Calculate Young's Modulus of L<sub>1</sub> = 334 mm, L<sub>2</sub> = 333.5 mm, A = 598.1600000000001 mm² and F = 304 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 334 mm, L2 = 333.5 mm, A = 598.1600000000001 mm² and F = 304 N i.e. -339494449.645579 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 334 mm, L2 = 333.5 mm, A = 598.1600000000001 mm² and F = 304 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) = 334 mm
Final Length (L2) = 333.5 mm
Change in Length (ΔL) = ?
Area (A) = 598.1600000000001 mm²
Force (F) = 304 N
Calculating Stress
=> Convert the Area (A) 598.1600000000001 mm² to "square meter (m²)"
F = 598.1600000000001 ÷ 1000000
F = 0.000598 m²
Substitute the value into the formula
Stress (σ) = 508225.22402 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 334 ÷ 1000
r = 0.334 m
=> convert the L1 value to "meters (m)" unit
r = 333.5 ÷ 1000
r = 0.3335 m
ΔL = 0.3335 - 0.334
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001497
As we got all the values we can calculate Young's Modulus
E = -339494449.645579 Pa
∴ Youngs's Modulus (E) = -339494449.645579 Pa
Young's Modulus of L1 = 334 mm, L2 = 333.5 mm, A = 598.1600000000001 mm² and F = 304 N results in different Units
| Values | Units |
|---|---|
| -339494449.645579 | pascals (Pa) |
| -49239.494139 | pounds per square inch (psi) |
| -3394944.496456 | hectopascals (hPa) |
| -339494.449646 | kilopascals (kPa) |
| -339.49445 | megapascal (MPa) |
| -7090341.580848 | 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 335 mm, final length 334.5 mm, area 599.1600000000001 mm² and force 305 N
- Young's modulus of initial length 336 mm, final length 335.5 mm, area 600.1600000000001 mm² and force 306 N
- Young's modulus of initial length 337 mm, final length 336.5 mm, area 601.1600000000001 mm² and force 307 N
- Young's modulus of initial length 338 mm, final length 337.5 mm, area 602.1600000000001 mm² and force 308 N
- Young's modulus of initial length 339 mm, final length 338.5 mm, area 603.1600000000001 mm² and force 309 N