A person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function.

Question

h(t)= 21.7 + 19.2 cos 1.4t

In this equation, h(t) is the height above ground in meters, t is the time in minutes.

Find the following. If necessary, round to the nearest hundredth.

Period of h _ minutes

Number of revolutions per minute : __

Amplitude of h : __ meters

Answer 1

We're using this given formula since the given function is in Cosine:

y = A cos (Bx-C) + D ; where |a| is the amplitude

h(t) = 21.7 + 19.2cos1.4t

amplitude: 19.2

Period = 2π

B

= 2π

1.4

= 4.4879 minutes

Number of revolutions = 1 / period or B / 2π

= 1 / 4.4879 minutes

= 0.2228 revolutions/minute