- #1
supernova1203
- 210
- 0
niagra falls skywheel, a ferris wheel has a diameter of 50.5 m and rotates 1 revolution in 2 minutes. the lowest point on the wheel is 2.5 m from the ground.
This is the equation i have come up with, please tell me if this is right or not, and if it is not please come up with your own equation and show me how you did it.
the base equation is y=aSin(k(x-d))+c
max height = 50.5m
min height = 2.5m
period = 2 mins or 120 seconds
vertical shift = max height + min height/2
=50.5+2.5/2
=53/2
= 26.5 m
vertical stretch = maxpoint -midpoint
or amplitude
=50.5-26.5
=24m
since there is no horizontal shift
y=asin(k(x-d))+c
y=24sin(2x)+26.5
or y=24sin(120x)+26.5 depending on how you look at the period in seconds or minutes.
This is the equation i have come up with, please tell me if this is right or not, and if it is not please come up with your own equation and show me how you did it.
the base equation is y=aSin(k(x-d))+c
max height = 50.5m
min height = 2.5m
period = 2 mins or 120 seconds
vertical shift = max height + min height/2
=50.5+2.5/2
=53/2
= 26.5 m
vertical stretch = maxpoint -midpoint
or amplitude
=50.5-26.5
=24m
since there is no horizontal shift
y=asin(k(x-d))+c
y=24sin(2x)+26.5
or y=24sin(120x)+26.5 depending on how you look at the period in seconds or minutes.