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rockafella

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**Urgent First-Year Calculus Word Problem! Help needed ASAP!**

## Homework Statement

Hey this is a first year calculus word problem:

A third design question involves our plan to provide interested tourists with a video of themselves on our biggest Ferris wheel. The idea is to place a camera on a platform facing the descending seats. The camera will have to tilt at a rate that will enable it to keep the paying tourist in focus. The wheel is 60 metres in diameter with its lowest point 3 metres from the ground; takes about 20 minutes to make one revolution. Our plan is to mount the camera 15 metres from the ground, at a distance of 40 metres from the base of the ride. For how long will the camera be able to keep an individual in view and how fast must the camera rotate in order to do so? If you do not find our plan reasonable, please recommend a better one.

Basically, I must use first year calculus to do the problem.

## Homework Equations

Circumference=2pi*r

Area=pi*r^2

## The Attempt at a Solution

I know the period above is 20minutes, or 1200seconds, however I am not sure how to use this information. Also, the rate we are given is revolutions per minute. The rate we are looking for is meters or cm per minute of the camera rotating. We are also looking for time that the camera will keep people in view. I am thinking that for the time the camera will keep people in view, it would be equal to half of the circumference of the ferris wheel (2pi*r/2). Am I on track for this part? And for the first section, any clue would be appreciated. Thanks!