Calculate Young's Modulus of L<sub>1</sub> = 98 mm, L<sub>2</sub> = 97.5 mm, A = 362.16 mm² and F = 68 N
Use the free Young Modulus Calculator to get the Youngs Modulus of L1 = 98 mm, L2 = 97.5 mm, A = 362.16 mm² and F = 68 N i.e. -36801413.739783 Pa easily along with detailed steps.
Ex: 10, 167, 48, 34.5 or 90
Detailed Procedure to find Young's Modulus of L1 = 98 mm, L2 = 97.5 mm, A = 362.16 mm² and F = 68 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) = 98 mm
Final Length (L2) = 97.5 mm
Change in Length (ΔL) = ?
Area (A) = 362.16 mm²
Force (F) = 68 N
Calculating Stress
=> Convert the Area (A) 362.16 mm² to "square meter (m²)"
F = 362.16 ÷ 1000000
F = 0.000362 m²
Substitute the value into the formula
Stress (σ) = 187762.314999 Pa
Calculating Strain :
=> convert the L1 value to "meters (m)" unit
r = 98 ÷ 1000
r = 0.098 m
=> convert the L1 value to "meters (m)" unit
r = 97.5 ÷ 1000
r = 0.0975 m
ΔL = 0.0975 - 0.098
ΔL = -0.0005 m
Substitute the value into the formula
Strain (S) = -0.005102
As we got all the values we can calculate Young's Modulus
E = -36801413.739783 Pa
∴ Youngs's Modulus (E) = -36801413.739783 Pa
Young's Modulus of L1 = 98 mm, L2 = 97.5 mm, A = 362.16 mm² and F = 68 N results in different Units
| Values | Units |
|---|---|
| -36801413.739783 | pascals (Pa) |
| -5337.592406 | pounds per square inch (psi) |
| -368014.137398 | hectopascals (hPa) |
| -36801.41374 | kilopascals (kPa) |
| -36.801414 | megapascal (MPa) |
| -768597.525955 | 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 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
- 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