Calculate Young's Modulus of L<sub>1</sub> = 470 mm, L<sub>2</sub> = 469.5 mm, A = 734.1600000000001 mm² and F = 440 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 470 mm, L2 = 469.5 mm, A = 734.1600000000001 mm² and F = 440 N i.e. -563364934.074316 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 470 mm, L2 = 469.5 mm, A = 734.1600000000001 mm² and F = 440 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) = 470 mm
Final Length (L2) = 469.5 mm
Change in Length (ΔL) = ?
Area (A) = 734.1600000000001 mm²
Force (F) = 440 N
Calculating Stress
=> Convert the Area (A) 734.1600000000001 mm² to "square meter (m²)"
F = 734.1600000000001 ÷ 1000000
F = 0.000734 m²
Substitute the value into the formula
Stress (σ) = 599324.397951 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 470 ÷ 1000
r = 0.47 m
=> convert the L1 value to "meters (m)" unit
r = 469.5 ÷ 1000
r = 0.4695 m
ΔL = 0.4695 - 0.47
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001064
As we got all the values we can calculate Young's Modulus
E = -563364934.074316 Pa
∴ Youngs's Modulus (E) = -563364934.074316 Pa
Young's Modulus of L1 = 470 mm, L2 = 469.5 mm, A = 734.1600000000001 mm² and F = 440 N results in different Units
| Values | Units |
|---|---|
| -563364934.074316 | pascals (Pa) |
| -81709.154299 | pounds per square inch (psi) |
| -5633649.340743 | hectopascals (hPa) |
| -563364.934074 | kilopascals (kPa) |
| -563.364934 | megapascal (MPa) |
| -11765876.648142 | 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 471 mm, final length 470.5 mm, area 735.1600000000001 mm² and force 441 N
- Young's modulus of initial length 472 mm, final length 471.5 mm, area 736.1600000000001 mm² and force 442 N
- Young's modulus of initial length 473 mm, final length 472.5 mm, area 737.1600000000001 mm² and force 443 N
- Young's modulus of initial length 474 mm, final length 473.5 mm, area 738.1600000000001 mm² and force 444 N
- Young's modulus of initial length 475 mm, final length 474.5 mm, area 739.1600000000001 mm² and force 445 N