Calculate Young's Modulus of L<sub>1</sub> = 58 mm, L<sub>2</sub> = 57.5 mm, A = 322.16 mm² and F = 28 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 58 mm, L2 = 57.5 mm, A = 322.16 mm² and F = 28 N i.e. -10081946.858704 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 58 mm, L2 = 57.5 mm, A = 322.16 mm² and F = 28 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) = 58 mm
Final Length (L2) = 57.5 mm
Change in Length (ΔL) = ?
Area (A) = 322.16 mm²
Force (F) = 28 N
Calculating Stress
=> Convert the Area (A) 322.16 mm² to "square meter (m²)"
F = 322.16 ÷ 1000000
F = 0.000322 m²
Substitute the value into the formula
Stress (σ) = 86913.334989 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 58 ÷ 1000
r = 0.058 m
=> convert the L1 value to "meters (m)" unit
r = 57.5 ÷ 1000
r = 0.0575 m
ΔL = 0.0575 - 0.058
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.008621
As we got all the values we can calculate Young's Modulus
E = -10081946.858704 Pa
∴ Youngs's Modulus (E) = -10081946.858704 Pa
Young's Modulus of L1 = 58 mm, L2 = 57.5 mm, A = 322.16 mm² and F = 28 N results in different Units
Values | Units |
---|---|
-10081946.858704 | pascals (Pa) |
-1462.262384 | pounds per square inch (psi) |
-100819.468587 | hectopascals (hPa) |
-10081.946859 | kilopascals (kPa) |
-10.081947 | megapascal (MPa) |
-210561.460144 | 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 59 mm, final length 58.5 mm, area 323.16 mm² and force 29 N
- Young's modulus of initial length 60 mm, final length 59.5 mm, area 324.16 mm² and force 30 N
- Young's modulus of initial length 61 mm, final length 60.5 mm, area 325.16 mm² and force 31 N
- Young's modulus of initial length 62 mm, final length 61.5 mm, area 326.16 mm² and force 32 N
- Young's modulus of initial length 63 mm, final length 62.5 mm, area 327.16 mm² and force 33 N