Calculate Young's Modulus of L<sub>1</sub> = 490 mm, L<sub>2</sub> = 489.5 mm, A = 754.1600000000001 mm² and F = 460 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 490 mm, L2 = 489.5 mm, A = 754.1600000000001 mm² and F = 460 N i.e. -597751140.341571 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 490 mm, L2 = 489.5 mm, A = 754.1600000000001 mm² and F = 460 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) = 490 mm
Final Length (L2) = 489.5 mm
Change in Length (ΔL) = ?
Area (A) = 754.1600000000001 mm²
Force (F) = 460 N
Calculating Stress
=> Convert the Area (A) 754.1600000000001 mm² to "square meter (m²)"
F = 754.1600000000001 ÷ 1000000
F = 0.000754 m²
Substitute the value into the formula
Stress (σ) = 609950.143206 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 490 ÷ 1000
r = 0.49 m
=> convert the L1 value to "meters (m)" unit
r = 489.5 ÷ 1000
r = 0.4895 m
ΔL = 0.4895 - 0.49
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00102
As we got all the values we can calculate Young's Modulus
E = -597751140.341571 Pa
∴ Youngs's Modulus (E) = -597751140.341571 Pa
Young's Modulus of L1 = 490 mm, L2 = 489.5 mm, A = 754.1600000000001 mm² and F = 460 N results in different Units
| Values | Units |
|---|---|
| -597751140.341571 | pascals (Pa) |
| -86696.450568 | pounds per square inch (psi) |
| -5977511.403416 | hectopascals (hPa) |
| -597751.140342 | kilopascals (kPa) |
| -597.75114 | megapascal (MPa) |
| -12484032.566034 | 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 491 mm, final length 490.5 mm, area 755.1600000000001 mm² and force 461 N
- Young's modulus of initial length 492 mm, final length 491.5 mm, area 756.1600000000001 mm² and force 462 N
- Young's modulus of initial length 493 mm, final length 492.5 mm, area 757.1600000000001 mm² and force 463 N
- Young's modulus of initial length 494 mm, final length 493.5 mm, area 758.1600000000001 mm² and force 464 N
- Young's modulus of initial length 495 mm, final length 494.5 mm, area 759.1600000000001 mm² and force 465 N