Calculate Young's Modulus of L<sub>1</sub> = 101 mm, L<sub>2</sub> = 100.5 mm, A = 365.16 mm² and F = 71 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 101 mm, L2 = 100.5 mm, A = 365.16 mm² and F = 71 N i.e. -39275933.837222 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 101 mm, L2 = 100.5 mm, A = 365.16 mm² and F = 71 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) = 101 mm
Final Length (L2) = 100.5 mm
Change in Length (ΔL) = ?
Area (A) = 365.16 mm²
Force (F) = 71 N
Calculating Stress
=> Convert the Area (A) 365.16 mm² to "square meter (m²)"
F = 365.16 ÷ 1000000
F = 0.000365 m²
Substitute the value into the formula
Stress (σ) = 194435.316026 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 101 ÷ 1000
r = 0.101 m
=> convert the L1 value to "meters (m)" unit
r = 100.5 ÷ 1000
r = 0.1005 m
ΔL = 0.1005 - 0.101
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.00495
As we got all the values we can calculate Young's Modulus
E = -39275933.837222 Pa
∴ Youngs's Modulus (E) = -39275933.837222 Pa
Young's Modulus of L1 = 101 mm, L2 = 100.5 mm, A = 365.16 mm² and F = 71 N results in different Units
| Values | Units |
|---|---|
| -39275933.837222 | pascals (Pa) |
| -5696.491109 | pounds per square inch (psi) |
| -392759.338372 | hectopascals (hPa) |
| -39275.933837 | kilopascals (kPa) |
| -39.275934 | megapascal (MPa) |
| -820277.87819 | 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 102 mm, final length 101.5 mm, area 366.16 mm² and force 72 N
- Young's modulus of initial length 103 mm, final length 102.5 mm, area 367.16 mm² and force 73 N
- Young's modulus of initial length 104 mm, final length 103.5 mm, area 368.16 mm² and force 74 N
- Young's modulus of initial length 105 mm, final length 104.5 mm, area 369.16 mm² and force 75 N
- Young's modulus of initial length 106 mm, final length 105.5 mm, area 370.16 mm² and force 76 N