Calculate Young's Modulus of L<sub>1</sub> = 381 mm, L<sub>2</sub> = 380.5 mm, A = 645.1600000000001 mm² and F = 351 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 381 mm, L2 = 380.5 mm, A = 645.1600000000001 mm² and F = 351 N i.e. -414566929.133858 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 381 mm, L2 = 380.5 mm, A = 645.1600000000001 mm² and F = 351 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) = 381 mm
Final Length (L2) = 380.5 mm
Change in Length (ΔL) = ?
Area (A) = 645.1600000000001 mm²
Force (F) = 351 N
Calculating Stress
=> Convert the Area (A) 645.1600000000001 mm² to "square meter (m²)"
F = 645.1600000000001 ÷ 1000000
F = 0.000645 m²
Substitute the value into the formula
Stress (σ) = 544051.088102 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 381 ÷ 1000
r = 0.381 m
=> convert the L1 value to "meters (m)" unit
r = 380.5 ÷ 1000
r = 0.3805 m
ΔL = 0.3805 - 0.381
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001312
As we got all the values we can calculate Young's Modulus
E = -414566929.133858 Pa
∴ Youngs's Modulus (E) = -414566929.133858 Pa
Young's Modulus of L1 = 381 mm, L2 = 380.5 mm, A = 645.1600000000001 mm² and F = 351 N results in different Units
| Values | Units |
|---|---|
| -414566929.133858 | pascals (Pa) |
| -60127.833898 | pounds per square inch (psi) |
| -4145669.291339 | hectopascals (hPa) |
| -414566.929134 | kilopascals (kPa) |
| -414.566929 | megapascal (MPa) |
| -8658230.314961 | 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 382 mm, final length 381.5 mm, area 646.1600000000001 mm² and force 352 N
- Young's modulus of initial length 383 mm, final length 382.5 mm, area 647.1600000000001 mm² and force 353 N
- Young's modulus of initial length 384 mm, final length 383.5 mm, area 648.1600000000001 mm² and force 354 N
- Young's modulus of initial length 385 mm, final length 384.5 mm, area 649.1600000000001 mm² and force 355 N
- Young's modulus of initial length 386 mm, final length 385.5 mm, area 650.1600000000001 mm² and force 356 N