While her kid brother is on a wooden horse at the edge of a merry-go-round, Sheila rides her bicycle parallel?

Question

While her kid brother is on a wooden horse at the edge of a merry-go-round, Sheila rides her bicycle parallel to its edge. The wooden horses have a tangential speed of 6 m/s. Sheila rides at 4 m/s. The radius of the merry-go-round is 8 m. At what time intervals does Sheila encounter her brother, if she rides in the direction of rotation of the merry-go-round?

5.03 s

8.37 s

12.6 s

25.1 s

50.2 s

Answer 1

Angular speed of horse

= 6 / 8

= 0.75 rad / sec.

Angluar speed of cyclist

= 4 / 8

= 0.5 rad / sec.

The two meet every 2pi / (0.75 - 0.5) = 25.1 sec.