Calculate Young's Modulus of L<sub>1</sub> = 443 mm, L<sub>2</sub> = 442.5 mm, A = 707.1600000000001 mm² and F = 413 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 443 mm, L2 = 442.5 mm, A = 707.1600000000001 mm² and F = 413 N i.e. -517447253.803948 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 443 mm, L2 = 442.5 mm, A = 707.1600000000001 mm² and F = 413 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) = 443 mm
Final Length (L2) = 442.5 mm
Change in Length (ΔL) = ?
Area (A) = 707.1600000000001 mm²
Force (F) = 413 N
Calculating Stress
=> Convert the Area (A) 707.1600000000001 mm² to "square meter (m²)"
F = 707.1600000000001 ÷ 1000000
F = 0.000707 m²
Substitute the value into the formula
Stress (σ) = 584026.245828 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 443 ÷ 1000
r = 0.443 m
=> convert the L1 value to "meters (m)" unit
r = 442.5 ÷ 1000
r = 0.4425 m
ΔL = 0.4425 - 0.443
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001129
As we got all the values we can calculate Young's Modulus
E = -517447253.803948 Pa
∴ Youngs's Modulus (E) = -517447253.803948 Pa
Young's Modulus of L1 = 443 mm, L2 = 442.5 mm, A = 707.1600000000001 mm² and F = 413 N results in different Units
| Values | Units |
|---|---|
| -517447253.803948 | pascals (Pa) |
| -75049.359563 | pounds per square inch (psi) |
| -5174472.538039 | hectopascals (hPa) |
| -517447.253804 | kilopascals (kPa) |
| -517.447254 | megapascal (MPa) |
| -10806885.895695 | 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 444 mm, final length 443.5 mm, area 708.1600000000001 mm² and force 414 N
- Young's modulus of initial length 445 mm, final length 444.5 mm, area 709.1600000000001 mm² and force 415 N
- Young's modulus of initial length 446 mm, final length 445.5 mm, area 710.1600000000001 mm² and force 416 N
- Young's modulus of initial length 447 mm, final length 446.5 mm, area 711.1600000000001 mm² and force 417 N
- Young's modulus of initial length 448 mm, final length 447.5 mm, area 712.1600000000001 mm² and force 418 N