Final answer:
The cutting speed of a 20-inch band saw with wheels rotating at 800 rpm is 4188.79 surface feet per minute (S.F.M.), calculated using the formula involving the wheel diameter, pi, and rotational speed.
Step-by-step explanation:
To calculate the cutting speed in surface feet per minute (S.F.M.) of a 20-inch band saw where the wheels turn at 800 revolutions per minute (rpm), we can use the formula for cutting speed: S.F.M. = (Diameter of Wheel in inches × π × RPM) ⁄ 12.
In this problem, the diameter (D) is given as 20 inches and the RPM is given as 800. Using the value of π as approximately 3.14159:
S.F.M. = (20 inches × 3.14159 × 800 RPM) ⁄ 12
S.F.M. = (50265.48 inches ⁄ minute) ⁄ 12
S.F.M. = 4188.79 feet ⁄ minute
Thus, the band saw's cutting speed is 4188.79 S.F.M.