Calculate Young's Modulus of L<sub>1</sub> = 620 mm, L<sub>2</sub> = 619.5 mm, A = 884.1600000000001 mm² and F = 590 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 620 mm, L2 = 619.5 mm, A = 884.1600000000001 mm² and F = 590 N i.e. -827452044.878846 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 620 mm, L2 = 619.5 mm, A = 884.1600000000001 mm² and F = 590 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) = 620 mm
Final Length (L2) = 619.5 mm
Change in Length (ΔL) = ?
Area (A) = 884.1600000000001 mm²
Force (F) = 590 N
Calculating Stress
=> Convert the Area (A) 884.1600000000001 mm² to "square meter (m²)"
F = 884.1600000000001 ÷ 1000000
F = 0.000884 m²
Substitute the value into the formula
Stress (σ) = 667300.036193 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 620 ÷ 1000
r = 0.62 m
=> convert the L1 value to "meters (m)" unit
r = 619.5 ÷ 1000
r = 0.6195 m
ΔL = 0.6195 - 0.62
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.000806
As we got all the values we can calculate Young's Modulus
E = -827452044.878846 Pa
∴ Youngs's Modulus (E) = -827452044.878846 Pa
Young's Modulus of L1 = 620 mm, L2 = 619.5 mm, A = 884.1600000000001 mm² and F = 590 N results in different Units
| Values | Units |
|---|---|
| -827452044.878846 | pascals (Pa) |
| -120011.74145 | pounds per square inch (psi) |
| -8274520.448788 | hectopascals (hPa) |
| -827452.044879 | kilopascals (kPa) |
| -827.452045 | megapascal (MPa) |
| -17281335.957295 | 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 621 mm, final length 620.5 mm, area 885.1600000000001 mm² and force 591 N
- Young's modulus of initial length 622 mm, final length 621.5 mm, area 886.1600000000001 mm² and force 592 N
- Young's modulus of initial length 623 mm, final length 622.5 mm, area 887.1600000000001 mm² and force 593 N
- Young's modulus of initial length 624 mm, final length 623.5 mm, area 888.1600000000001 mm² and force 594 N
- Young's modulus of initial length 625 mm, final length 624.5 mm, area 889.1600000000001 mm² and force 595 N