Question

An ant sits on a CD at a distance of 17cm from the center. After 42 seconds, the Ant has traveled 913 cm. How do I find the angle the ant has turned through, in radians?

Answer 1

You haven't provided the direction in which the ant began moving, or the final displacement point.

Answer 2

Ignore those fine points...this is for Honors PreCalc.

Answer 3

precalc is not for me :(

Answer 4

Well, its has to do something with 2piradius or 2pi radians something along those lines

Answer 5

what chapter is it for this in your book?

Answer 6

It's a worksheet....

Answer 7

for what chapter? i'm in precalc H too....

Answer 8

what book are you using?

Answer 9

this one http://img2.imagesbn.com/images/14890000/14895737.JPG

Answer 10

Not the same....

Answer 11

We're using a trigonometric textbook...

Answer 12

oh so its on the trig part

Answer 13

k hold on

Answer 14

2piRadians = 0 degrees or 360 degrees, so i doubt that will be useful.

Answer 15

try using arc length formula
S=r(theta)
*s=arclength

Answer 16

@alexwee123 How would I do that (set it up)?

Answer 17

\[(2pi)R= Circumference\]

Answer 18

so state the question more clearly, pretty please?

Answer 19

Okay, the ant is sitting 17 cm from the center of the CD, and spinning in a circle. Hence the ant's path is a cirlce with radius 17 cm. The circumference of a circle, the distance to go around the edge once, is given by 2*pi*r. All you need to do is find the circumference of the circle from this, and use that to determine how many times the ant has gone around in a circle. (For example, if the circumference is 200 and the ant has traveled 300 cm, it has gone in 1.5 circles). One circle is 2*pi radians, so the ant has traveled 2*pi*# of rotations radians.

Answer 20

you already have radius which is 17

Answer 21

so