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 
ω_{1} 
v 
ω_{2} 
a 
α 
F 
τ 
m 
I 
p 
L 




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

For example 



and so on... 
