Difference between revisions of "Angular Momentum"

From apimba
Jump to navigation Jump to search
 
(5 intermediate revisions by the same user not shown)
Line 5: Line 5:
 
Equations that show the relationship between linear and angular momentum:
 
Equations that show the relationship between linear and angular momentum:
  
linear momentum = m*v
+
linear momentum = mv
  
angular momentum = <span style="font-family:verdana;"><span style="font-family:verdana;">I</span></span>*<span style="font-family:symbol;">w</span>
+
angular momentum = <span style="font-family:verdana;">I</span></span><span style="font-family:symbol;">w</span>
  
force = F = m*a
+
force = F = ma
  
 
torque = <span style="font-family:symbol;">t</span> = <span style="font-family:verdana;">I</span>*<span style="font-family:symbol;">a</span>
 
torque = <span style="font-family:symbol;">t</span> = <span style="font-family:verdana;">I</span>*<span style="font-family:symbol;">a</span>
Line 15: Line 15:
 
linear kinetic energy = &#189;mv<sup>2</sup>
 
linear kinetic energy = &#189;mv<sup>2</sup>
  
angular kinetic energy = &#189;<span style="font-family:verdana;">I</span>*w<sup>2</sup>
+
angular kinetic energy = &#189;<span style="font-family:verdana;">I<span style="font-family:symbol;">w</span><sup>2</sup>
 +
 
 +
==abbreviations==
 +
p = linear momentum
 +
 
 +
L = angular momentum
 +
 
 +
v = linear velocity
 +
 
 +
<span style="font-family:symbol;">w</span> = angular velocity
 +
 
 +
a = acceleration
 +
 
 +
<span style="font-family:symbol;">a</span> = angular acceleration
 +
 
 +
m = mass
 +
 
 +
<span style="font-family:verdana;">I</span></span> = moment of inertia
 +
 
 +
==Application to Quantum Mechanics==

Latest revision as of 03:20, 21 March 2020

Angular momentum is related to linear momentum in that it measures the amount of motion in a body. Linear momentum measures the amount of linear motion, while angular momentum measures the amount of angular motion.

The equation for linear momentum is mass times velocity, while for angular momentum it is moment of inertia times angular velocity (makes you wonder if mass = inertia?). Since nothing is ever at rest because there is no absolute zero-motion reference frame (as far as we know), everything has momentum, both linear and angular.

Equations that show the relationship between linear and angular momentum:

linear momentum = mv

angular momentum = Iw

force = F = ma

torque = t = I*a

linear kinetic energy = ½mv2

angular kinetic energy = ½Iw2

abbreviations

p = linear momentum

L = angular momentum

v = linear velocity

w = angular velocity

a = acceleration

a = angular acceleration

m = mass

I = moment of inertia

Application to Quantum Mechanics