Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11.) a rake is held so that its input arm is 0.4 meters and its output …

Question

11.) a rake is held so that its input arm is 0.4 meters and its output arm is 1.0 meters. what is the mechanical advantage of the rake?

Explanation:

Step1: Recall Mechanical Advantage Formula

Mechanical Advantage (MA) for a lever is given by the ratio of the output arm length (\(L_o\)) to the input arm length (\(L_i\)), i.e., \( MA=\frac{L_o}{L_i} \).

Step2: Identify Given Values

Input arm length \( L_i = 0.4 \) meters, Output arm length \( L_o = 1.0 \) meters.

Step3: Calculate Mechanical Advantage

Substitute the values into the formula: \( MA=\frac{1.0}{0.4} = 2.5 \).

Answer:

The mechanical advantage of the rake is \( 2.5 \).