Calculate Young's Modulus of L<sub>1</sub> = 410 mm, L<sub>2</sub> = 409.5 mm, A = 674.1600000000001 mm² and F = 380 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 410 mm, L2 = 409.5 mm, A = 674.1600000000001 mm² and F = 380 N i.e. -462204817.847395 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 410 mm, L2 = 409.5 mm, A = 674.1600000000001 mm² and F = 380 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) = 410 mm
Final Length (L2) = 409.5 mm
Change in Length (ΔL) = ?
Area (A) = 674.1600000000001 mm²
Force (F) = 380 N
Calculating Stress
=> Convert the Area (A) 674.1600000000001 mm² to "square meter (m²)"
F = 674.1600000000001 ÷ 1000000
F = 0.000674 m²
Substitute the value into the formula
Stress (σ) = 563664.412009 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 410 ÷ 1000
r = 0.41 m
=> convert the L1 value to "meters (m)" unit
r = 409.5 ÷ 1000
r = 0.4095 m
ΔL = 0.4095 - 0.41
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00122
As we got all the values we can calculate Young's Modulus
E = -462204817.847395 Pa
∴ Youngs's Modulus (E) = -462204817.847395 Pa
Young's Modulus of L1 = 410 mm, L2 = 409.5 mm, A = 674.1600000000001 mm² and F = 380 N results in different Units
| Values | Units |
|---|---|
| -462204817.847395 | pascals (Pa) |
| -67037.12371 | pounds per square inch (psi) |
| -4622048.178474 | hectopascals (hPa) |
| -462204.817847 | kilopascals (kPa) |
| -462.204818 | megapascal (MPa) |
| -9653147.620743 | 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 411 mm, final length 410.5 mm, area 675.1600000000001 mm² and force 381 N
- Young's modulus of initial length 412 mm, final length 411.5 mm, area 676.1600000000001 mm² and force 382 N
- Young's modulus of initial length 413 mm, final length 412.5 mm, area 677.1600000000001 mm² and force 383 N
- Young's modulus of initial length 414 mm, final length 413.5 mm, area 678.1600000000001 mm² and force 384 N
- Young's modulus of initial length 415 mm, final length 414.5 mm, area 679.1600000000001 mm² and force 385 N