Power Delivered by Force

Rarely Tested

Power Delivered by Force

### Formula

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

### Expanded Form

$$P=Fv\cos\theta$$

### Terminologies

- P β†’ Power.

- F β†’ Force.

- v β†’ Velocity.

- ΞΈ β†’ Angle between force and velocity.

### Conditions / Special Cases

Maximum power:

$$\theta=0^\circ$$

$$P=Fv$$

Zero power:

$$\theta=90^\circ$$

$$P=0$$

### Usage

- Used in moving body and machine problems.

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