Question

While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 12 m, and you use your watch to find that each loop around takes 26 s.What is the magnitude of your acceleration

Answer 1

a = 0.701 m / s²

Step-by-step explanation:

As the game is spinning the acceleration is centripetal

a = v² /r

The park system after a small period of acceleration goes at a constant speed, for which we can use the relations of the uniform motion

v = d / t

the distance of a circle is

d = 2π r

we substitute

a = (2π r / t) ² / r

a = 4 pi² r / t²

let's calculate

a = 4 pi² 12 / 26²

a = 0.701 m / s²