Calculate Young's Modulus of L<sub>1</sub> = 175 mm, L<sub>2</sub> = 174.5 mm, A = 439.16 mm² and F = 145 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 175 mm, L2 = 174.5 mm, A = 439.16 mm² and F = 145 N i.e. -115561526.550688 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 175 mm, L2 = 174.5 mm, A = 439.16 mm² and F = 145 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) = 175 mm
Final Length (L2) = 174.5 mm
Change in Length (ΔL) = ?
Area (A) = 439.16 mm²
Force (F) = 145 N
Calculating Stress
=> Convert the Area (A) 439.16 mm² to "square meter (m²)"
F = 439.16 ÷ 1000000
F = 0.000439 m²
Substitute the value into the formula
Stress (σ) = 330175.790145 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 175 ÷ 1000
r = 0.175 m
=> convert the L1 value to "meters (m)" unit
r = 174.5 ÷ 1000
r = 0.1745 m
ΔL = 0.1745 - 0.175
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.002857
As we got all the values we can calculate Young's Modulus
E = -115561526.550688 Pa
∴ Youngs's Modulus (E) = -115561526.550688 Pa
Young's Modulus of L1 = 175 mm, L2 = 174.5 mm, A = 439.16 mm² and F = 145 N results in different Units
Values | Units |
---|---|
-115561526.550688 | pascals (Pa) |
-16760.778019 | pounds per square inch (psi) |
-1155615.265507 | hectopascals (hPa) |
-115561.526551 | kilopascals (kPa) |
-115.561527 | megapascal (MPa) |
-2413502.482011 | 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 176 mm, final length 175.5 mm, area 440.16 mm² and force 146 N
- Young's modulus of initial length 177 mm, final length 176.5 mm, area 441.16 mm² and force 147 N
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- Young's modulus of initial length 179 mm, final length 178.5 mm, area 443.16 mm² and force 149 N
- Young's modulus of initial length 180 mm, final length 179.5 mm, area 444.16 mm² and force 150 N