Spring Constant

Spring Constant

### Formula

$$F=-kx$$

### Rearranged Form

$$k=\frac{F}{x}$$

### Terminologies

- k → Spring constant.

- F → Restoring force.

- x → Extension.

### SI Unit

$$Nm^{-1}$$

### Dimensions

$$[k]=[MT^{-2}]$$

### Conditions / Special Cases

Higher k means stiffer spring.

### Usage

- Used in elasticity and SHM problems.