Question

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 8 inches.
http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v13/10_13_part3/10_13_g08_q03.jpg

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?

Show all work.

Answer 1

@ganeshie8

Answer 2

@hartnn

Answer 3

@AravindG

Answer 4

cookie error with that link just so you know.

Answer 5

Can you help me @IMStuck

Answer 6

I'm gonna try!

Answer 7

two circles touching at one point. Larger circle has radius of 8 inches. Smaller circle has radius of 2 inches.

Answer 8

Here it is^^^^^^

Answer 9

The smaller one goes through a whole rotation and the larger one goes through 1/4 of a rotation.

Answer 10

Let me work that and your drawing and see what I come up with, ok?

Answer 11

ok

Answer 12

The rotation of the smaller one is equal to its circumference. The circum for the smaller one is 4pi. The circum for the larger is 16pi. So if the smaller one goes around a whole rotation of 4pi, the larger one goes around accordingly at 4pi/16pi = 1/4 of the way around. 1/4 of the whole circle is a 90 degree angle. That's what I come up with for part A. Does it make sense to you?

Answer 13

Yes

Answer 14

the ratio of the smaller to larger is 1:4, which means that for every one time around for the smaller, you have gone 1/4 of the way aroud the larger.

Answer 15

Again, if the similarity ratio is 1:4 going from smaller to larger, it is 4:1 going from larger to smaller. That means that the smaller one will go around 4 times for every 1 time the larger one goes around.

Answer 16

showing work would probably look like this:

Answer 17

THANX BRUH'

Answer 18

i have two more @IMStuck