If the mechanical advantage of a machine is 4. What is its ratio for LOAD to EFFORT?

1. Analyze the question

The question asks for the relationship between Load and Effort, given that the Mechanical Advantage (M.A.) of a machine is 4.

2. Explain the concept

In Physics, the Mechanical Advantage (M.A.) of a machine is defined as the ratio of the Load ($L$) to the Effort ($E$). It measures how much a machine multiplies the force applied to it.

The formula is:

When we express a ratio of $L:E$, we are essentially looking for the value of $\frac{L}{E}$.

3. Show the solution

• Given: M.A. = 4
• Formula: $\text{M.A.} = \frac{\text{Load}}{\text{Effort}}$
• Substitution: $4 = \frac{\text{Load}}{\text{Effort}}$

To express this as a ratio ($L:E$), we can write 4 as a fraction:

Therefore, the ratio of Load to Effort is 4:1.

4. Identify the answer

Comparing our result to the given options: A. 4:1 B. 1:4 C. 5:1 D. 2:1

The correct option is A.

5. Tip

Always remember the acronym "LE" for Mechanical Advantage: Load over Effort. If you ever get confused, just think: "A machine with a high M.A. makes it easier to lift a heavy Load with a small Effort." Since 4 is greater than 1, the Load must be greater than the Effort!