Question

The speed of a gear varies inversely as the number of teeth if a gear which has 36 teeth make 30 revolution per minute how many revolution per minute will a gear with 24 teeth make​

Answer 1

Step-by-step explanation:

Inverse variations, or inverse proportions, where y varies inversely to x, are of the form y = k/x, where k is called the proportionality constant for that specific inverse variation.

Here, if you let the linear velocity of the gear, 24 rpm, be y and the number of gear teeth be x, then the initial set-up becomes 24 = k/45, and k for this variation is found as k = 1080. So for other gears following this relation, the velocity is 1080 divided by the number of gear teeth... or y = 1080/x.