Calculate Young's Modulus of L<sub>1</sub> = 94 mm, L<sub>2</sub> = 93.5 mm, A = 358.16 mm² and F = 64 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 94 mm, L2 = 93.5 mm, A = 358.16 mm² and F = 64 N i.e. -33593924.503015 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 94 mm, L2 = 93.5 mm, A = 358.16 mm² and F = 64 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) = 94 mm
Final Length (L2) = 93.5 mm
Change in Length (ΔL) = ?
Area (A) = 358.16 mm²
Force (F) = 64 N
Calculating Stress
=> Convert the Area (A) 358.16 mm² to "square meter (m²)"
F = 358.16 ÷ 1000000
F = 0.000358 m²
Substitute the value into the formula
Stress (σ) = 178691.087782 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 94 ÷ 1000
r = 0.094 m
=> convert the L1 value to "meters (m)" unit
r = 93.5 ÷ 1000
r = 0.0935 m
ΔL = 0.0935 - 0.094
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005319
As we got all the values we can calculate Young's Modulus
E = -33593924.503015 Pa
∴ Youngs's Modulus (E) = -33593924.503015 Pa
Young's Modulus of L1 = 94 mm, L2 = 93.5 mm, A = 358.16 mm² and F = 64 N results in different Units
| Values | Units |
|---|---|
| -33593924.503015 | pascals (Pa) |
| -4872.385544 | pounds per square inch (psi) |
| -335939.24503 | hectopascals (hPa) |
| -33593.924503 | kilopascals (kPa) |
| -33.593925 | megapascal (MPa) |
| -701609.113245 | 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 95 mm, final length 94.5 mm, area 359.16 mm² and force 65 N
- Young's modulus of initial length 96 mm, final length 95.5 mm, area 360.16 mm² and force 66 N
- 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