Calculate Young's Modulus of L<sub>1</sub> = 571 mm, L<sub>2</sub> = 570.5 mm, A = 835.1600000000001 mm² and F = 541 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 571 mm, L2 = 570.5 mm, A = 835.1600000000001 mm² and F = 541 N i.e. -739764835.480708 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 571 mm, L2 = 570.5 mm, A = 835.1600000000001 mm² and F = 541 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) = 571 mm
Final Length (L2) = 570.5 mm
Change in Length (ΔL) = ?
Area (A) = 835.1600000000001 mm²
Force (F) = 541 N
Calculating Stress
=> Convert the Area (A) 835.1600000000001 mm² to "square meter (m²)"
F = 835.1600000000001 ÷ 1000000
F = 0.000835 m²
Substitute the value into the formula
Stress (σ) = 647780.066095 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 571 ÷ 1000
r = 0.571 m
=> convert the L1 value to "meters (m)" unit
r = 570.5 ÷ 1000
r = 0.5705 m
ΔL = 0.5705 - 0.571
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000876
As we got all the values we can calculate Young's Modulus
E = -739764835.480708 Pa
∴ Youngs's Modulus (E) = -739764835.480708 Pa
Young's Modulus of L1 = 571 mm, L2 = 570.5 mm, A = 835.1600000000001 mm² and F = 541 N results in different Units
| Values | Units |
|---|---|
| -739764835.480708 | pascals (Pa) |
| -107293.790279 | pounds per square inch (psi) |
| -7397648.354807 | hectopascals (hPa) |
| -739764.835481 | kilopascals (kPa) |
| -739.764835 | megapascal (MPa) |
| -15449988.589015 | 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 572 mm, final length 571.5 mm, area 836.1600000000001 mm² and force 542 N
- Young's modulus of initial length 573 mm, final length 572.5 mm, area 837.1600000000001 mm² and force 543 N
- Young's modulus of initial length 574 mm, final length 573.5 mm, area 838.1600000000001 mm² and force 544 N
- Young's modulus of initial length 575 mm, final length 574.5 mm, area 839.1600000000001 mm² and force 545 N
- Young's modulus of initial length 576 mm, final length 575.5 mm, area 840.1600000000001 mm² and force 546 N