Calculate Young's Modulus of L<sub>1</sub> = 363 mm, L<sub>2</sub> = 362.5 mm, A = 627.1600000000001 mm² and F = 333 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 363 mm, L2 = 362.5 mm, A = 627.1600000000001 mm² and F = 333 N i.e. -385480579.118566 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 363 mm, L2 = 362.5 mm, A = 627.1600000000001 mm² and F = 333 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) = 363 mm
Final Length (L2) = 362.5 mm
Change in Length (ΔL) = ?
Area (A) = 627.1600000000001 mm²
Force (F) = 333 N
Calculating Stress
=> Convert the Area (A) 627.1600000000001 mm² to "square meter (m²)"
F = 627.1600000000001 ÷ 1000000
F = 0.000627 m²
Substitute the value into the formula
Stress (σ) = 530964.985012 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 363 ÷ 1000
r = 0.363 m
=> convert the L1 value to "meters (m)" unit
r = 362.5 ÷ 1000
r = 0.3625 m
ΔL = 0.3625 - 0.363
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001377
As we got all the values we can calculate Young's Modulus
E = -385480579.118566 Pa
∴ Youngs's Modulus (E) = -385480579.118566 Pa
Young's Modulus of L1 = 363 mm, L2 = 362.5 mm, A = 627.1600000000001 mm² and F = 333 N results in different Units
| Values | Units |
|---|---|
| -385480579.118566 | pascals (Pa) |
| -55909.21659 | pounds per square inch (psi) |
| -3854805.791186 | hectopascals (hPa) |
| -385480.579119 | kilopascals (kPa) |
| -385.480579 | megapascal (MPa) |
| -8050761.894891 | 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 364 mm, final length 363.5 mm, area 628.1600000000001 mm² and force 334 N
- Young's modulus of initial length 365 mm, final length 364.5 mm, area 629.1600000000001 mm² and force 335 N
- Young's modulus of initial length 366 mm, final length 365.5 mm, area 630.1600000000001 mm² and force 336 N
- Young's modulus of initial length 367 mm, final length 366.5 mm, area 631.1600000000001 mm² and force 337 N
- Young's modulus of initial length 368 mm, final length 367.5 mm, area 632.1600000000001 mm² and force 338 N