Calculate Young's Modulus of L<sub>1</sub> = 500 mm, L<sub>2</sub> = 499.5 mm, A = 764.1600000000001 mm² and F = 470 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 500 mm, L2 = 499.5 mm, A = 764.1600000000001 mm² and F = 470 N i.e. -615054438.860971 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 500 mm, L2 = 499.5 mm, A = 764.1600000000001 mm² and F = 470 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) = 500 mm
Final Length (L2) = 499.5 mm
Change in Length (ΔL) = ?
Area (A) = 764.1600000000001 mm²
Force (F) = 470 N
Calculating Stress
=> Convert the Area (A) 764.1600000000001 mm² to "square meter (m²)"
F = 764.1600000000001 ÷ 1000000
F = 0.000764 m²
Substitute the value into the formula
Stress (σ) = 615054.438861 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 500 ÷ 1000
r = 0.5 m
=> convert the L1 value to "meters (m)" unit
r = 499.5 ÷ 1000
r = 0.4995 m
ΔL = 0.4995 - 0.5
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001
As we got all the values we can calculate Young's Modulus
E = -615054438.860971 Pa
∴ Youngs's Modulus (E) = -615054438.860971 Pa
Young's Modulus of L1 = 500 mm, L2 = 499.5 mm, A = 764.1600000000001 mm² and F = 470 N results in different Units
| Values | Units |
|---|---|
| -615054438.860971 | pascals (Pa) |
| -89206.081187 | pounds per square inch (psi) |
| -6150544.38861 | hectopascals (hPa) |
| -615054.438861 | kilopascals (kPa) |
| -615.054439 | megapascal (MPa) |
| -12845411.955611 | 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 501 mm, final length 500.5 mm, area 765.1600000000001 mm² and force 471 N
- Young's modulus of initial length 502 mm, final length 501.5 mm, area 766.1600000000001 mm² and force 472 N
- Young's modulus of initial length 503 mm, final length 502.5 mm, area 767.1600000000001 mm² and force 473 N
- Young's modulus of initial length 504 mm, final length 503.5 mm, area 768.1600000000001 mm² and force 474 N
- Young's modulus of initial length 505 mm, final length 504.5 mm, area 769.1600000000001 mm² and force 475 N