Calculate Young's Modulus of L<sub>1</sub> = 145 mm, L<sub>2</sub> = 144.5 mm, A = 409.16 mm² and F = 115 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 145 mm, L2 = 144.5 mm, A = 409.16 mm² and F = 115 N i.e. -81508456.349594 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 145 mm, L2 = 144.5 mm, A = 409.16 mm² and F = 115 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) = 145 mm
Final Length (L2) = 144.5 mm
Change in Length (ΔL) = ?
Area (A) = 409.16 mm²
Force (F) = 115 N
Calculating Stress
=> Convert the Area (A) 409.16 mm² to "square meter (m²)"
F = 409.16 ÷ 1000000
F = 0.000409 m²
Substitute the value into the formula
Stress (σ) = 281063.642585 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 145 ÷ 1000
r = 0.145 m
=> convert the L1 value to "meters (m)" unit
r = 144.5 ÷ 1000
r = 0.1445 m
ΔL = 0.1445 - 0.145
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003448
As we got all the values we can calculate Young's Modulus
E = -81508456.349594 Pa
∴ Youngs's Modulus (E) = -81508456.349594 Pa
Young's Modulus of L1 = 145 mm, L2 = 144.5 mm, A = 409.16 mm² and F = 115 N results in different Units
| Values | Units |
|---|---|
| -81508456.349594 | pascals (Pa) |
| -11821.799039 | pounds per square inch (psi) |
| -815084.563496 | hectopascals (hPa) |
| -81508.45635 | kilopascals (kPa) |
| -81.508456 | megapascal (MPa) |
| -1702304.110861 | 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 146 mm, final length 145.5 mm, area 410.16 mm² and force 116 N
- Young's modulus of initial length 147 mm, final length 146.5 mm, area 411.16 mm² and force 117 N
- Young's modulus of initial length 148 mm, final length 147.5 mm, area 412.16 mm² and force 118 N
- Young's modulus of initial length 149 mm, final length 148.5 mm, area 413.16 mm² and force 119 N
- Young's modulus of initial length 150 mm, final length 149.5 mm, area 414.16 mm² and force 120 N