Answer:
The actual mechanical advantage of the wheel and axle is approximately 4.1067
Explanation:
The given parameters are;
The diameter of the wheel = 14 inches
The diameter of the axle that drives the wheel = 3/4 inches
The force needed to cut a one-inch-thick softwood board = 1.75 pounds
The efficiency of the band saw = 22%
Mechanical advantage = Force output/Force input = Input distance/(Output distance)
Input distance/(Output distance) = 14/(3/4) ≈ 18.67
Mechanical advantage ≈ 18.67
Given that efficiency = Useful energy output/(Total energy input), we have;
Efficiency = 22% = 0.22 × Expected output, we have;
The actual mechanical advantage = 0.22 × 18.67 ≈ 4.1067
The actual mechanical advantage ≈ 4.1067
