Calculate Young's Modulus of L<sub>1</sub> = 87 mm, L<sub>2</sub> = 86.5 mm, A = 351.16 mm² and F = 57 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 87 mm, L2 = 86.5 mm, A = 351.16 mm² and F = 57 N i.e. -28243535.710218 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 87 mm, L2 = 86.5 mm, A = 351.16 mm² and F = 57 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) = 87 mm
Final Length (L2) = 86.5 mm
Change in Length (ΔL) = ?
Area (A) = 351.16 mm²
Force (F) = 57 N
Calculating Stress
=> Convert the Area (A) 351.16 mm² to "square meter (m²)"
F = 351.16 ÷ 1000000
F = 0.000351 m²
Substitute the value into the formula
Stress (σ) = 162319.170748 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 87 ÷ 1000
r = 0.087 m
=> convert the L1 value to "meters (m)" unit
r = 86.5 ÷ 1000
r = 0.0865 m
ΔL = 0.0865 - 0.087
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005747
As we got all the values we can calculate Young's Modulus
E = -28243535.710218 Pa
∴ Youngs's Modulus (E) = -28243535.710218 Pa
Young's Modulus of L1 = 87 mm, L2 = 86.5 mm, A = 351.16 mm² and F = 57 N results in different Units
| Values | Units |
|---|---|
| -28243535.710218 | pascals (Pa) |
| -4096.377459 | pounds per square inch (psi) |
| -282435.357102 | hectopascals (hPa) |
| -28243.53571 | kilopascals (kPa) |
| -28.243536 | megapascal (MPa) |
| -589866.243308 | 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 88 mm, final length 87.5 mm, area 352.16 mm² and force 58 N
- Young's modulus of initial length 89 mm, final length 88.5 mm, area 353.16 mm² and force 59 N
- Young's modulus of initial length 90 mm, final length 89.5 mm, area 354.16 mm² and force 60 N
- Young's modulus of initial length 91 mm, final length 90.5 mm, area 355.16 mm² and force 61 N
- Young's modulus of initial length 92 mm, final length 91.5 mm, area 356.16 mm² and force 62 N