Calculate Young's Modulus of L₁ = 303 mm, L₂ = 302.5 mm, A = 567.1600000000001 mm² and F = 273 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,

Step by Step Solution to find Young's Modulus :

Given that,

Stress (σ) = ?

Strain (ε) = ?

Initial Length (L₁) = 303 mm

Final Length (L₂) = 302.5 mm

Change in Length (ΔL) = ?

Area (A) = 567.1600000000001 mm²

Force (F) = 273 N

Calculating Stress

=> Convert the Area (A) 567.1600000000001 mm² to "square meter (m²)"

F = 567.1600000000001 ÷ 1000000

F = 0.000567 m²

Substitute the value into the formula

Stress (σ) = 481345.652021 Pa

Calculating Strain :

=> convert the L₁ value to "meters (m)" unit

r = 303 ÷ 1000

r = 0.303 m

=> convert the L₁ value to "meters (m)" unit

r = 302.5 ÷ 1000

r = 0.3025 m

ΔL = 0.3025 - 0.303

ΔL = -0.0005 m

Substitute the value into the formula

Strain (S) = -0.00165

As we got all the values we can calculate Young's Modulus

E = -291695465.12448 Pa

∴ Youngs's Modulus (E) = -291695465.12448 Pa