Calculate Young's Modulus of L<sub>1</sub> = 90 mm, L<sub>2</sub> = 89.5 mm, A = 354.16 mm² and F = 60 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 90 mm, L2 = 89.5 mm, A = 354.16 mm² and F = 60 N i.e. -30494691.664784 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 90 mm, L2 = 89.5 mm, A = 354.16 mm² and F = 60 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) = 90 mm
Final Length (L2) = 89.5 mm
Change in Length (ΔL) = ?
Area (A) = 354.16 mm²
Force (F) = 60 N
Calculating Stress
=> Convert the Area (A) 354.16 mm² to "square meter (m²)"
F = 354.16 ÷ 1000000
F = 0.000354 m²
Substitute the value into the formula
Stress (σ) = 169414.953693 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 90 ÷ 1000
r = 0.09 m
=> convert the L1 value to "meters (m)" unit
r = 89.5 ÷ 1000
r = 0.0895 m
ΔL = 0.0895 - 0.09
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005556
As we got all the values we can calculate Young's Modulus
E = -30494691.664784 Pa
∴ Youngs's Modulus (E) = -30494691.664784 Pa
Young's Modulus of L1 = 90 mm, L2 = 89.5 mm, A = 354.16 mm² and F = 60 N results in different Units
| Values | Units |
|---|---|
| -30494691.664784 | pascals (Pa) |
| -4422.879941 | pounds per square inch (psi) |
| -304946.916648 | hectopascals (hPa) |
| -30494.691665 | kilopascals (kPa) |
| -30.494692 | megapascal (MPa) |
| -636881.635419 | 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 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
- Young's modulus of initial length 93 mm, final length 92.5 mm, area 357.16 mm² and force 63 N
- Young's modulus of initial length 94 mm, final length 93.5 mm, area 358.16 mm² and force 64 N
- Young's modulus of initial length 95 mm, final length 94.5 mm, area 359.16 mm² and force 65 N