A Ferris Wheel has a radius of 12 meters, and the bottom of the wheel passes 3 meters above the ground. At the same time the ride officially begins, Jacky is at some unknown distance from the ground. After 16 seconds, Jacky reaches the highest point on the wheel.
How would you find the sinusoidal equations? Can anyone explain to me how to do this problem? Thanks.
Hello Salt
Welcome to Math Help Forum!The equation you need will be in the formOriginally Posted by Salt
whereYou won't be able to solve this completely (you haven't been given enough information) but you can get a set of possible solutions. Here's how:is the height above ground in metres
is the time in seconds
are constants
takes values between
and
for all values of
, so in the equation above,
to
. Therefore:
This gives:
When. So plug these values into the equation using the values of
and
that we've just found:
So the equation is of the form
, for any integer
(This is using degrees - but you can write
in radians if you like)
The only other option would be to eliminate, and express this in terms of
. Without more information, that's all you can say.
Grandad
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