Question

If a windmill with radius 26 feet makes 12 full revolutions every 1 minute, what is its linear speed?

Answer 1

Answer:

The linear speed of the windmill is 32.682 ft/s.

Step-by-step explanation:

Given;

radius of the windmill, r = 26 ft

number of revolutions per minute, θ = 12 rpm

The angular speed of the windmill is given as;

$\omega = \frac{12 \ rev}{min} *\frac{2\pi \ rad}{1 \ rev} *\frac{1 \ min}{60 \ s} \\\\\omega = 1.257 \ rad/s$

The linear speed of the windmill is given as;

v = ωr

v = 1.257 rad/s x 26 ft

v = 32.682 ft/s

Therefore, the linear speed of the windmill is 32.682 ft/s.