Lesson 2

Explore

In Discover you saw that each counterclockwise rotation of the terminal arm increases the angle measurement by 2π, or 360°. For each clockwise rotation of the terminal arm, the angle measurement decreases by 2π, or 360°. In Try This 2 you will apply this understanding to determine the distance travelled by a horse.

Try This 2

Sometimes a horse walker is used for horses that need rehabilitation. The horses are tied to a pole at the centre, and they walk at a constant rate around the circular horse walker.

A horse walker has a radius of 6 m. The horses take 12 s to walk 1 revolution.

1. What distance does a horse walk after 1 revolution? Place this information in a table similar to the one shown.
2. What distance, and through what central angle, will the white horse travel after the times specified in the table?
3. Complete the rest of the table.
   
   

   	12 s	24 s	36 s
   Number of Revolutions	1
   Distance Travelled by White Horse to the Nearest Tenth of a Metre	37.7
   Diagram of Rotational Angle in Standard Position
   Angle of Rotation in Degrees	360°
   Angle of Rotation in Radians	2π

4. How did you determine the distance travelled by the horse? Explain your process.

5. Explain how you found the rotational angle.
6. How do the terminal arms for each revolution compare?

 Save your responses in your course folder.