Calculate Young's Modulus of L<sub>1</sub> = 172 mm, L<sub>2</sub> = 171.5 mm, A = 436.16 mm² and F = 142 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 172 mm, L2 = 171.5 mm, A = 436.16 mm² and F = 142 N i.e. -111995597.945714 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 172 mm, L2 = 171.5 mm, A = 436.16 mm² and F = 142 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) = 172 mm
Final Length (L2) = 171.5 mm
Change in Length (ΔL) = ?
Area (A) = 436.16 mm²
Force (F) = 142 N
Calculating Stress
=> Convert the Area (A) 436.16 mm² to "square meter (m²)"
F = 436.16 ÷ 1000000
F = 0.000436 m²
Substitute the value into the formula
Stress (σ) = 325568.598679 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 172 ÷ 1000
r = 0.172 m
=> convert the L1 value to "meters (m)" unit
r = 171.5 ÷ 1000
r = 0.1715 m
ΔL = 0.1715 - 0.172
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.002907
As we got all the values we can calculate Young's Modulus
E = -111995597.945714 Pa
∴ Youngs's Modulus (E) = -111995597.945714 Pa
Young's Modulus of L1 = 172 mm, L2 = 171.5 mm, A = 436.16 mm² and F = 142 N results in different Units
| Values | Units |
|---|---|
| -111995597.945714 | pascals (Pa) |
| -16243.583936 | pounds per square inch (psi) |
| -1119955.979457 | hectopascals (hPa) |
| -111995.597946 | kilopascals (kPa) |
| -111.995598 | megapascal (MPa) |
| -2339028.063096 | 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 173 mm, final length 172.5 mm, area 437.16 mm² and force 143 N
- Young's modulus of initial length 174 mm, final length 173.5 mm, area 438.16 mm² and force 144 N
- Young's modulus of initial length 175 mm, final length 174.5 mm, area 439.16 mm² and force 145 N
- 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