Calculate Young's Modulus of L<sub>1</sub> = 57 mm, L<sub>2</sub> = 56.5 mm, A = 321.16 mm² and F = 27 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 57 mm, L2 = 56.5 mm, A = 321.16 mm² and F = 27 N i.e. -9584007.971105 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 57 mm, L2 = 56.5 mm, A = 321.16 mm² and F = 27 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) = 57 mm
Final Length (L2) = 56.5 mm
Change in Length (ΔL) = ?
Area (A) = 321.16 mm²
Force (F) = 27 N
Calculating Stress
=> Convert the Area (A) 321.16 mm² to "square meter (m²)"
F = 321.16 ÷ 1000000
F = 0.000321 m²
Substitute the value into the formula
Stress (σ) = 84070.245361 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 57 ÷ 1000
r = 0.057 m
=> convert the L1 value to "meters (m)" unit
r = 56.5 ÷ 1000
r = 0.0565 m
ΔL = 0.0565 - 0.057
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.008772
As we got all the values we can calculate Young's Modulus
E = -9584007.971105 Pa
∴ Youngs's Modulus (E) = -9584007.971105 Pa
Young's Modulus of L1 = 57 mm, L2 = 56.5 mm, A = 321.16 mm² and F = 27 N results in different Units
| Values | Units |
|---|---|
| -9584007.971105 | pascals (Pa) |
| -1390.042473 | pounds per square inch (psi) |
| -95840.079711 | hectopascals (hPa) |
| -9584.007971 | kilopascals (kPa) |
| -9.584008 | megapascal (MPa) |
| -200162.006477 | 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 58 mm, final length 57.5 mm, area 322.16 mm² and force 28 N
- Young's modulus of initial length 59 mm, final length 58.5 mm, area 323.16 mm² and force 29 N
- Young's modulus of initial length 60 mm, final length 59.5 mm, area 324.16 mm² and force 30 N
- Young's modulus of initial length 61 mm, final length 60.5 mm, area 325.16 mm² and force 31 N
- Young's modulus of initial length 62 mm, final length 61.5 mm, area 326.16 mm² and force 32 N