Calculate Young's Modulus of L<sub>1</sub> = 150 mm, L<sub>2</sub> = 149.5 mm, A = 414.16 mm² and F = 120 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 150 mm, L2 = 149.5 mm, A = 414.16 mm² and F = 120 N i.e. -86922928.336875 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 150 mm, L2 = 149.5 mm, A = 414.16 mm² and F = 120 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) = 150 mm
Final Length (L2) = 149.5 mm
Change in Length (ΔL) = ?
Area (A) = 414.16 mm²
Force (F) = 120 N
Calculating Stress
=> Convert the Area (A) 414.16 mm² to "square meter (m²)"
F = 414.16 ÷ 1000000
F = 0.000414 m²
Substitute the value into the formula
Stress (σ) = 289743.094456 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 150 ÷ 1000
r = 0.15 m
=> convert the L1 value to "meters (m)" unit
r = 149.5 ÷ 1000
r = 0.1495 m
ΔL = 0.1495 - 0.15
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003333
As we got all the values we can calculate Young's Modulus
E = -86922928.336875 Pa
∴ Youngs's Modulus (E) = -86922928.336875 Pa
Young's Modulus of L1 = 150 mm, L2 = 149.5 mm, A = 414.16 mm² and F = 120 N results in different Units
| Values | Units |
|---|---|
| -86922928.336875 | pascals (Pa) |
| -12607.101603 | pounds per square inch (psi) |
| -869229.283369 | hectopascals (hPa) |
| -86922.928337 | kilopascals (kPa) |
| -86.922928 | megapascal (MPa) |
| -1815385.358316 | 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 151 mm, final length 150.5 mm, area 415.16 mm² and force 121 N
- Young's modulus of initial length 152 mm, final length 151.5 mm, area 416.16 mm² and force 122 N
- Young's modulus of initial length 153 mm, final length 152.5 mm, area 417.16 mm² and force 123 N
- Young's modulus of initial length 154 mm, final length 153.5 mm, area 418.16 mm² and force 124 N
- Young's modulus of initial length 155 mm, final length 154.5 mm, area 419.16 mm² and force 125 N