A Ferris wheel is 28 meters in diameter and the bottom of th

A Ferris wheel is 28 meters in diameter and the bottom of the Ferris wheel is 4 meters above the ground. You and the bottom of the Ferris wheel is 4 meters above the ground. You board the Ferris wheel at the 3 o\'clock position. a. The wheel completes one fal revolution every 4 minutes What is the angular speed (n rndians per minute) that the Farris wheel s roaring? (pi)/2 radians per minute Preview formula that gives the angle measure (in radians) swept out from the 3 o\'clock position, a, in terms of the number of minutes elapsed since you boarded the Perris whe Preview c. Define a function that gives your height above the ground (in meters) in terms of the number of minutes elapsed since you boarded the Ferris wheel, t N Preview

Solution

Ans(a):
you already found the correct period which is 2pi/4 or pi/2

Ans(b):
Angle measure(in radians swept out will be given by pi/2*t. Where t is number of minutes

Ans(c):
Sinsuidal function is given by
f(t)=a*sin(b(x-h))+k
where a= amplitude= 28/2=14
b=period=pi/2
h= horizontal shift=0
k= vertical shift= 4
so the required function is
f(t)=14*sin(pi/t*t)+4