QuestionApril 30, 2025

What is the IMA of a gear system if your input gear has 54 teeth and the output gear has 24 teeth?

What is the IMA of a gear system if your input gear has 54 teeth and the output gear has 24 teeth?
What is the IMA of a gear system if your input
gear has 54 teeth and the output gear has 24
teeth?

Solution
4.6(194 votes)

Answer

\(\frac{4}{9}\) Explanation 1. Identify the formula for IMA The Ideal Mechanical Advantage (IMA) of a gear system is given by **IMA = \frac{\text{Number of teeth on output gear}}{\text{Number of teeth on input gear}}**. 2. Substitute the values Substitute the number of teeth into the formula: **IMA = \frac{24}{54}**. 3. Simplify the fraction Simplify the fraction to get the IMA: **IMA = \frac{4}{9}**.

Explanation

1. Identify the formula for IMA<br /> The Ideal Mechanical Advantage (IMA) of a gear system is given by **IMA = \frac{\text{Number of teeth on output gear}}{\text{Number of teeth on input gear}}**.<br /><br />2. Substitute the values<br /> Substitute the number of teeth into the formula: **IMA = \frac{24}{54}**.<br /><br />3. Simplify the fraction<br /> Simplify the fraction to get the IMA: **IMA = \frac{4}{9}**.
Click to rate:

Similar Questions