CWEA Maintenance Technologist Practice Test

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Enhance your skills with the CWEA Maintenance Technologist Test. Utilize flashcards and comprehensive questions, each containing hints and detailed explanations. Prepare thoroughly for your certification!

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If a 38-tooth gear running at 360 rpm is driving another gear at 144 rpm, what is the number of teeth on the driven gear?

The correct answer is: 95

To determine the number of teeth on the driven gear when one gear drives another, the relationship between the gears' teeth count and their rotational speeds can be expressed using the gear ratio formula: \[ \frac{N_1}{N_2} = \frac{RPM_2}{RPM_1} \] Where: - $ N_1 $ is the number of teeth on the driving gear. - $ N_2 $ is the number of teeth on the driven gear. - $ RPM_1 $ is the speed of the driving gear. - $ RPM_2 $ is the speed of the driven gear. In this scenario: - The driving gear has 38 teeth at 360 rpm. - The driven gear rotates at 144 rpm. Setting up the equation based on the given values, we get: \[ \frac{38}{N_2} = \frac{144}{360} \] First, simplify the right side of the equation: \[ \frac{144}{360} = \frac{2}{5} \] Now, the equation becomes: \[ \frac{38}{N_2} = \frac{2}{5} \] To find the number of teeth