Calculate Young's Modulus of L<sub>1</sub> = 77 mm, L<sub>2</sub> = 76.5 mm, A = 341.16 mm² and F = 47 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 77 mm, L2 = 76.5 mm, A = 341.16 mm² and F = 47 N i.e. -21215851.799742 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 77 mm, L2 = 76.5 mm, A = 341.16 mm² and F = 47 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) = 77 mm
Final Length (L2) = 76.5 mm
Change in Length (ΔL) = ?
Area (A) = 341.16 mm²
Force (F) = 47 N
Calculating Stress
=> Convert the Area (A) 341.16 mm² to "square meter (m²)"
F = 341.16 ÷ 1000000
F = 0.000341 m²
Substitute the value into the formula
Stress (σ) = 137765.271427 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 77 ÷ 1000
r = 0.077 m
=> convert the L1 value to "meters (m)" unit
r = 76.5 ÷ 1000
r = 0.0765 m
ΔL = 0.0765 - 0.077
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.006494
As we got all the values we can calculate Young's Modulus
E = -21215851.799742 Pa
∴ Youngs's Modulus (E) = -21215851.799742 Pa
Young's Modulus of L1 = 77 mm, L2 = 76.5 mm, A = 341.16 mm² and F = 47 N results in different Units
| Values | Units |
|---|---|
| -21215851.799742 | pascals (Pa) |
| -3077.098349 | pounds per square inch (psi) |
| -212158.517997 | hectopascals (hPa) |
| -21215.8518 | kilopascals (kPa) |
| -21.215852 | megapascal (MPa) |
| -443093.064838 | 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 78 mm, final length 77.5 mm, area 342.16 mm² and force 48 N
- Young's modulus of initial length 79 mm, final length 78.5 mm, area 343.16 mm² and force 49 N
- Young's modulus of initial length 80 mm, final length 79.5 mm, area 344.16 mm² and force 50 N
- 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