Calculate Young's Modulus of L<sub>1</sub> = 67 mm, L<sub>2</sub> = 66.5 mm, A = 331.16 mm² and F = 37 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 67 mm, L2 = 66.5 mm, A = 331.16 mm² and F = 37 N i.e. -14971614.929339 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 67 mm, L2 = 66.5 mm, A = 331.16 mm² and F = 37 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) = 67 mm
Final Length (L2) = 66.5 mm
Change in Length (ΔL) = ?
Area (A) = 331.16 mm²
Force (F) = 37 N
Calculating Stress
=> Convert the Area (A) 331.16 mm² to "square meter (m²)"
F = 331.16 ÷ 1000000
F = 0.000331 m²
Substitute the value into the formula
Stress (σ) = 111728.469622 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 67 ÷ 1000
r = 0.067 m
=> convert the L1 value to "meters (m)" unit
r = 66.5 ÷ 1000
r = 0.0665 m
ΔL = 0.0665 - 0.067
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.007463
As we got all the values we can calculate Young's Modulus
E = -14971614.929339 Pa
∴ Youngs's Modulus (E) = -14971614.929339 Pa
Young's Modulus of L1 = 67 mm, L2 = 66.5 mm, A = 331.16 mm² and F = 37 N results in different Units
| Values | Units |
|---|---|
| -14971614.929339 | pascals (Pa) |
| -2171.448595 | pounds per square inch (psi) |
| -149716.149293 | hectopascals (hPa) |
| -14971.614929 | kilopascals (kPa) |
| -14.971615 | megapascal (MPa) |
| -312682.177799 | 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 68 mm, final length 67.5 mm, area 332.16 mm² and force 38 N
- Young's modulus of initial length 69 mm, final length 68.5 mm, area 333.16 mm² and force 39 N
- Young's modulus of initial length 70 mm, final length 69.5 mm, area 334.16 mm² and force 40 N
- Young's modulus of initial length 71 mm, final length 70.5 mm, area 335.16 mm² and force 41 N
- Young's modulus of initial length 72 mm, final length 71.5 mm, area 336.16 mm² and force 42 N