Calculate Young's Modulus of L<sub>1</sub> = 642 mm, L<sub>2</sub> = 641.5 mm, A = 906.1600000000001 mm² and F = 612 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 642 mm, L2 = 641.5 mm, A = 906.1600000000001 mm² and F = 612 N i.e. -867184603.160493 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 642 mm, L2 = 641.5 mm, A = 906.1600000000001 mm² and F = 612 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) = 642 mm
Final Length (L2) = 641.5 mm
Change in Length (ΔL) = ?
Area (A) = 906.1600000000001 mm²
Force (F) = 612 N
Calculating Stress
=> Convert the Area (A) 906.1600000000001 mm² to "square meter (m²)"
F = 906.1600000000001 ÷ 1000000
F = 0.000906 m²
Substitute the value into the formula
Stress (σ) = 675377.416792 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 642 ÷ 1000
r = 0.642 m
=> convert the L1 value to "meters (m)" unit
r = 641.5 ÷ 1000
r = 0.6415 m
ΔL = 0.6415 - 0.642
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000779
As we got all the values we can calculate Young's Modulus
E = -867184603.160493 Pa
∴ Youngs's Modulus (E) = -867184603.160493 Pa
Young's Modulus of L1 = 642 mm, L2 = 641.5 mm, A = 906.1600000000001 mm² and F = 612 N results in different Units
| Values | Units |
|---|---|
| -867184603.160493 | pascals (Pa) |
| -125774.460318 | pounds per square inch (psi) |
| -8671846.031605 | hectopascals (hPa) |
| -867184.60316 | kilopascals (kPa) |
| -867.184603 | megapascal (MPa) |
| -18111150.437007 | 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 643 mm, final length 642.5 mm, area 907.1600000000001 mm² and force 613 N
- Young's modulus of initial length 644 mm, final length 643.5 mm, area 908.1600000000001 mm² and force 614 N
- Young's modulus of initial length 645 mm, final length 644.5 mm, area 909.1600000000001 mm² and force 615 N
- Young's modulus of initial length 646 mm, final length 645.5 mm, area 910.1600000000001 mm² and force 616 N
- Young's modulus of initial length 647 mm, final length 646.5 mm, area 911.1600000000001 mm² and force 617 N