Posted by **-** on Friday, November 20, 2009 at 8:38pm.

The vertical position, h, in metres, of a gondola on a Ferris wheel is modelled using the function

h = 10 sin ((pi/15) (t-d)) + 12

where t is the time, in seconds. The gondola must assume a vertical position of 7 m at t=0 s , and be on its way upward.

Determine the phase shift required for the desired operation of the Ferris wheel.

- Advanced Functions -
**Reiny**, Friday, November 20, 2009 at 11:45pm
So we want h=7 when t=0 or

7 = 10sin((pi/15)(-d)) + 12

-.5 = sin((pi/15)(-d))

the reference angle is pi/6 .... ( sinpi/6 = 0.5)

so (-pi/15)d = pi + pi/6 or 2pi - pi/6 or -pi/6

if we let (-pi/15)d = -pi/6

d = 5/2

so h = 10 sin ((pi/15) (t-5/2)) + 12

check:

when t = 0, h = 10sin((pi/15)(-5/2) + 12

= 7

t = .01

h = 7.018 , a bit higher , so it is on its way upwards.

## Answer This Question

## Related Questions

- math - A ferris wheel has radius of 25 m and its centre is 27 m above the ground...
- trig - The ferris wheel in an amusement park. It has a diameter of 24m, and it ...
- Math (please help!) - The largest Ferris Wheel in the world is the London Eye in...
- MATH - A Ferris wheel completes one revolution every 90 s. The cars reach a ...
- Math - The height, h, in metres, above the ground of a rider on a Ferris wheel ...
- Trig - As you ride a ferris wheel, your distance from the ground varies ...
- trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...
- Trigonometry - A carnival Ferris wheel with a radius of 7 m makes one complete ...
- Math - the height, in metres, of a nail in a water wheel above the surface of ...
- advanced functions - the height in meters, of a passenger on a Ferris wheel is ...

More Related Questions