Calculate Young's Modulus of L<sub>1</sub> = 52 mm, L<sub>2</sub> = 51.5 mm, A = 316.16 mm² and F = 22 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 52 mm, L2 = 51.5 mm, A = 316.16 mm² and F = 22 N i.e. -7236842.105263 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 52 mm, L2 = 51.5 mm, A = 316.16 mm² and F = 22 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) = 52 mm
Final Length (L2) = 51.5 mm
Change in Length (ΔL) = ?
Area (A) = 316.16 mm²
Force (F) = 22 N
Calculating Stress
=> Convert the Area (A) 316.16 mm² to "square meter (m²)"
F = 316.16 ÷ 1000000
F = 0.000316 m²
Substitute the value into the formula
Stress (σ) = 69585.020243 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 52 ÷ 1000
r = 0.052 m
=> convert the L1 value to "meters (m)" unit
r = 51.5 ÷ 1000
r = 0.0515 m
ΔL = 0.0515 - 0.052
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.009615
As we got all the values we can calculate Young's Modulus
E = -7236842.105263 Pa
∴ Youngs's Modulus (E) = -7236842.105263 Pa
Young's Modulus of L1 = 52 mm, L2 = 51.5 mm, A = 316.16 mm² and F = 22 N results in different Units
| Values | Units |
|---|---|
| -7236842.105263 | pascals (Pa) |
| -1049.614934 | pounds per square inch (psi) |
| -72368.421053 | hectopascals (hPa) |
| -7236.842105 | kilopascals (kPa) |
| -7.236842 | megapascal (MPa) |
| -151141.447368 | 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 53 mm, final length 52.5 mm, area 317.16 mm² and force 23 N
- Young's modulus of initial length 54 mm, final length 53.5 mm, area 318.16 mm² and force 24 N
- Young's modulus of initial length 55 mm, final length 54.5 mm, area 319.16 mm² and force 25 N
- Young's modulus of initial length 56 mm, final length 55.5 mm, area 320.16 mm² and force 26 N
- Young's modulus of initial length 57 mm, final length 56.5 mm, area 321.16 mm² and force 27 N