Calculate Young's Modulus of L<sub>1</sub> = 640 mm, L<sub>2</sub> = 639.5 mm, A = 904.1600000000001 mm² and F = 610 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 640 mm, L2 = 639.5 mm, A = 904.1600000000001 mm² and F = 610 N i.e. -863563970.978491 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 640 mm, L2 = 639.5 mm, A = 904.1600000000001 mm² and F = 610 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) = 640 mm
Final Length (L2) = 639.5 mm
Change in Length (ΔL) = ?
Area (A) = 904.1600000000001 mm²
Force (F) = 610 N
Calculating Stress
=> Convert the Area (A) 904.1600000000001 mm² to "square meter (m²)"
F = 904.1600000000001 ÷ 1000000
F = 0.000904 m²
Substitute the value into the formula
Stress (σ) = 674659.352327 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 640 ÷ 1000
r = 0.64 m
=> convert the L1 value to "meters (m)" unit
r = 639.5 ÷ 1000
r = 0.6395 m
ΔL = 0.6395 - 0.64
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000781
As we got all the values we can calculate Young's Modulus
E = -863563970.978491 Pa
∴ Youngs's Modulus (E) = -863563970.978491 Pa
Young's Modulus of L1 = 640 mm, L2 = 639.5 mm, A = 904.1600000000001 mm² and F = 610 N results in different Units
| Values | Units |
|---|---|
| -863563970.978491 | pascals (Pa) |
| -125249.332154 | pounds per square inch (psi) |
| -8635639.709785 | hectopascals (hPa) |
| -863563.970978 | kilopascals (kPa) |
| -863.563971 | megapascal (MPa) |
| -18035533.533886 | 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 641 mm, final length 640.5 mm, area 905.1600000000001 mm² and force 611 N
- Young's modulus of initial length 642 mm, final length 641.5 mm, area 906.1600000000001 mm² and force 612 N
- Young's modulus of initial length 643 mm, final length 642.5 mm, area 907.1600000000001 mm² and force 613 N
- Young's modulus of initial length 644 mm, final length 643.5 mm, area 908.1600000000001 mm² and force 614 N
- Young's modulus of initial length 645 mm, final length 644.5 mm, area 909.1600000000001 mm² and force 615 N