Calculate Young's Modulus of L<sub>1</sub> = 122 mm, L<sub>2</sub> = 121.5 mm, A = 386.16 mm² and F = 92 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 122 mm, L2 = 121.5 mm, A = 386.16 mm² and F = 92 N i.e. -58131344.520406 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 122 mm, L2 = 121.5 mm, A = 386.16 mm² and F = 92 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) = 122 mm
Final Length (L2) = 121.5 mm
Change in Length (ΔL) = ?
Area (A) = 386.16 mm²
Force (F) = 92 N
Calculating Stress
=> Convert the Area (A) 386.16 mm² to "square meter (m²)"
F = 386.16 ÷ 1000000
F = 0.000386 m²
Substitute the value into the formula
Stress (σ) = 238243.215248 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 122 ÷ 1000
r = 0.122 m
=> convert the L1 value to "meters (m)" unit
r = 121.5 ÷ 1000
r = 0.1215 m
ΔL = 0.1215 - 0.122
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.004098
As we got all the values we can calculate Young's Modulus
E = -58131344.520406 Pa
∴ Youngs's Modulus (E) = -58131344.520406 Pa
Young's Modulus of L1 = 122 mm, L2 = 121.5 mm, A = 386.16 mm² and F = 92 N results in different Units
Values | Units |
---|---|
-58131344.520406 | pascals (Pa) |
-8431.236507 | pounds per square inch (psi) |
-581313.445204 | hectopascals (hPa) |
-58131.34452 | kilopascals (kPa) |
-58.131345 | megapascal (MPa) |
-1214073.130309 | 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 123 mm, final length 122.5 mm, area 387.16 mm² and force 93 N
- Young's modulus of initial length 124 mm, final length 123.5 mm, area 388.16 mm² and force 94 N
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