Pendulum in Lift

Pendulum in Lift

## Lift Moving Upward with Acceleration a

### Formula

$$T=2\pi\sqrt{\frac{l}{g+a}}$$

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## Lift Moving Downward with Acceleration a

### Formula

$$T=2\pi\sqrt{\frac{l}{g-a}}$$

### Terminologies

- a → Acceleration of lift.

- l → Length of pendulum.

### Conditions / Special Cases

Free fall:

$$a=g$$

$$T\rightarrow\infty$$

### Usage

- Used in non-inertial frame problems.