Question

16

A Ferris wheel with a radius of 25 m makes 2 rotations every minute.
a. State the period of the Ferris wheel.
b. Complete a tables of values showing the height above the ground for 2 rotations of
Ferris wheel by assigning the correct variables
c. Graph 2 rotations of the Ferris wheel. (Hint: Time Vs Height above the platform)
d. State the amplitude of the Ferris wheel.

Answer 1

The period of this Ferris wheel can be calculated as 30 seconds. The amplitude is 25

How to solve for the period.

a. We have 60 seconds in a minute

In a minute it makes 2 rotations. The period = 60 secs / 2 rotations

= 30 seconds

b. We have h = 25 - 25cos
`(25)/(30) t`

25 - 25cos
`(25)/(15) t`

We would have the table in the attachment

d. Amplitude

= max - min / 2

= 50 - 0 / 2

= 25