What would be the RPM for a gear with 8 teeth that makes two contacts per second?

To determine the RPM (revolutions per minute) for a gear with 8 teeth that makes two contacts per second, it’s essential to understand the relationship between the number of teeth, the number of contacts, and the revolutions per minute.

When the gear has 8 teeth and makes two contacts per second, this indicates it engages a different component (such as another gear or part of a mechanism) twice every second. Since each full revolution of the gear will result in one complete pass of all its teeth, we need to calculate how many complete revolutions occur in one minute based on the number of contacts.

Since there are 8 teeth, one complete revolution (360 degrees) corresponds to 8 contacts. If the gear makes 2 contacts every second, that would mean it completes (2 contacts/8 teeth) = 0.25 revolutions per second. To convert revolutions per second into revolutions per minute, we multiply by 60 seconds:

0.25 revolutions/second * 60 seconds/minute = 15 revolutions per minute.

This calculation correctly corresponds to the RPM for the gear in question. Thus, the correct answer is 15 RPM, as it accurately represents the rate at which the gear is