Calculate Young's Modulus of L<sub>1</sub> = 130 mm, L<sub>2</sub> = 129.5 mm, A = 394.16 mm² and F = 100 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 130 mm, L2 = 129.5 mm, A = 394.16 mm² and F = 100 N i.e. -65963060.686016 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 130 mm, L2 = 129.5 mm, A = 394.16 mm² and F = 100 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) = 130 mm
Final Length (L2) = 129.5 mm
Change in Length (ΔL) = ?
Area (A) = 394.16 mm²
Force (F) = 100 N
Calculating Stress
=> Convert the Area (A) 394.16 mm² to "square meter (m²)"
F = 394.16 ÷ 1000000
F = 0.000394 m²
Substitute the value into the formula
Stress (σ) = 253704.079562 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 130 ÷ 1000
r = 0.13 m
=> convert the L1 value to "meters (m)" unit
r = 129.5 ÷ 1000
r = 0.1295 m
ΔL = 0.1295 - 0.13
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003846
As we got all the values we can calculate Young's Modulus
E = -65963060.686016 Pa
∴ Youngs's Modulus (E) = -65963060.686016 Pa
Young's Modulus of L1 = 130 mm, L2 = 129.5 mm, A = 394.16 mm² and F = 100 N results in different Units
Values | Units |
---|---|
-65963060.686016 | pascals (Pa) |
-9567.130607 | pounds per square inch (psi) |
-659630.60686 | hectopascals (hPa) |
-65963.060686 | kilopascals (kPa) |
-65.963061 | megapascal (MPa) |
-1377638.522427 | pounds per square foot (lbs/ft²) |
Similar Young's Modulus Calculation
Here are some examples of Young's Modulus Calculation
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- Young's modulus of initial length 132 mm, final length 131.5 mm, area 396.16 mm² and force 102 N
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