Calculate Young's Modulus of L<sub>1</sub> = 105 mm, L<sub>2</sub> = 104.5 mm, A = 369.16 mm² and F = 75 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 105 mm, L2 = 104.5 mm, A = 369.16 mm² and F = 75 N i.e. -42664427.348575 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 105 mm, L2 = 104.5 mm, A = 369.16 mm² and F = 75 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) = 105 mm
Final Length (L2) = 104.5 mm
Change in Length (ΔL) = ?
Area (A) = 369.16 mm²
Force (F) = 75 N
Calculating Stress
=> Convert the Area (A) 369.16 mm² to "square meter (m²)"
F = 369.16 ÷ 1000000
F = 0.000369 m²
Substitute the value into the formula
Stress (σ) = 203163.939755 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 105 ÷ 1000
r = 0.105 m
=> convert the L1 value to "meters (m)" unit
r = 104.5 ÷ 1000
r = 0.1045 m
ΔL = 0.1045 - 0.105
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004762
As we got all the values we can calculate Young's Modulus
E = -42664427.348575 Pa
∴ Youngs's Modulus (E) = -42664427.348575 Pa
Young's Modulus of L1 = 105 mm, L2 = 104.5 mm, A = 369.16 mm² and F = 75 N results in different Units
| Values | Units |
|---|---|
| -42664427.348575 | pascals (Pa) |
| -6187.950414 | pounds per square inch (psi) |
| -426644.273486 | hectopascals (hPa) |
| -42664.427349 | kilopascals (kPa) |
| -42.664427 | megapascal (MPa) |
| -891046.565175 | 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 106 mm, final length 105.5 mm, area 370.16 mm² and force 76 N
- Young's modulus of initial length 107 mm, final length 106.5 mm, area 371.16 mm² and force 77 N
- Young's modulus of initial length 108 mm, final length 107.5 mm, area 372.16 mm² and force 78 N
- Young's modulus of initial length 109 mm, final length 108.5 mm, area 373.16 mm² and force 79 N
- Young's modulus of initial length 110 mm, final length 109.5 mm, area 374.16 mm² and force 80 N