Calculate Young's Modulus of L<sub>1</sub> = 388 mm, L<sub>2</sub> = 387.5 mm, A = 652.1600000000001 mm² and F = 358 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 388 mm, L2 = 387.5 mm, A = 652.1600000000001 mm² and F = 358 N i.e. -425981354.268891 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 388 mm, L2 = 387.5 mm, A = 652.1600000000001 mm² and F = 358 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) = 388 mm
Final Length (L2) = 387.5 mm
Change in Length (ΔL) = ?
Area (A) = 652.1600000000001 mm²
Force (F) = 358 N
Calculating Stress
=> Convert the Area (A) 652.1600000000001 mm² to "square meter (m²)"
F = 652.1600000000001 ÷ 1000000
F = 0.000652 m²
Substitute the value into the formula
Stress (σ) = 548945.044161 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 388 ÷ 1000
r = 0.388 m
=> convert the L1 value to "meters (m)" unit
r = 387.5 ÷ 1000
r = 0.3875 m
ΔL = 0.3875 - 0.388
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001289
As we got all the values we can calculate Young's Modulus
E = -425981354.268891 Pa
∴ Youngs's Modulus (E) = -425981354.268891 Pa
Young's Modulus of L1 = 388 mm, L2 = 387.5 mm, A = 652.1600000000001 mm² and F = 358 N results in different Units
| Values | Units |
|---|---|
| -425981354.268891 | pascals (Pa) |
| -61783.355866 | pounds per square inch (psi) |
| -4259813.542689 | hectopascals (hPa) |
| -425981.354269 | kilopascals (kPa) |
| -425.981354 | megapascal (MPa) |
| -8896620.583906 | 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 389 mm, final length 388.5 mm, area 653.1600000000001 mm² and force 359 N
- Young's modulus of initial length 390 mm, final length 389.5 mm, area 654.1600000000001 mm² and force 360 N
- Young's modulus of initial length 391 mm, final length 390.5 mm, area 655.1600000000001 mm² and force 361 N
- Young's modulus of initial length 392 mm, final length 391.5 mm, area 656.1600000000001 mm² and force 362 N
- Young's modulus of initial length 393 mm, final length 392.5 mm, area 657.1600000000001 mm² and force 363 N