Monday

October 20, 2014

October 20, 2014

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

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 11:45pmSo 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 (please help!) - The largest Ferris Wheel in the world is the London Eye in...

math - A ferris wheel has radius of 25 m and its centre is 27 m above the ground...

Trig - A ferris wheel has a 14 meter diameter and turns counterclockwise at 6 ...

Trigonometric Functions - A person is riding a ferris wheel that turns at a ...

Math - A ferris wheel is 30 meters in diameter and boarded in the six o'clock ...

math - A ferris wheel is 35 meters in diameter,and can be boarded at ground ...

trig - The ferris wheel in an amusement park. It has a diameter of 24m, and it ...

Math - The height, h, in metres, above the ground of a rider on a Ferris wheel ...

trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...

Pre Calculus 12 - The height h, in metres, above the ground of a car as a ferris...