Calculate Young's Modulus of L<sub>1</sub> = 330 mm, L<sub>2</sub> = 329.5 mm, A = 594.1600000000001 mm² and F = 300 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 330 mm, L2 = 329.5 mm, A = 594.1600000000001 mm² and F = 300 N i.e. -333243570.755352 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 330 mm, L2 = 329.5 mm, A = 594.1600000000001 mm² and F = 300 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) = 330 mm
Final Length (L2) = 329.5 mm
Change in Length (ΔL) = ?
Area (A) = 594.1600000000001 mm²
Force (F) = 300 N
Calculating Stress
=> Convert the Area (A) 594.1600000000001 mm² to "square meter (m²)"
F = 594.1600000000001 ÷ 1000000
F = 0.000594 m²
Substitute the value into the formula
Stress (σ) = 504914.501144 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 330 ÷ 1000
r = 0.33 m
=> convert the L1 value to "meters (m)" unit
r = 329.5 ÷ 1000
r = 0.3295 m
ΔL = 0.3295 - 0.33
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.001515
As we got all the values we can calculate Young's Modulus
E = -333243570.755352 Pa
∴ Youngs's Modulus (E) = -333243570.755352 Pa
Young's Modulus of L1 = 330 mm, L2 = 329.5 mm, A = 594.1600000000001 mm² and F = 300 N results in different Units
| Values | Units |
|---|---|
| -333243570.755352 | pascals (Pa) |
| -48332.881042 | pounds per square inch (psi) |
| -3332435.707554 | hectopascals (hPa) |
| -333243.570755 | kilopascals (kPa) |
| -333.243571 | megapascal (MPa) |
| -6959791.975226 | 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 331 mm, final length 330.5 mm, area 595.1600000000001 mm² and force 301 N
- Young's modulus of initial length 332 mm, final length 331.5 mm, area 596.1600000000001 mm² and force 302 N
- Young's modulus of initial length 333 mm, final length 332.5 mm, area 597.1600000000001 mm² and force 303 N
- Young's modulus of initial length 334 mm, final length 333.5 mm, area 598.1600000000001 mm² and force 304 N
- Young's modulus of initial length 335 mm, final length 334.5 mm, area 599.1600000000001 mm² and force 305 N