Calculate Young's Modulus of L<sub>1</sub> = 80 mm, L<sub>2</sub> = 79.5 mm, A = 344.16 mm² and F = 50 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 80 mm, L2 = 79.5 mm, A = 344.16 mm² and F = 50 N i.e. -23245002.3245 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 80 mm, L2 = 79.5 mm, A = 344.16 mm² and F = 50 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) = 80 mm
Final Length (L2) = 79.5 mm
Change in Length (ΔL) = ?
Area (A) = 344.16 mm²
Force (F) = 50 N
Calculating Stress
=> Convert the Area (A) 344.16 mm² to "square meter (m²)"
F = 344.16 ÷ 1000000
F = 0.000344 m²
Substitute the value into the formula
Stress (σ) = 145281.264528 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 80 ÷ 1000
r = 0.08 m
=> convert the L1 value to "meters (m)" unit
r = 79.5 ÷ 1000
r = 0.0795 m
ΔL = 0.0795 - 0.08
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00625
As we got all the values we can calculate Young's Modulus
E = -23245002.3245 Pa
∴ Youngs's Modulus (E) = -23245002.3245 Pa
Young's Modulus of L1 = 80 mm, L2 = 79.5 mm, A = 344.16 mm² and F = 50 N results in different Units
| Values | Units |
|---|---|
| -23245002.3245 | pascals (Pa) |
| -3371.401674 | pounds per square inch (psi) |
| -232450.023245 | hectopascals (hPa) |
| -23245.002325 | kilopascals (kPa) |
| -23.245002 | megapascal (MPa) |
| -485471.873547 | 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 81 mm, final length 80.5 mm, area 345.16 mm² and force 51 N
- Young's modulus of initial length 82 mm, final length 81.5 mm, area 346.16 mm² and force 52 N
- Young's modulus of initial length 83 mm, final length 82.5 mm, area 347.16 mm² and force 53 N
- Young's modulus of initial length 84 mm, final length 83.5 mm, area 348.16 mm² and force 54 N
- Young's modulus of initial length 85 mm, final length 84.5 mm, area 349.16 mm² and force 55 N