Question

mechanical advantage = output force / input force
a mechanic applies an input force of 30 n on a lever and it produces an output force of 90 n?
what is the mechanical advantage of the lever?

what is the mechanical advantage of a lever with an effort arm of 180 cm and a load arm of 60 cm?
ma = effort arm / load arm

Explanation:

First Sub - Question (Mechanical Advantage with Forces)

Step 1: Identify the formula

The formula for mechanical advantage (MA) when using force is \( MA=\frac{\text{Output Force}}{\text{Input Force}} \)

Step 2: Substitute the values

We know that the output force is \( 90\space N \) and the input force is \( 30\space N \). Substituting these values into the formula, we get \( MA = \frac{90}{30} \)

Step 3: Calculate the result

\( \frac{90}{30}=3 \)

Second Sub - Question (Mechanical Advantage with Arms)

Step 1: Identify the formula

The formula for mechanical advantage (MA) when using lever arms is \( MA=\frac{\text{Effort Arm}}{\text{Load Arm}} \)

Step 2: Substitute the values

We know that the effort arm is \( 180\space cm \) and the load arm is \( 60\space cm \). Substituting these values into the formula, we get \( MA=\frac{180}{60} \)

Step 3: Calculate the result

\( \frac{180}{60} = 3 \)

Answer:

For the first sub - question, the mechanical advantage of the lever is \( 3 \).

For the second sub - question, the mechanical advantage of the lever is \( 3 \).