Calculate Young's Modulus of L<sub>1</sub> = 510 mm, L<sub>2</sub> = 509.5 mm, A = 774.1600000000001 mm² and F = 480 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 510 mm, L2 = 509.5 mm, A = 774.1600000000001 mm² and F = 480 N i.e. -632427405.187487 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 510 mm, L2 = 509.5 mm, A = 774.1600000000001 mm² and F = 480 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) = 510 mm
Final Length (L2) = 509.5 mm
Change in Length (ΔL) = ?
Area (A) = 774.1600000000001 mm²
Force (F) = 480 N
Calculating Stress
=> Convert the Area (A) 774.1600000000001 mm² to "square meter (m²)"
F = 774.1600000000001 ÷ 1000000
F = 0.000774 m²
Substitute the value into the formula
Stress (σ) = 620026.867831 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 510 ÷ 1000
r = 0.51 m
=> convert the L1 value to "meters (m)" unit
r = 509.5 ÷ 1000
r = 0.5095 m
ΔL = 0.5095 - 0.51
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00098
As we got all the values we can calculate Young's Modulus
E = -632427405.187487 Pa
∴ Youngs's Modulus (E) = -632427405.187487 Pa
Young's Modulus of L1 = 510 mm, L2 = 509.5 mm, A = 774.1600000000001 mm² and F = 480 N results in different Units
| Values | Units |
|---|---|
| -632427405.187487 | pascals (Pa) |
| -91725.816265 | pounds per square inch (psi) |
| -6324274.051875 | hectopascals (hPa) |
| -632427.405187 | kilopascals (kPa) |
| -632.427405 | megapascal (MPa) |
| -13208246.357341 | 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 511 mm, final length 510.5 mm, area 775.1600000000001 mm² and force 481 N
- Young's modulus of initial length 512 mm, final length 511.5 mm, area 776.1600000000001 mm² and force 482 N
- Young's modulus of initial length 513 mm, final length 512.5 mm, area 777.1600000000001 mm² and force 483 N
- Young's modulus of initial length 514 mm, final length 513.5 mm, area 778.1600000000001 mm² and force 484 N
- Young's modulus of initial length 515 mm, final length 514.5 mm, area 779.1600000000001 mm² and force 485 N