Convert Radian to Revolution

Radian [rad]

Revolution [rev]

Unit definitions

The radian is the unit of angle in the SI. A full circle is $2\pi$ radians, where $\pi$ is approximately $3.141\,592\,653\,589\,793$.

One revolution is equal to $2\pi$ radians (i.e., a full circle).

$$\text{Angle}_{\text{rev}} = \frac{\text{Angle}_{\text{rad}}}{3.141592653589793 \cdot 2}$$

Convert $40.0\ \text{rad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{40.0}{3.141592653589793 \cdot 2}$$

$$\text{Angle}_{\text{rev}} = 6.366198$$

$$\therefore \ 40.0\ \text{rad} = 6.366198 \ \text{rev}$$

Convert $90.0\ \text{rad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{90.0}{3.141592653589793 \cdot 2}$$

$$\text{Angle}_{\text{rev}} = 14.323945$$

$$\therefore \ 90.0\ \text{rad} = 14.323945 \ \text{rev}$$

Convert $110.0\ \text{rad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{110.0}{3.141592653589793 \cdot 2}$$

$$\text{Angle}_{\text{rev}} = 17.507044$$

$$\therefore \ 110.0\ \text{rad} = 17.507044 \ \text{rev}$$

Convert $130.0\ \text{rad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{130.0}{3.141592653589793 \cdot 2}$$

$$\text{Angle}_{\text{rev}} = 20.690143$$

$$\therefore \ 130.0\ \text{rad} = 20.690143 \ \text{rev}$$

Convert $175.0\ \text{rad}$ to $\text{rev}$.

$$\text{Angle}_{\text{rev}} = \frac{175.0}{3.141592653589793 \cdot 2}$$

$$\text{Angle}_{\text{rev}} = 27.852115$$

$$\therefore \ 175.0\ \text{rad} = 27.852115 \ \text{rev}$$