Calculate Young's Modulus of L<sub>1</sub> = 62 mm, L<sub>2</sub> = 61.5 mm, A = 326.16 mm² and F = 32 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 62 mm, L2 = 61.5 mm, A = 326.16 mm² and F = 32 N i.e. -12165808.192298 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 62 mm, L2 = 61.5 mm, A = 326.16 mm² and F = 32 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) = 62 mm
Final Length (L2) = 61.5 mm
Change in Length (ΔL) = ?
Area (A) = 326.16 mm²
Force (F) = 32 N
Calculating Stress
=> Convert the Area (A) 326.16 mm² to "square meter (m²)"
F = 326.16 ÷ 1000000
F = 0.000326 m²
Substitute the value into the formula
Stress (σ) = 98111.35639 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 62 ÷ 1000
r = 0.062 m
=> convert the L1 value to "meters (m)" unit
r = 61.5 ÷ 1000
r = 0.0615 m
ΔL = 0.0615 - 0.062
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.008065
As we got all the values we can calculate Young's Modulus
E = -12165808.192298 Pa
∴ Youngs's Modulus (E) = -12165808.192298 Pa
Young's Modulus of L1 = 62 mm, L2 = 61.5 mm, A = 326.16 mm² and F = 32 N results in different Units
| Values | Units |
|---|---|
| -12165808.192298 | pascals (Pa) |
| -1764.500839 | pounds per square inch (psi) |
| -121658.081923 | hectopascals (hPa) |
| -12165.808192 | kilopascals (kPa) |
| -12.165808 | megapascal (MPa) |
| -254082.904096 | 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 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
- Young's modulus of initial length 65 mm, final length 64.5 mm, area 329.16 mm² and force 35 N
- Young's modulus of initial length 66 mm, final length 65.5 mm, area 330.16 mm² and force 36 N
- Young's modulus of initial length 67 mm, final length 66.5 mm, area 331.16 mm² and force 37 N