Calculate Young's Modulus of L<sub>1</sub> = 418 mm, L<sub>2</sub> = 417.5 mm, A = 682.1600000000001 mm² and F = 388 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 418 mm, L2 = 417.5 mm, A = 682.1600000000001 mm² and F = 388 N i.e. -475501348.657206 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 418 mm, L2 = 417.5 mm, A = 682.1600000000001 mm² and F = 388 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) = 418 mm
Final Length (L2) = 417.5 mm
Change in Length (ΔL) = ?
Area (A) = 682.1600000000001 mm²
Force (F) = 388 N
Calculating Stress
=> Convert the Area (A) 682.1600000000001 mm² to "square meter (m²)"
F = 682.1600000000001 ÷ 1000000
F = 0.000682 m²
Substitute the value into the formula
Stress (σ) = 568781.517533 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 418 ÷ 1000
r = 0.418 m
=> convert the L1 value to "meters (m)" unit
r = 417.5 ÷ 1000
r = 0.4175 m
ΔL = 0.4175 - 0.418
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001196
As we got all the values we can calculate Young's Modulus
E = -475501348.657206 Pa
∴ Youngs's Modulus (E) = -475501348.657206 Pa
Young's Modulus of L1 = 418 mm, L2 = 417.5 mm, A = 682.1600000000001 mm² and F = 388 N results in different Units
| Values | Units |
|---|---|
| -475501348.657206 | pascals (Pa) |
| -68965.621956 | pounds per square inch (psi) |
| -4755013.486572 | hectopascals (hPa) |
| -475501.348657 | kilopascals (kPa) |
| -475.501349 | megapascal (MPa) |
| -9930845.666706 | 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 419 mm, final length 418.5 mm, area 683.1600000000001 mm² and force 389 N
- Young's modulus of initial length 420 mm, final length 419.5 mm, area 684.1600000000001 mm² and force 390 N
- Young's modulus of initial length 421 mm, final length 420.5 mm, area 685.1600000000001 mm² and force 391 N
- Young's modulus of initial length 422 mm, final length 421.5 mm, area 686.1600000000001 mm² and force 392 N
- Young's modulus of initial length 423 mm, final length 422.5 mm, area 687.1600000000001 mm² and force 393 N