Convert Revolution to Radian

Revolution [rev]

Radian [rad]

Unit definitions

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

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

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

Convert $35.0\ \text{rev}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = 35.0 \cdot 2 \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 219.911486$$

$$\therefore \ 35.0\ \text{rev} = 219.911486 \ \text{rad}$$

Convert $85.0\ \text{rev}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = 85.0 \cdot 2 \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 534.070751$$

$$\therefore \ 85.0\ \text{rev} = 534.070751 \ \text{rad}$$

Convert $115.0\ \text{rev}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = 115.0 \cdot 2 \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 722.56631$$

$$\therefore \ 115.0\ \text{rev} = 722.56631 \ \text{rad}$$

Convert $135.0\ \text{rev}$ to $\text{rad}$.

$$\text{Angle}_{\text{rad}} = 135.0 \cdot 2 \cdot 3.141592653589793$$

$$\text{Angle}_{\text{rad}} = 848.230016$$

$$\therefore \ 135.0\ \text{rev} = 848.230016 \ \text{rad}$$

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

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

$$\text{Angle}_{\text{rad}} = 1099.557429$$

$$\therefore \ 175.0\ \text{rev} = 1099.557429 \ \text{rad}$$