Question

Define force constant. Give its unit and dimensional formula.

Answer 1

1. Spring Constant or force constant is defined as the applied force if the displacement in the spring is unity.
2. Force constant is denoted by ‘k’.
3. Thus, $forcecons\tan t,k=force/displacement$.
4. Its unit is newton/meter.
5. The dimensional formula of k is $\left[k\right]=\left[F\right]/\left[x\right]=\frac{ML{T}^{-2}}{L}=M{L}^{-2}{T}^{-2}$.