A wheel moves with an angular velocity of 16 radians per second. find the speed of the wheel if its diameter is 28 inches.

Let us gather first all the information:

Let rad = radians, rev = revolution, 2πr = circumference, r = radius

Radius = 2 8/2 = 14 in

Equation:

Speed of the wheel = 16 rad/sec * rev / 2πr

rad*2πr / rev

We will cancel rad, rev, and 2πr

So here’s left:

Speed of wheel = 16r in/sec

= 16 * 14 in/sec

= 224 in/sec