Modelling with trigonometric functions

LostCase · #1 $Old$ November 18th, 2009, 06:19 PM

Hi,
I have this math problem from my textbook buti'm not really sure how I can get the original sine formula

Here is the question
A Ferris wheel has a diameter of 56m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50m above the ground. Sketch cycles of a graph that represents the height of a rider above the ground, as a function of time, if the rider gets on at a height of 0.5m at t=0 min. Then determine the time intervals when the rider could see Niagara Falls.

So, I know the period must be 2.5 right? the diameter 56/2= 28 <--radius
but i'm not really sure how i'd go from there

thank you

Grandad · #2 $Old$ November 18th, 2009, 11:29 PM

Hello LostCase

Quote:

Originally Posted by LostCase $View Post$

Hi,
I have this math problem from my textbook buti'm not really sure how I can get the original sine formula

Here is the question
A Ferris wheel has a diameter of 56m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50m above the ground. Sketch cycles of a graph that represents the height of a rider above the ground, as a function of time, if the rider gets on at a height of 0.5m at t=0 min. Then determine the time intervals when the rider could see Niagara Falls.

So, I know the period must be 2.5 right? the diameter 56/2= 28 <--radius
but i'm not really sure how i'd go from there

thank you

This was posted yesterday.

Grandad