Calculate Young's Modulus of L<sub>1</sub> = 527 mm, L<sub>2</sub> = 526.5 mm, A = 791.1600000000001 mm² and F = 497 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 527 mm, L2 = 526.5 mm, A = 791.1600000000001 mm² and F = 497 N i.e. -662113858.132288 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 527 mm, L2 = 526.5 mm, A = 791.1600000000001 mm² and F = 497 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) = 527 mm
Final Length (L2) = 526.5 mm
Change in Length (ΔL) = ?
Area (A) = 791.1600000000001 mm²
Force (F) = 497 N
Calculating Stress
=> Convert the Area (A) 791.1600000000001 mm² to "square meter (m²)"
F = 791.1600000000001 ÷ 1000000
F = 0.000791 m²
Substitute the value into the formula
Stress (σ) = 628191.516255 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 527 ÷ 1000
r = 0.527 m
=> convert the L1 value to "meters (m)" unit
r = 526.5 ÷ 1000
r = 0.5265 m
ΔL = 0.5265 - 0.527
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000949
As we got all the values we can calculate Young's Modulus
E = -662113858.132288 Pa
∴ Youngs's Modulus (E) = -662113858.132288 Pa
Young's Modulus of L1 = 527 mm, L2 = 526.5 mm, A = 791.1600000000001 mm² and F = 497 N results in different Units
| Values | Units |
|---|---|
| -662113858.132288 | pascals (Pa) |
| -96031.471122 | pounds per square inch (psi) |
| -6621138.581323 | hectopascals (hPa) |
| -662113.858132 | kilopascals (kPa) |
| -662.113858 | megapascal (MPa) |
| -13828247.927093 | 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 528 mm, final length 527.5 mm, area 792.1600000000001 mm² and force 498 N
- Young's modulus of initial length 529 mm, final length 528.5 mm, area 793.1600000000001 mm² and force 499 N
- Young's modulus of initial length 530 mm, final length 529.5 mm, area 794.1600000000001 mm² and force 500 N
- Young's modulus of initial length 531 mm, final length 530.5 mm, area 795.1600000000001 mm² and force 501 N
- Young's modulus of initial length 532 mm, final length 531.5 mm, area 796.1600000000001 mm² and force 502 N