Question

A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. a) If passengers board the lowest car at a height of 3 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. [2T] b) If a ride on the Ferris wheel lasts for 8 minutes, how far does a passenger travel? [2A

Answer 1

A.

Using the basic equation, $x(t) = A \sin (\omega t)$ ​​​​​​

Substituting, $x(t) = 3\sin (0.2 t) \rightarrow Answer$ ​​​​​​

B.

Linear Velocity, ​​​​​​

21 Rw 18.5 * 0.2 3.7m/s

Displacement, $s=vt = 3.7 *8*60 =1776 m\rightarrow Answer$