Calculate Young's Modulus of L<sub>1</sub> = 297 mm, L<sub>2</sub> = 296.5 mm, A = 561.1600000000001 mm² and F = 267 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 297 mm, L2 = 296.5 mm, A = 561.1600000000001 mm² and F = 267 N i.e. -282625276.213557 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 297 mm, L2 = 296.5 mm, A = 561.1600000000001 mm² and F = 267 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) = 297 mm
Final Length (L2) = 296.5 mm
Change in Length (ΔL) = ?
Area (A) = 561.1600000000001 mm²
Force (F) = 267 N
Calculating Stress
=> Convert the Area (A) 561.1600000000001 mm² to "square meter (m²)"
F = 561.1600000000001 ÷ 1000000
F = 0.000561 m²
Substitute the value into the formula
Stress (σ) = 475800.128306 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 297 ÷ 1000
r = 0.297 m
=> convert the L1 value to "meters (m)" unit
r = 296.5 ÷ 1000
r = 0.2965 m
ΔL = 0.2965 - 0.297
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001684
As we got all the values we can calculate Young's Modulus
E = -282625276.213557 Pa
∴ Youngs's Modulus (E) = -282625276.213557 Pa
Young's Modulus of L1 = 297 mm, L2 = 296.5 mm, A = 561.1600000000001 mm² and F = 267 N results in different Units
| Values | Units |
|---|---|
| -282625276.213557 | pascals (Pa) |
| -40991.320024 | pounds per square inch (psi) |
| -2826252.762136 | hectopascals (hPa) |
| -282625.276214 | kilopascals (kPa) |
| -282.625276 | megapascal (MPa) |
| -5902628.89372 | 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 298 mm, final length 297.5 mm, area 562.1600000000001 mm² and force 268 N
- Young's modulus of initial length 299 mm, final length 298.5 mm, area 563.1600000000001 mm² and force 269 N
- Young's modulus of initial length 300 mm, final length 299.5 mm, area 564.1600000000001 mm² and force 270 N
- Young's modulus of initial length 301 mm, final length 300.5 mm, area 565.1600000000001 mm² and force 271 N
- Young's modulus of initial length 302 mm, final length 301.5 mm, area 566.1600000000001 mm² and force 272 N