Question
A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16s. The bottom of the wheel is 1.5 m above the ground.
Find the amplitude, vertical shift, phase shift and k value and period. Do all calculations and then make your final equation.
Predict how the graph and equation will change if the Ferris wheel turns more slowly.
Find the amplitude, vertical shift, phase shift and k value and period. Do all calculations and then make your final equation.
Predict how the graph and equation will change if the Ferris wheel turns more slowly.
Answers
Reiny
Please stick to one name, don't switch names from one post to another.
this question is similar to the one you posted as Katlyn
since the radius is 7 m, a = 7
remember : period = 2π/k , where k is the coefficient of your trig function ... sin (kt)
so 2π/k = 16
16k = 2π
k = 2π/16 = π/8
so far we have height = 7 sin (π/8)t
the way the curve is, and ground is zero, the lowest point would be -7, but we want the lowest point to be 1.5, so wouldn't we have to raise the curve up 8.5 ?
so far we have : height = 7 sin (πt/8) + 8.5
since you did not state where you want the bottom of the wheel to be at a given time, I cannot find the phase shift
As the wheel slows down, the period would become longer, and the sine curve would be stretched horizontally, nothing happens vertically.
this question is similar to the one you posted as Katlyn
since the radius is 7 m, a = 7
remember : period = 2π/k , where k is the coefficient of your trig function ... sin (kt)
so 2π/k = 16
16k = 2π
k = 2π/16 = π/8
so far we have height = 7 sin (π/8)t
the way the curve is, and ground is zero, the lowest point would be -7, but we want the lowest point to be 1.5, so wouldn't we have to raise the curve up 8.5 ?
so far we have : height = 7 sin (πt/8) + 8.5
since you did not state where you want the bottom of the wheel to be at a given time, I cannot find the phase shift
As the wheel slows down, the period would become longer, and the sine curve would be stretched horizontally, nothing happens vertically.
Krystien
I have 2 names krystien and katlyn sometimes katlyien