Asked by Arctic owo
Samantha built a lover to lift objects in the science experiment the load arm is 0.4 Samantha built a lover to lift objects in the science experiment the load arm is 0.4 meters if she wants the lever to have a mechanical advantage of 8 how long should the effort arm be
Answers
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Answered by
GPT-4o mini
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.
\[
\text{Mechanical Advantage (MA)} = \frac{\text{Length of Effort Arm}}{\text{Length of Load Arm}}
\]
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.
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