Calculate Young's Modulus of L<sub>1</sub> = 520 mm, L<sub>2</sub> = 519.5 mm, A = 784.1600000000001 mm² and F = 490 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 520 mm, L2 = 519.5 mm, A = 784.1600000000001 mm² and F = 490 N i.e. -649867374.005232 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 520 mm, L2 = 519.5 mm, A = 784.1600000000001 mm² and F = 490 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) = 520 mm
Final Length (L2) = 519.5 mm
Change in Length (ΔL) = ?
Area (A) = 784.1600000000001 mm²
Force (F) = 490 N
Calculating Stress
=> Convert the Area (A) 784.1600000000001 mm² to "square meter (m²)"
F = 784.1600000000001 ÷ 1000000
F = 0.000784 m²
Substitute the value into the formula
Stress (σ) = 624872.475005 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 520 ÷ 1000
r = 0.52 m
=> convert the L1 value to "meters (m)" unit
r = 519.5 ÷ 1000
r = 0.5195 m
ΔL = 0.5195 - 0.52
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000962
As we got all the values we can calculate Young's Modulus
E = -649867374.005232 Pa
∴ Youngs's Modulus (E) = -649867374.005232 Pa
Young's Modulus of L1 = 520 mm, L2 = 519.5 mm, A = 784.1600000000001 mm² and F = 490 N results in different Units
| Values | Units |
|---|---|
| -649867374.005232 | pascals (Pa) |
| -94255.269231 | pounds per square inch (psi) |
| -6498673.740052 | hectopascals (hPa) |
| -649867.374005 | kilopascals (kPa) |
| -649.867374 | megapascal (MPa) |
| -13572480.106099 | 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 521 mm, final length 520.5 mm, area 785.1600000000001 mm² and force 491 N
- Young's modulus of initial length 522 mm, final length 521.5 mm, area 786.1600000000001 mm² and force 492 N
- Young's modulus of initial length 523 mm, final length 522.5 mm, area 787.1600000000001 mm² and force 493 N
- Young's modulus of initial length 524 mm, final length 523.5 mm, area 788.1600000000001 mm² and force 494 N
- Young's modulus of initial length 525 mm, final length 524.5 mm, area 789.1600000000001 mm² and force 495 N