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kylie boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for multiple rotations. the ferris wheel's radius is 11 meters long and the center of the ferris wheel is 14 meters above the ground. imagine an angle with its vertex at the ferris wheel's center that subtends the path jane has traveled. the ferris wheel rotates at a constant rate so that the angle sweeps out 5 radians per minute. how long does it take for kylie to complete one full rotation around the ferris wheel?



Answer :

it takes 1.265 minutes for Kylie to complete one full rotation around the Ferris wheel.

Given, the Ferris wheel has a radius of 11 m.

The Angular speed of the Ferris wheel is 5 radians/ minute.

To solve this question, we first need to convert the angular speed and angular distance to linear speed and linear distance.

Angular quantity* radius= Linear quantity

Therefore, linear speed(V)= radius * angular speed

= 11*5 m/sec

=55 m/sec

Angular distance needed to be covered to complete one full rotation= 2π

Therefore, linear distance= radius* angular distance

= 11*2π

=22π

Time taken to complete on rotation= distance/ speed

= [tex]\frac{22}{55}[/tex]*π minutes

= [tex]\frac{2}{5}[/tex]*π minutes

= 1.265 min

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