The answer for the ideal mechanical advantage and actual mechanical advantage for the different scenarios are;
A) Ideal Mechanical Advantage = 18.67
B) Actual Mechanical Advantage = 4.1067
We are given;
Input distance; The diameter of the wheel; d_w = 14 inches
Output distance; The diameter of the axle that drives the wheel; d_a = 3/4 inches
The force needed to cut a one-inch-thick softwood board; F = 1.75 pounds
The efficiency of the band saw; η = 22% = 0.22
A) Formula for Mechanical advantage is;
M.A = Force output/Force input = (Input distance)/(Output distance)
Thus;
Ideal mechanical advantage = 14/(3/4)
Ideal mechanical advantage = 18.67
B) Now, we are given that efficiency of the band saw is η = 22% = 0.22.
Thus using the mechanical advantage formula above;
Actual mechanical advantage = 0.22 × Expected output
Actual mechanical advantage = 0.22 × 18.67
Actual mechanical advantage ≈ 4.1067
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