Calculate Young's Modulus of L<sub>1</sub> = 152 mm, L<sub>2</sub> = 151.5 mm, A = 416.16 mm² and F = 122 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 152 mm, L2 = 151.5 mm, A = 416.16 mm² and F = 122 N i.e. -89119569.396386 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 152 mm, L2 = 151.5 mm, A = 416.16 mm² and F = 122 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) = 152 mm
Final Length (L2) = 151.5 mm
Change in Length (ΔL) = ?
Area (A) = 416.16 mm²
Force (F) = 122 N
Calculating Stress
=> Convert the Area (A) 416.16 mm² to "square meter (m²)"
F = 416.16 ÷ 1000000
F = 0.000416 m²
Substitute the value into the formula
Stress (σ) = 293156.478278 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 152 ÷ 1000
r = 0.152 m
=> convert the L1 value to "meters (m)" unit
r = 151.5 ÷ 1000
r = 0.1515 m
ΔL = 0.1515 - 0.152
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003289
As we got all the values we can calculate Young's Modulus
E = -89119569.396386 Pa
∴ Youngs's Modulus (E) = -89119569.396386 Pa
Young's Modulus of L1 = 152 mm, L2 = 151.5 mm, A = 416.16 mm² and F = 122 N results in different Units
| Values | Units |
|---|---|
| -89119569.396386 | pascals (Pa) |
| -12925.69737 | pounds per square inch (psi) |
| -891195.693964 | hectopascals (hPa) |
| -89119.569396 | kilopascals (kPa) |
| -89.119569 | megapascal (MPa) |
| -1861262.206844 | 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 153 mm, final length 152.5 mm, area 417.16 mm² and force 123 N
- Young's modulus of initial length 154 mm, final length 153.5 mm, area 418.16 mm² and force 124 N
- Young's modulus of initial length 155 mm, final length 154.5 mm, area 419.16 mm² and force 125 N
- Young's modulus of initial length 156 mm, final length 155.5 mm, area 420.16 mm² and force 126 N
- Young's modulus of initial length 157 mm, final length 156.5 mm, area 421.16 mm² and force 127 N