A 0.254-m diameter circular saw blade rotates at a constant angular speed of 117 rad/s. What is the tangential speed of the tip of a saw tooth at the edge of the blade?
A)29.7 m/s
B)14.9 m/s
C)9.46 m/s
D)7.45 m/s
E)2.17 m/s

Question

Quizplus · Accepted Answer

The tangential speed of the tip of a saw tooth can be found using the formula:

v = ωr

where v is the tangential speed, ω is the angular speed, and r is the radius of the blade.

In this case, the radius of the blade is half the diameter, or 0.127 m.

Plugging in the values:

v = (117 rad/s) × 0.127 m 
v = 14.859 m/s

Rounding to the nearest tenth, the answer is:

v ≈ 14.9 m/s

So, the best choice is B.

A 0254-M Diameter Circular Saw Blade Rotates at a Constant Angular