Calculate Young's Modulus of L<sub>1</sub> = 475 mm, L<sub>2</sub> = 474.5 mm, A = 739.1600000000001 mm² and F = 445 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 475 mm, L2 = 474.5 mm, A = 739.1600000000001 mm² and F = 445 N i.e. -571933005.032739 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 475 mm, L2 = 474.5 mm, A = 739.1600000000001 mm² and F = 445 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) = 475 mm
Final Length (L2) = 474.5 mm
Change in Length (ΔL) = ?
Area (A) = 739.1600000000001 mm²
Force (F) = 445 N
Calculating Stress
=> Convert the Area (A) 739.1600000000001 mm² to "square meter (m²)"
F = 739.1600000000001 ÷ 1000000
F = 0.000739 m²
Substitute the value into the formula
Stress (σ) = 602034.74214 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 475 ÷ 1000
r = 0.475 m
=> convert the L1 value to "meters (m)" unit
r = 474.5 ÷ 1000
r = 0.4745 m
ΔL = 0.4745 - 0.475
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001053
As we got all the values we can calculate Young's Modulus
E = -571933005.032739 Pa
∴ Youngs's Modulus (E) = -571933005.032739 Pa
Young's Modulus of L1 = 475 mm, L2 = 474.5 mm, A = 739.1600000000001 mm² and F = 445 N results in different Units
| Values | Units |
|---|---|
| -571933005.032739 | pascals (Pa) |
| -82951.847604 | pounds per square inch (psi) |
| -5719330.050327 | hectopascals (hPa) |
| -571933.005033 | kilopascals (kPa) |
| -571.933005 | megapascal (MPa) |
| -11944820.810109 | 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 476 mm, final length 475.5 mm, area 740.1600000000001 mm² and force 446 N
- Young's modulus of initial length 477 mm, final length 476.5 mm, area 741.1600000000001 mm² and force 447 N
- Young's modulus of initial length 478 mm, final length 477.5 mm, area 742.1600000000001 mm² and force 448 N
- Young's modulus of initial length 479 mm, final length 478.5 mm, area 743.1600000000001 mm² and force 449 N
- Young's modulus of initial length 480 mm, final length 479.5 mm, area 744.1600000000001 mm² and force 450 N