Calculate Young's Modulus of L<sub>1</sub> = 59 mm, L<sub>2</sub> = 58.5 mm, A = 323.16 mm² and F = 29 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 59 mm, L2 = 58.5 mm, A = 323.16 mm² and F = 29 N i.e. -10589181.829434 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 59 mm, L2 = 58.5 mm, A = 323.16 mm² and F = 29 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) = 59 mm
Final Length (L2) = 58.5 mm
Change in Length (ΔL) = ?
Area (A) = 323.16 mm²
Force (F) = 29 N
Calculating Stress
=> Convert the Area (A) 323.16 mm² to "square meter (m²)"
F = 323.16 ÷ 1000000
F = 0.000323 m²
Substitute the value into the formula
Stress (σ) = 89738.829063 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 59 ÷ 1000
r = 0.059 m
=> convert the L1 value to "meters (m)" unit
r = 58.5 ÷ 1000
r = 0.0585 m
ΔL = 0.0585 - 0.059
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.008475
As we got all the values we can calculate Young's Modulus
E = -10589181.829434 Pa
∴ Youngs's Modulus (E) = -10589181.829434 Pa
Young's Modulus of L1 = 59 mm, L2 = 58.5 mm, A = 323.16 mm² and F = 29 N results in different Units
| Values | Units |
|---|---|
| -10589181.829434 | pascals (Pa) |
| -1535.830577 | pounds per square inch (psi) |
| -105891.818294 | hectopascals (hPa) |
| -10589.181829 | kilopascals (kPa) |
| -10.589182 | megapascal (MPa) |
| -221155.062508 | 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 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
- Young's modulus of initial length 63 mm, final length 62.5 mm, area 327.16 mm² and force 33 N
- Young's modulus of initial length 64 mm, final length 63.5 mm, area 328.16 mm² and force 34 N