A wheel on the road

A cart has wheels of radius $0.3$ m, which turn $180$ times each minute. You will find how far it goes in one turn, its angular speed, its speed, and the turns and the time for a trip of $1500$ m.

The idea. One turn moves the cart $2\pi r$. The angular speed is $\omega = \frac{2\pi n}{60}$ rad/s, and the speed is $v = r\omega$.

Your tasks.

1. Set per_turn to the distance moved in one turn.
2. Set omega to the angular speed in radians per second.
3. Set speed to the speed of the cart in metres per second.
4. Set turns to the turns needed for the trip, and time_s to the time it takes in seconds.