Calculate Young's Modulus of L<sub>1</sub> = 127 mm, L<sub>2</sub> = 126.5 mm, A = 391.16 mm² and F = 97 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 127 mm, L2 = 126.5 mm, A = 391.16 mm² and F = 97 N i.e. -62987012.987013 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 127 mm, L2 = 126.5 mm, A = 391.16 mm² and F = 97 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) = 127 mm
Final Length (L2) = 126.5 mm
Change in Length (ΔL) = ?
Area (A) = 391.16 mm²
Force (F) = 97 N
Calculating Stress
=> Convert the Area (A) 391.16 mm² to "square meter (m²)"
F = 391.16 ÷ 1000000
F = 0.000391 m²
Substitute the value into the formula
Stress (σ) = 247980.366091 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 127 ÷ 1000
r = 0.127 m
=> convert the L1 value to "meters (m)" unit
r = 126.5 ÷ 1000
r = 0.1265 m
ΔL = 0.1265 - 0.127
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.003937
As we got all the values we can calculate Young's Modulus
E = -62987012.987013 Pa
∴ Youngs's Modulus (E) = -62987012.987013 Pa
Young's Modulus of L1 = 127 mm, L2 = 126.5 mm, A = 391.16 mm² and F = 97 N results in different Units
Values | Units |
---|---|
-62987012.987013 | pascals (Pa) |
-9135.491494 | pounds per square inch (psi) |
-629870.12987 | hectopascals (hPa) |
-62987.012987 | kilopascals (kPa) |
-62.987013 | megapascal (MPa) |
-1315483.766234 | 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 128 mm, final length 127.5 mm, area 392.16 mm² and force 98 N
- Young's modulus of initial length 129 mm, final length 128.5 mm, area 393.16 mm² and force 99 N
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