Calculate Young's Modulus of L<sub>1</sub> = 50 mm, L<sub>2</sub> = 49.5 mm, A = 314.16 mm² and F = 20 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 50 mm, L2 = 49.5 mm, A = 314.16 mm² and F = 20 N i.e. -6366182.836771 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 50 mm, L2 = 49.5 mm, A = 314.16 mm² and F = 20 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) = 50 mm
Final Length (L2) = 49.5 mm
Change in Length (ΔL) = ?
Area (A) = 314.16 mm²
Force (F) = 20 N
Calculating Stress
=> Convert the Area (A) 314.16 mm² to "square meter (m²)"
F = 314.16 ÷ 1000000
F = 0.000314 m²
Substitute the value into the formula
Stress (σ) = 63661.828368 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 50 ÷ 1000
r = 0.05 m
=> convert the L1 value to "meters (m)" unit
r = 49.5 ÷ 1000
r = 0.0495 m
ΔL = 0.0495 - 0.05
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.01
As we got all the values we can calculate Young's Modulus
E = -6366182.836771 Pa
∴ Youngs's Modulus (E) = -6366182.836771 Pa
Young's Modulus of L1 = 50 mm, L2 = 49.5 mm, A = 314.16 mm² and F = 20 N results in different Units
Values | Units |
---|---|
-6366182.836771 | pascals (Pa) |
-923.336516 | pounds per square inch (psi) |
-63661.828368 | hectopascals (hPa) |
-6366.182837 | kilopascals (kPa) |
-6.366183 | megapascal (MPa) |
-132957.728546 | 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 51 mm, final length 50.5 mm, area 315.16 mm² and force 21 N
- Young's modulus of initial length 52 mm, final length 51.5 mm, area 316.16 mm² and force 22 N
- Young's modulus of initial length 53 mm, final length 52.5 mm, area 317.16 mm² and force 23 N
- Young's modulus of initial length 54 mm, final length 53.5 mm, area 318.16 mm² and force 24 N
- Young's modulus of initial length 55 mm, final length 54.5 mm, area 319.16 mm² and force 25 N