Calculate Young's Modulus of L<sub>1</sub> = 532 mm, L<sub>2</sub> = 531.5 mm, A = 796.1600000000001 mm² and F = 502 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 532 mm, L2 = 531.5 mm, A = 796.1600000000001 mm² and F = 502 N i.e. -670880225.080311 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 532 mm, L2 = 531.5 mm, A = 796.1600000000001 mm² and F = 502 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) = 532 mm
Final Length (L2) = 531.5 mm
Change in Length (ΔL) = ?
Area (A) = 796.1600000000001 mm²
Force (F) = 502 N
Calculating Stress
=> Convert the Area (A) 796.1600000000001 mm² to "square meter (m²)"
F = 796.1600000000001 ÷ 1000000
F = 0.000796 m²
Substitute the value into the formula
Stress (σ) = 630526.527331 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 532 ÷ 1000
r = 0.532 m
=> convert the L1 value to "meters (m)" unit
r = 531.5 ÷ 1000
r = 0.5315 m
ΔL = 0.5315 - 0.532
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00094
As we got all the values we can calculate Young's Modulus
E = -670880225.080311 Pa
∴ Youngs's Modulus (E) = -670880225.080311 Pa
Young's Modulus of L1 = 532 mm, L2 = 531.5 mm, A = 796.1600000000001 mm² and F = 502 N results in different Units
| Values | Units |
|---|---|
| -670880225.080311 | pascals (Pa) |
| -97302.924821 | pounds per square inch (psi) |
| -6708802.250803 | hectopascals (hPa) |
| -670880.22508 | kilopascals (kPa) |
| -670.880225 | megapascal (MPa) |
| -14011333.500802 | 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 533 mm, final length 532.5 mm, area 797.1600000000001 mm² and force 503 N
- Young's modulus of initial length 534 mm, final length 533.5 mm, area 798.1600000000001 mm² and force 504 N
- Young's modulus of initial length 535 mm, final length 534.5 mm, area 799.1600000000001 mm² and force 505 N
- Young's modulus of initial length 536 mm, final length 535.5 mm, area 800.1600000000001 mm² and force 506 N
- Young's modulus of initial length 537 mm, final length 536.5 mm, area 801.1600000000001 mm² and force 507 N