Calculate Young's Modulus of L<sub>1</sub> = 170 mm, L<sub>2</sub> = 169.5 mm, A = 434.16 mm² and F = 140 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 170 mm, L2 = 169.5 mm, A = 434.16 mm² and F = 140 N i.e. -109637000.184264 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 170 mm, L2 = 169.5 mm, A = 434.16 mm² and F = 140 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) = 170 mm
Final Length (L2) = 169.5 mm
Change in Length (ΔL) = ?
Area (A) = 434.16 mm²
Force (F) = 140 N
Calculating Stress
=> Convert the Area (A) 434.16 mm² to "square meter (m²)"
F = 434.16 ÷ 1000000
F = 0.000434 m²
Substitute the value into the formula
Stress (σ) = 322461.765248 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 170 ÷ 1000
r = 0.17 m
=> convert the L1 value to "meters (m)" unit
r = 169.5 ÷ 1000
r = 0.1695 m
ΔL = 0.1695 - 0.17
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.002941
As we got all the values we can calculate Young's Modulus
E = -109637000.184264 Pa
∴ Youngs's Modulus (E) = -109637000.184264 Pa
Young's Modulus of L1 = 170 mm, L2 = 169.5 mm, A = 434.16 mm² and F = 140 N results in different Units
| Values | Units |
|---|---|
| -109637000.184264 | pascals (Pa) |
| -15901.498342 | pounds per square inch (psi) |
| -1096370.001843 | hectopascals (hPa) |
| -109637.000184 | kilopascals (kPa) |
| -109.637 | megapascal (MPa) |
| -2289768.748848 | 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 171 mm, final length 170.5 mm, area 435.16 mm² and force 141 N
- Young's modulus of initial length 172 mm, final length 171.5 mm, area 436.16 mm² and force 142 N
- Young's modulus of initial length 173 mm, final length 172.5 mm, area 437.16 mm² and force 143 N
- Young's modulus of initial length 174 mm, final length 173.5 mm, area 438.16 mm² and force 144 N
- Young's modulus of initial length 175 mm, final length 174.5 mm, area 439.16 mm² and force 145 N