Fourth year of secondary education
Uniform Circular Movement
C. Palacios
 U.C.M.  
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4.2  Linear and angular magnitudes. Linear velocity and angular velocity

We call the radians per second displayed by a body with UCM angular velocity, w. As well as describing an angle, the speed at which the arc is covered can be measured in m/s, this is linear velocity. The difference between these two ways of measuring velocity depends on the radius.
To calculate angular velocity you just divide the angle covered ( f in radians) by the time taken (t):

w = f / t

 

Given that  f=s/r, when you substitute in the previous equation, you are left with 

 

s/r=v
or      also

 

 

To summarise, in U.C.M.

 

  space velocity
linear s= f.r v = w.r
angular f=s/r w = v/r
 

 

U.C.M.
What is it?
Does it show acceleration?
How do we describe it?
Revolutions per minute
Radians per second
What is a radian?
Arc, angle and radius
How many radians are there in a circumference?
Angular and linear magnitudes
Linear and angular space
Linear and angular velocity
Evaluation