Calculate Young's Modulus of L<sub>1</sub> = 128 mm, L<sub>2</sub> = 127.5 mm, A = 392.16 mm² and F = 98 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 128 mm, L2 = 127.5 mm, A = 392.16 mm² and F = 98 N i.e. -63973888.208894 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 128 mm, L2 = 127.5 mm, A = 392.16 mm² and F = 98 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) = 128 mm
Final Length (L2) = 127.5 mm
Change in Length (ΔL) = ?
Area (A) = 392.16 mm²
Force (F) = 98 N
Calculating Stress
=> Convert the Area (A) 392.16 mm² to "square meter (m²)"
F = 392.16 ÷ 1000000
F = 0.000392 m²
Substitute the value into the formula
Stress (σ) = 249898.000816 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 128 ÷ 1000
r = 0.128 m
=> convert the L1 value to "meters (m)" unit
r = 127.5 ÷ 1000
r = 0.1275 m
ΔL = 0.1275 - 0.128
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003906
As we got all the values we can calculate Young's Modulus
E = -63973888.208894 Pa
∴ Youngs's Modulus (E) = -63973888.208894 Pa
Young's Modulus of L1 = 128 mm, L2 = 127.5 mm, A = 392.16 mm² and F = 98 N results in different Units
| Values | Units |
|---|---|
| -63973888.208894 | pascals (Pa) |
| -9278.625606 | pounds per square inch (psi) |
| -639738.882089 | hectopascals (hPa) |
| -63973.888209 | kilopascals (kPa) |
| -63.973888 | megapascal (MPa) |
| -1336094.655243 | 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 129 mm, final length 128.5 mm, area 393.16 mm² and force 99 N
- Young's modulus of initial length 130 mm, final length 129.5 mm, area 394.16 mm² and force 100 N
- Young's modulus of initial length 131 mm, final length 130.5 mm, area 395.16 mm² and force 101 N
- Young's modulus of initial length 132 mm, final length 131.5 mm, area 396.16 mm² and force 102 N
- Young's modulus of initial length 133 mm, final length 132.5 mm, area 397.16 mm² and force 103 N