Calculate Young's Modulus of L<sub>1</sub> = 147 mm, L<sub>2</sub> = 146.5 mm, A = 411.16 mm² and F = 117 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 147 mm, L2 = 146.5 mm, A = 411.16 mm² and F = 117 N i.e. -83660861.951552 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 147 mm, L2 = 146.5 mm, A = 411.16 mm² and F = 117 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) = 147 mm
Final Length (L2) = 146.5 mm
Change in Length (ΔL) = ?
Area (A) = 411.16 mm²
Force (F) = 117 N
Calculating Stress
=> Convert the Area (A) 411.16 mm² to "square meter (m²)"
F = 411.16 ÷ 1000000
F = 0.000411 m²
Substitute the value into the formula
Stress (σ) = 284560.754937 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 147 ÷ 1000
r = 0.147 m
=> convert the L1 value to "meters (m)" unit
r = 146.5 ÷ 1000
r = 0.1465 m
ΔL = 0.1465 - 0.147
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003401
As we got all the values we can calculate Young's Modulus
E = -83660861.951552 Pa
∴ Youngs's Modulus (E) = -83660861.951552 Pa
Young's Modulus of L1 = 147 mm, L2 = 146.5 mm, A = 411.16 mm² and F = 117 N results in different Units
| Values | Units |
|---|---|
| -83660861.951552 | pascals (Pa) |
| -12133.978997 | pounds per square inch (psi) |
| -836608.619516 | hectopascals (hPa) |
| -83660.861952 | kilopascals (kPa) |
| -83.660862 | megapascal (MPa) |
| -1747257.101858 | 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 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
- 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