Calculate Young's Modulus of L<sub>1</sub> = 69 mm, L<sub>2</sub> = 68.5 mm, A = 333.16 mm² and F = 39 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 69 mm, L2 = 68.5 mm, A = 333.16 mm² and F = 39 N i.e. -16154400.28815 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 69 mm, L2 = 68.5 mm, A = 333.16 mm² and F = 39 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) = 69 mm
Final Length (L2) = 68.5 mm
Change in Length (ΔL) = ?
Area (A) = 333.16 mm²
Force (F) = 39 N
Calculating Stress
=> Convert the Area (A) 333.16 mm² to "square meter (m²)"
F = 333.16 ÷ 1000000
F = 0.000333 m²
Substitute the value into the formula
Stress (σ) = 117060.871653 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 69 ÷ 1000
r = 0.069 m
=> convert the L1 value to "meters (m)" unit
r = 68.5 ÷ 1000
r = 0.0685 m
ΔL = 0.0685 - 0.069
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.007246
As we got all the values we can calculate Young's Modulus
E = -16154400.28815 Pa
∴ Youngs's Modulus (E) = -16154400.28815 Pa
Young's Modulus of L1 = 69 mm, L2 = 68.5 mm, A = 333.16 mm² and F = 39 N results in different Units
Values | Units |
---|---|
-16154400.28815 | pascals (Pa) |
-2342.997063 | pounds per square inch (psi) |
-161544.002881 | hectopascals (hPa) |
-16154.400288 | kilopascals (kPa) |
-16.1544 | megapascal (MPa) |
-337384.650018 | 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 70 mm, final length 69.5 mm, area 334.16 mm² and force 40 N
- Young's modulus of initial length 71 mm, final length 70.5 mm, area 335.16 mm² and force 41 N
- Young's modulus of initial length 72 mm, final length 71.5 mm, area 336.16 mm² and force 42 N
- Young's modulus of initial length 73 mm, final length 72.5 mm, area 337.16 mm² and force 43 N
- Young's modulus of initial length 74 mm, final length 73.5 mm, area 338.16 mm² and force 44 N