What are some applications of using radian measure?

1 Answer
Gió
Jan 11, 2015

In physics you use radians to describe circular motion, in particular you use them to determine angular velocity, omega.
You may be familiar with the concept of linear velocity given by the ratio of displacement over time, as:
v=(x_f-x_i)/t
where x_f is the final position and x_i is the initial position (along a line).
Now, if you have a circular motion you use the final and initial ANGLES described during the motion to calculate velocity, as:
omega=(theta_f-theta_i)/t
Where theta is the angle in radians.
omega is angular velocity measured in rad/sec.
enter image source here
(Picture source: http://francesa.phy.cmich.edu/people/andy/physics110/book/chapters/chapter6.htm)

Have a look to other rotational quantities you'll find a lot of ...radians!

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