Calculate Young's Modulus of L<sub>1</sub> = 96 mm, L<sub>2</sub> = 95.5 mm, A = 360.16 mm² and F = 66 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 96 mm, L2 = 95.5 mm, A = 360.16 mm² and F = 66 N i.e. -35184362.505553 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 96 mm, L2 = 95.5 mm, A = 360.16 mm² and F = 66 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) = 96 mm
Final Length (L2) = 95.5 mm
Change in Length (ΔL) = ?
Area (A) = 360.16 mm²
Force (F) = 66 N
Calculating Stress
=> Convert the Area (A) 360.16 mm² to "square meter (m²)"
F = 360.16 ÷ 1000000
F = 0.00036 m²
Substitute the value into the formula
Stress (σ) = 183251.88805 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 96 ÷ 1000
r = 0.096 m
=> convert the L1 value to "meters (m)" unit
r = 95.5 ÷ 1000
r = 0.0955 m
ΔL = 0.0955 - 0.096
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005208
As we got all the values we can calculate Young's Modulus
E = -35184362.505553 Pa
∴ Youngs's Modulus (E) = -35184362.505553 Pa
Young's Modulus of L1 = 96 mm, L2 = 95.5 mm, A = 360.16 mm² and F = 66 N results in different Units
Values | Units |
---|---|
-35184362.505553 | pascals (Pa) |
-5103.059014 | pounds per square inch (psi) |
-351843.625056 | hectopascals (hPa) |
-35184.362506 | kilopascals (kPa) |
-35.184363 | megapascal (MPa) |
-734825.410928 | 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 97 mm, final length 96.5 mm, area 361.16 mm² and force 67 N
- Young's modulus of initial length 98 mm, final length 97.5 mm, area 362.16 mm² and force 68 N
- Young's modulus of initial length 99 mm, final length 98.5 mm, area 363.16 mm² and force 69 N
- Young's modulus of initial length 100 mm, final length 99.5 mm, area 364.16 mm² and force 70 N
- Young's modulus of initial length 101 mm, final length 100.5 mm, area 365.16 mm² and force 71 N