To find the length of the effort arm needed for the lever to achieve a specific mechanical advantage (MA), you can use the formula for mechanical advantage in levers:
\[ \text{Mechanical Advantage (MA)} = \frac{\text{Length of Effort Arm}}{\text{Length of Load Arm}} \]
In this case, you've provided the following:
- Length of Load Arm = 0.4 meters
- Desired Mechanical Advantage (MA) = 8
We need to find the Length of the Effort Arm (E). We can rearrange the formula to solve for E:
\[ E = MA \times \text{Length of Load Arm} \]
Substituting the values we have:
\[ E = 8 \times 0.4 \]
Calculating this gives:
\[ E = 3.2 \text{ meters} \]
Therefore, the length of the effort arm should be 3.2 meters to achieve a mechanical advantage of 8.