Calculate Young's Modulus of L<sub>1</sub> = 100 mm, L<sub>2</sub> = 99.5 mm, A = 364.16 mm² and F = 70 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 100 mm, L2 = 99.5 mm, A = 364.16 mm² and F = 70 N i.e. -38444639.718805 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 100 mm, L2 = 99.5 mm, A = 364.16 mm² and F = 70 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) = 100 mm
Final Length (L2) = 99.5 mm
Change in Length (ΔL) = ?
Area (A) = 364.16 mm²
Force (F) = 70 N
Calculating Stress
=> Convert the Area (A) 364.16 mm² to "square meter (m²)"
F = 364.16 ÷ 1000000
F = 0.000364 m²
Substitute the value into the formula
Stress (σ) = 192223.198594 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 100 ÷ 1000
r = 0.1 m
=> convert the L1 value to "meters (m)" unit
r = 99.5 ÷ 1000
r = 0.0995 m
ΔL = 0.0995 - 0.1
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005
As we got all the values we can calculate Young's Modulus
E = -38444639.718805 Pa
∴ Youngs's Modulus (E) = -38444639.718805 Pa
Young's Modulus of L1 = 100 mm, L2 = 99.5 mm, A = 364.16 mm² and F = 70 N results in different Units
| Values | Units |
|---|---|
| -38444639.718805 | pascals (Pa) |
| -5575.922122 | pounds per square inch (psi) |
| -384446.397188 | hectopascals (hPa) |
| -38444.639719 | kilopascals (kPa) |
| -38.44464 | megapascal (MPa) |
| -802916.300527 | 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 101 mm, final length 100.5 mm, area 365.16 mm² and force 71 N
- Young's modulus of initial length 102 mm, final length 101.5 mm, area 366.16 mm² and force 72 N
- Young's modulus of initial length 103 mm, final length 102.5 mm, area 367.16 mm² and force 73 N
- Young's modulus of initial length 104 mm, final length 103.5 mm, area 368.16 mm² and force 74 N
- Young's modulus of initial length 105 mm, final length 104.5 mm, area 369.16 mm² and force 75 N