Calculate Young's Modulus of L<sub>1</sub> = 79 mm, L<sub>2</sub> = 78.5 mm, A = 343.16 mm² and F = 49 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 79 mm, L2 = 78.5 mm, A = 343.16 mm² and F = 49 N i.e. -22560904.534328 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 79 mm, L2 = 78.5 mm, A = 343.16 mm² and F = 49 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) = 79 mm
Final Length (L2) = 78.5 mm
Change in Length (ΔL) = ?
Area (A) = 343.16 mm²
Force (F) = 49 N
Calculating Stress
=> Convert the Area (A) 343.16 mm² to "square meter (m²)"
F = 343.16 ÷ 1000000
F = 0.000343 m²
Substitute the value into the formula
Stress (σ) = 142790.535027 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 79 ÷ 1000
r = 0.079 m
=> convert the L1 value to "meters (m)" unit
r = 78.5 ÷ 1000
r = 0.0785 m
ΔL = 0.0785 - 0.079
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.006329
As we got all the values we can calculate Young's Modulus
E = -22560904.534328 Pa
∴ Youngs's Modulus (E) = -22560904.534328 Pa
Young's Modulus of L1 = 79 mm, L2 = 78.5 mm, A = 343.16 mm² and F = 49 N results in different Units
Values | Units |
---|---|
-22560904.534328 | pascals (Pa) |
-3272.181704 | pounds per square inch (psi) |
-225609.045343 | hectopascals (hPa) |
-22560.904534 | kilopascals (kPa) |
-22.560905 | megapascal (MPa) |
-471184.491199 | 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 80 mm, final length 79.5 mm, area 344.16 mm² and force 50 N
- Young's modulus of initial length 81 mm, final length 80.5 mm, area 345.16 mm² and force 51 N
- Young's modulus of initial length 82 mm, final length 81.5 mm, area 346.16 mm² and force 52 N
- Young's modulus of initial length 83 mm, final length 82.5 mm, area 347.16 mm² and force 53 N
- Young's modulus of initial length 84 mm, final length 83.5 mm, area 348.16 mm² and force 54 N