The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d=30sin(pi/30 t) + 15 where d represents the distance in feet of the person above the ground after t seconds how long will it take for the Ferris wheel to make one revolution

Respuesta :

The time it take for the Ferris wheel to make one revolution is 60 seconds.

Sine function

A sine function is in the form:

y = Asin(wt + Ф) + D

Where A is the amplitude, w = 2πf = 2π/T, Ф is the phase shift and T is the period.

Given that:

d = 30sin(pi/30 t) + 15

Hence:

ω = π/30

π/30 = 2π/T

T = 60 s

The time it take for the Ferris wheel to make one revolution is 60 seconds.

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