i need help on ratios, gears and teeth.ex.
teeth on driving gear A-35
teeth on driving gear B-?
gear ratio-2 1/2 to 1
what is gear B, and how will i figure this out?
To find the number of teeth on gear B, we can use the gear ratio and the number of teeth on gear A.
The gear ratio of 2 1/2 to 1 means that for every 2 1/2 rotations of gear A, gear B will make 1 rotation.
Given that gear A has 35 teeth, we can set up a ratio equation to find the number of teeth on gear B.
Let's call the number of teeth on gear B "x".
The ratio of teeth on gear A to teeth on gear B is 2 1/2 to 1, which can be written as 5/2 to 1.
So we can set up the equation:
35 (teeth on gear A) / x (teeth on gear B) = 5/2
Cross multiplying, we get:
35 * 2 = x * 5
Simplifying further, we have:
70 = 5x
Now, to isolate x, divide both sides of the equation by 5:
70/5 = x
x = 14
Therefore, gear B has 14 teeth.