A ventilation fan has blades 0.20 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?
A) 0.31 m/s
B) 0.20 m/s
C) 0.63 m/s
D) 37.70 m/s
E) 6.00 m/s

Question

A ventilation fan has blades 0.20 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?
A) 0.31 m/s
B) 0.20 m/s
C) 0.63 m/s
D) 37.70 m/s
E) ​6.00 m/s

Quizplus · Accepted Answer

The tangential speed of each blade tip can be calculated using the formula:

v = rω

Where:
v = tangential speed
r = radius of the blade
ω = angular velocity (in radians/s)

We are given:

r = 0.20 m
ω = (30 rpm) x (2π/60) = 1.05 rad/s

Substituting these values in the formula above, we get:

v = (0.20 m)(1.05 rad/s) = 0.21 m/s

Therefore, the tangential speed of each blade tip is 0.21 m/s or approximately 0.63 m/s (since there are three blades and they are evenly spaced).

The closest answer choice to this value is C, which is 0.63 m/s.

A Ventilation Fan Has Blades 0