Calculate Young's Modulus of L<sub>1</sub> = 123 mm, L<sub>2</sub> = 122.5 mm, A = 387.16 mm² and F = 93 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 123 mm, L2 = 122.5 mm, A = 387.16 mm² and F = 93 N i.e. -59091848.331439 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 123 mm, L2 = 122.5 mm, A = 387.16 mm² and F = 93 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) = 123 mm
Final Length (L2) = 122.5 mm
Change in Length (ΔL) = ?
Area (A) = 387.16 mm²
Force (F) = 93 N
Calculating Stress
=> Convert the Area (A) 387.16 mm² to "square meter (m²)"
F = 387.16 ÷ 1000000
F = 0.000387 m²
Substitute the value into the formula
Stress (σ) = 240210.765575 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 123 ÷ 1000
r = 0.123 m
=> convert the L1 value to "meters (m)" unit
r = 122.5 ÷ 1000
r = 0.1225 m
ΔL = 0.1225 - 0.123
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004065
As we got all the values we can calculate Young's Modulus
E = -59091848.331439 Pa
∴ Youngs's Modulus (E) = -59091848.331439 Pa
Young's Modulus of L1 = 123 mm, L2 = 122.5 mm, A = 387.16 mm² and F = 93 N results in different Units
| Values | Units |
|---|---|
| -59091848.331439 | pascals (Pa) |
| -8570.545771 | pounds per square inch (psi) |
| -590918.483314 | hectopascals (hPa) |
| -59091.848331 | kilopascals (kPa) |
| -59.091848 | megapascal (MPa) |
| -1234133.252402 | 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 124 mm, final length 123.5 mm, area 388.16 mm² and force 94 N
- Young's modulus of initial length 125 mm, final length 124.5 mm, area 389.16 mm² and force 95 N
- Young's modulus of initial length 126 mm, final length 125.5 mm, area 390.16 mm² and force 96 N
- Young's modulus of initial length 127 mm, final length 126.5 mm, area 391.16 mm² and force 97 N
- Young's modulus of initial length 128 mm, final length 127.5 mm, area 392.16 mm² and force 98 N