Olivia and Mason choose horses on the outside of the Merry Go Round while Emma selects a

Question

Olivia and Mason choose horses on the outside of the Merry Go Round while Emma selects a

pretty black horse on the inside who she says will win the race. The radius of the merry go

round from the center panel to the outside horses is 10 feet while the radius to the inside

horses is 5 feet. The ride lasts 3 minutes and all horses move through 12 complete rotations

before stopping. Calculate the angular velocity of each of the three children. Calculate the

linear velocity of each of the three children.

Answer 1

The outside horse travels

(12)2(10)π ft / 3 min

240 ft / 3 min

80π ft / min

 

The inner horse travels

(12)2(5)π ft / 3 min

120π ft / 3 min

40π / min

 

The outer horse travels covers a greater distance at a greater speed in the same amount of time.