 0.5175 m
ΔL = 0.5175 - 0.518
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000965
As we got all the values we can calculate Young's Modulus
E = -646374143.397698 Pa
∴ Youngs's Modulus (E) = -646374143.397698 Pa
Young's Modulus of L1 = 518 mm, L2 = 517.5 mm, A = 782.1600000000001 mm² and F = 488 N results in different Units
| Values | Units |
|---|---|
| -646374143.397698 | pascals (Pa) |
| -93748.619098 | pounds per square inch (psi) |
| -6463741.433977 | hectopascals (hPa) |
| -646374.143398 | kilopascals (kPa) |
| -646.374143 | megapascal (MPa) |
| -13499523.984861 | 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 519 mm, final length 518.5 mm, area 783.1600000000001 mm² and force 489 N
- Young's modulus of initial length 520 mm, final length 519.5 mm, area 784.1600000000001 mm² and force 490 N
- Young's modulus of initial length 521 mm, final length 520.5 mm, area 785.1600000000001 mm² and force 491 N
- Young's modulus of initial length 522 mm, final length 521.5 mm, area 786.1600000000001 mm² and force 492 N
- Young's modulus of initial length 523 mm, final length 522.5 mm, area 787.1600000000001 mm² and force 493 N