Answer to Question #158321 in Civil and Environmental Engineering for Bonevie tutor

Question

Simple harmonic motion

Supposed the lowest point of the Ferris wheel is 1.5 meters off the ground,

and its radius is 15 m. It makes one complete revolution every 30 seconds.

Starting at the lowest point, find a cosine function that gives the height

above the ground of a riding child in terms of time t in seconds. 

Answer 1

a-value radius 15m(D=30)

b- the period 30s

b=0.2094

c- there is none in the cosine pattern

d-the centre of the wheel is 1.5 m above the ground ,so that will be the midline

the cosine pattern is upside down so you need to put a negative in front

h(t)=-15cos0.2094 t+1.5