Question

Pre-calculus/Trig. "Linear velocity"

Suppose that there are two carousels at the same amusement park. Carousel A has a radius of 5m and rotates with an angular velocity w=pi/8(rad/sec). Carousel B has radius 7.5 and w=pi/9(rad/sec).

Riding a horse on which of these would cause a park guest to experience the greatest linear velocity?

Answer 1

\[ \vec v = \vec \omega \times \vec r\]
where \omega is angular velocity and r is radius, v being linear velocity.

Answer 2

Would you recommend writing my answer in minutes or seconds?

Answer 3

seconds!!

Answer 4

thanks!