Calculate Young's Modulus of L<sub>1</sub> = 497 mm, L<sub>2</sub> = 496.5 mm, A = 761.1600000000001 mm² and F = 467 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 497 mm, L2 = 496.5 mm, A = 761.1600000000001 mm² and F = 467 N i.e. -609856009.24904 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 497 mm, L2 = 496.5 mm, A = 761.1600000000001 mm² and F = 467 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) = 497 mm
Final Length (L2) = 496.5 mm
Change in Length (ΔL) = ?
Area (A) = 761.1600000000001 mm²
Force (F) = 467 N
Calculating Stress
=> Convert the Area (A) 761.1600000000001 mm² to "square meter (m²)"
F = 761.1600000000001 ÷ 1000000
F = 0.000761 m²
Substitute the value into the formula
Stress (σ) = 613537.232645 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 497 ÷ 1000
r = 0.497 m
=> convert the L1 value to "meters (m)" unit
r = 496.5 ÷ 1000
r = 0.4965 m
ΔL = 0.4965 - 0.497
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001006
As we got all the values we can calculate Young's Modulus
E = -609856009.24904 Pa
∴ Youngs's Modulus (E) = -609856009.24904 Pa
Young's Modulus of L1 = 497 mm, L2 = 496.5 mm, A = 761.1600000000001 mm² and F = 467 N results in different Units
| Values | Units |
|---|---|
| -609856009.24904 | pascals (Pa) |
| -88452.112913 | pounds per square inch (psi) |
| -6098560.09249 | hectopascals (hPa) |
| -609856.009249 | kilopascals (kPa) |
| -609.856009 | megapascal (MPa) |
| -12736842.753166 | 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 498 mm, final length 497.5 mm, area 762.1600000000001 mm² and force 468 N
- Young's modulus of initial length 499 mm, final length 498.5 mm, area 763.1600000000001 mm² and force 469 N
- Young's modulus of initial length 500 mm, final length 499.5 mm, area 764.1600000000001 mm² and force 470 N
- Young's modulus of initial length 501 mm, final length 500.5 mm, area 765.1600000000001 mm² and force 471 N
- Young's modulus of initial length 502 mm, final length 501.5 mm, area 766.1600000000001 mm² and force 472 N