The circular blade of a saw has a diameter of 8 inches and rotates at 2000 revolutions per minute. Find the linear speed of the saw teeth in feet per second. Round your Answer to two decimal places.
A) 139.63 feet per second
B) 837.76 feet per second
C) 11.11 feet per second
D) 69.81 feet per second
E) 209.44 feet per second

Question

Quizplus · Accepted Answer

First, we need to find the circumference of the blade:
C = πd = π(8 inches) = 25.12 inches.
Next, we need to convert the speed from revolutions per minute to inches per minute, and then to feet per second:
Speed = (2000 revolutions/minute) × (25.12 inches/revolution) × (1 foot/12 inches) × (1 minute/60 seconds) ≈ 69.81 feet per second. 
Therefore, the answer is D, 69.81 feet per second.

The Circular Blade of a Saw Has a Diameter of 8