PHYSICAL QUANTITY

Extension: formulas and units of measurement

Extension: symbol Δl, unit m. Formulas and explanations for Mechanics.

\Delta lΔl\text{м}meter

KEY CONNECTIONS

Formulas

\Delta l=l-l_0Δl = l − l₀

F_{\text{упр}}=k\left|\Delta l\right|Fупр = k|Δl|

\varepsilon=\frac{\Delta l}{l_0}ε = Δl / l₀

\frac{\sigma}{E}=\frac{\Delta l}{l_0}σ / E = Δl / l₀

NOTATION

\Delta l: Elongation is a change in the length of a body during deformation.
l: Length is the linear dimension of a body or area of space.
l_0: Initial length - the length of the body before deformation.
F_{\text{упр}}: Elastic force is a force that occurs when a body deforms.
k: The stiffness of a spring is a characteristic of its resistance to deformation.
\varepsilon: Relative deformation is the proportion of change in length compared to the initial length.
\sigma: Mechanical stress is the internal force per unit cross-sectional area.
E: Young's modulus is a characteristic of a material's resistance to elastic deformation.

THEORY

PRACTICE