The Open Door Web Site
MECHANICS
 Custom Search
Comparing Linear and Rotational Dynamics
Linear acceleration, a, (previously just called acceleration) is defined as the rate of change of (linear) velocity.
This gives us the following equation

Similarly, we define angular acceleration α as the rate of change of angular velocity.
This can be expressed by the following equation

Also, Newton's second law of motion is often stated as

and a "rotational equivalent" to this equation was also found

A comparison between these equations leads to the suggestion that we can find rotational (angular) quantities which are mathematically equivalent to the familiar linear quantities.

In these equations, we see that
 α is equivalent to a ω is equivalent to v I is equivalent to m

We extend the list as follows:
 Linear Quantity Angular Quantity s θ u ω1 v ω2 a α F τ m I p L

We can now propose new equations by simply substituting rotational quantities for linear quantities.
For example
 gives gives

and so on...
 © The Open Door Team2016Any questions orproblems regardingthis site should beaddressed tothe webmaster © David Hoult 2017 Hosted By

Mechanics Index Page