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.
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.
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 |
How did you determine the distance travelled by the horse? Explain your process.
Save your responses in your course folder.