Calculate Young's Modulus of L<sub>1</sub> = 444 mm, L<sub>2</sub> = 443.5 mm, A = 708.1600000000001 mm² and F = 414 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 444 mm, L2 = 443.5 mm, A = 708.1600000000001 mm² and F = 414 N i.e. -519136918.210573 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 444 mm, L2 = 443.5 mm, A = 708.1600000000001 mm² and F = 414 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) = 444 mm
Final Length (L2) = 443.5 mm
Change in Length (ΔL) = ?
Area (A) = 708.1600000000001 mm²
Force (F) = 414 N
Calculating Stress
=> Convert the Area (A) 708.1600000000001 mm² to "square meter (m²)"
F = 708.1600000000001 ÷ 1000000
F = 0.000708 m²
Substitute the value into the formula
Stress (σ) = 584613.646634 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 444 ÷ 1000
r = 0.444 m
=> convert the L1 value to "meters (m)" unit
r = 443.5 ÷ 1000
r = 0.4435 m
ΔL = 0.4435 - 0.444
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001126
As we got all the values we can calculate Young's Modulus
E = -519136918.210573 Pa
∴ Youngs's Modulus (E) = -519136918.210573 Pa
Young's Modulus of L1 = 444 mm, L2 = 443.5 mm, A = 708.1600000000001 mm² and F = 414 N results in different Units
| Values | Units |
|---|---|
| -519136918.210573 | pascals (Pa) |
| -75294.424602 | pounds per square inch (psi) |
| -5191369.182106 | hectopascals (hPa) |
| -519136.918211 | kilopascals (kPa) |
| -519.136918 | megapascal (MPa) |
| -10842174.536828 | 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 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
- Young's modulus of initial length 449 mm, final length 448.5 mm, area 713.1600000000001 mm² and force 419 N