A lever has a load arm of 3 meters and a force arm of 9 meters. If the input force is 100 N, calculate the ideal mechanical advantage (IMA).

The ideal mechanical advantage (IMA) of a lever is calculated using the ratio of the length of the force arm to the length of the load arm. The formula is:

\[
\text{IMA} = \frac{\text{Length of Force Arm}}{\text{Length of Load Arm}}
\]

Given:
- Length of force arm = 9 meters
- Length of load arm = 3 meters

\[
\text{IMA} = \frac{9}{3} = 3
\]

Thus, the ideal mechanical advantage (IMA) is **3**.

Would you like to explore more details or have any questions about this?

Here are 5 related questions you can explore:
1. What is the actual mechanical advantage (AMA) and how does it differ from IMA?
2. How do you calculate the efficiency of a lever system using AMA and IMA?
3. What role does friction play in reducing the actual mechanical advantage?
4. How does the class of lever affect its mechanical advantage?
5. How can you apply the concept of mechanical advantage to other simple machines?

**Tip**: In real-world scenarios, the actual mechanical advantage (AMA) is often less than the IMA due to friction and other resistive forces.

Learn how to calculate the ideal mechanical advantage (IMA) of a lever with a 3-meter load arm and 9-meter force arm. This problem explains the key formula IMA = Force Arm / Load Arm and demonstrates step-by-step how to solve it. Ideal for students in Grades 6-8.

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