Calculate Young's Modulus of L<sub>1</sub> = 372 mm, L<sub>2</sub> = 371.5 mm, A = 636.1600000000001 mm² and F = 342 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 372 mm, L2 = 371.5 mm, A = 636.1600000000001 mm² and F = 342 N i.e. -399974849.094567 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 372 mm, L2 = 371.5 mm, A = 636.1600000000001 mm² and F = 342 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) = 372 mm
Final Length (L2) = 371.5 mm
Change in Length (ΔL) = ?
Area (A) = 636.1600000000001 mm²
Force (F) = 342 N
Calculating Stress
=> Convert the Area (A) 636.1600000000001 mm² to "square meter (m²)"
F = 636.1600000000001 ÷ 1000000
F = 0.000636 m²
Substitute the value into the formula
Stress (σ) = 537600.603622 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 372 ÷ 1000
r = 0.372 m
=> convert the L1 value to "meters (m)" unit
r = 371.5 ÷ 1000
r = 0.3715 m
ΔL = 0.3715 - 0.372
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001344
As we got all the values we can calculate Young's Modulus
E = -399974849.094567 Pa
∴ Youngs's Modulus (E) = -399974849.094567 Pa
Young's Modulus of L1 = 372 mm, L2 = 371.5 mm, A = 636.1600000000001 mm² and F = 342 N results in different Units
Values | Units |
---|---|
-399974849.094567 | pascals (Pa) |
-58011.432171 | pounds per square inch (psi) |
-3999748.490946 | hectopascals (hPa) |
-399974.849095 | kilopascals (kPa) |
-399.974849 | megapascal (MPa) |
-8353474.72334 | 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 373 mm, final length 372.5 mm, area 637.1600000000001 mm² and force 343 N
- Young's modulus of initial length 374 mm, final length 373.5 mm, area 638.1600000000001 mm² and force 344 N
- Young's modulus of initial length 375 mm, final length 374.5 mm, area 639.1600000000001 mm² and force 345 N
- Young's modulus of initial length 376 mm, final length 375.5 mm, area 640.1600000000001 mm² and force 346 N
- Young's modulus of initial length 377 mm, final length 376.5 mm, area 641.1600000000001 mm² and force 347 N