Easy# Spring Constant: Stress-Strain Equation

CLMECH-ANECO1

Hook's law, $F=-k\,\Delta x$, describes the force exerted by a spring in terms of the spring constant, $k$ and how much the spring is stretched or compressed, $\Delta x$. Using the stress - strain equation, express the spring constant in terms of:

- Young's modulus, $Y$
- the unstretched length of the spring, $L$
- the cross-sectional area of the wire that is coiled to make the spring, $A$