Power

Power

Power is the rate of doing work or rate of energy transfer.

### Formula

$$P=\frac{W}{t}$$

### Instantaneous Power

$$P=\vec{F}\cdot\vec{v}$$

### Terminologies

- P → Power.

- W → Work done.

- t → Time.

- v → Velocity.

### SI Unit

$$Watt=Js^{-1}$$

### Dimensions

$$[P]=[ML^2T^{-3}]$$

### Conditions / Special Cases

For parallel force and velocity:

$$P=Fv$$

For perpendicular force and velocity:

$$P=0$$

### Usage

- Used in power calculations and machine efficiency.