Question

10.) a lever with an output arm of 0.8 meter has an ideal mechanical advantage of 6. what is the length of the input arm?

Explanation:

Step1: Recall the formula for mechanical advantage (MA) of a lever

The formula for the ideal mechanical advantage (MA) of a lever is \( MA=\frac{l_{in}}{l_{out}} \), where \( l_{in} \) is the length of the input arm and \( l_{out} \) is the length of the output arm. We need to find \( l_{in} \), and we know that \( MA = 6 \) and \( l_{out}=0.8 \space m \).

Step2: Rearrange the formula to solve for \( l_{in} \)

From \( MA=\frac{l_{in}}{l_{out}} \), we can rearrange it to \( l_{in}=MA\times l_{out} \).

Step3: Substitute the known values into the formula

Substitute \( MA = 6 \) and \( l_{out}=0.8 \space m \) into the formula: \( l_{in}=6\times0.8 \).

Step4: Calculate the result

\( 6\times0.8 = 4.8 \space m \).

Answer:

The length of the input arm is \( 4.8 \) meters.