In this lesson we will cover angular velocity. Since there is really nothing new to
learn, this and the next lesson will mainly consist of sample problems.
A shaft rotates at 3600rpm.
a. What is its angular velocity in rad/s?
b. How many radians does it turn through in 1.5 seconds?
We know that there are 2p radians for every revolution and 60s for every minute, so
3600rpm * 2
rad = 22619.467rad/m
22619.467rad/m ÷ 60s = 376.991rad/s
Once we know the velocity, part b is easy.
376.991rad/s * 1.5s = 565.487rad
Problem Two: A windmill has 40m long radius blades which rotate at 30 rpm. What is
the linear velocity of the blade's tips?
First we need to convert rpm to rad/s, because the equations used to convert rotational to linear movement have to have rad/s.
30rpm * 2rad ÷ 60s = 3.142rad/s
Then we just use the equation v = r * 
to convert to linear velocity.
v = 40m * 3.142rad/s
v = 125.68m/s
The last lesson in this section will go over rotation
acceleration.
