Calculate Young's Modulus of L<sub>1</sub> = 630 mm, L<sub>2</sub> = 629.5 mm, A = 894.1600000000001 mm² and F = 600 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 630 mm, L2 = 629.5 mm, A = 894.1600000000001 mm² and F = 600 N i.e. -845486266.439916 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 630 mm, L2 = 629.5 mm, A = 894.1600000000001 mm² and F = 600 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) = 630 mm
Final Length (L2) = 629.5 mm
Change in Length (ΔL) = ?
Area (A) = 894.1600000000001 mm²
Force (F) = 600 N
Calculating Stress
=> Convert the Area (A) 894.1600000000001 mm² to "square meter (m²)"
F = 894.1600000000001 ÷ 1000000
F = 0.000894 m²
Substitute the value into the formula
Stress (σ) = 671020.846381 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 630 ÷ 1000
r = 0.63 m
=> convert the L1 value to "meters (m)" unit
r = 629.5 ÷ 1000
r = 0.6295 m
ΔL = 0.6295 - 0.63
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000794
As we got all the values we can calculate Young's Modulus
E = -845486266.439916 Pa
∴ Youngs's Modulus (E) = -845486266.439916 Pa
Young's Modulus of L1 = 630 mm, L2 = 629.5 mm, A = 894.1600000000001 mm² and F = 600 N results in different Units
| Values | Units |
|---|---|
| -845486266.439916 | pascals (Pa) |
| -122627.383466 | pounds per square inch (psi) |
| -8454862.664399 | hectopascals (hPa) |
| -845486.26644 | kilopascals (kPa) |
| -845.486266 | megapascal (MPa) |
| -17657980.674598 | 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 631 mm, final length 630.5 mm, area 895.1600000000001 mm² and force 601 N
- Young's modulus of initial length 632 mm, final length 631.5 mm, area 896.1600000000001 mm² and force 602 N
- Young's modulus of initial length 633 mm, final length 632.5 mm, area 897.1600000000001 mm² and force 603 N
- Young's modulus of initial length 634 mm, final length 633.5 mm, area 898.1600000000001 mm² and force 604 N
- Young's modulus of initial length 635 mm, final length 634.5 mm, area 899.1600000000001 mm² and force 605 N