Difference between revisions of "Angular Momentum"
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linear momentum = m*v | linear momentum = m*v | ||
| − | angular momentum = | + | angular momentum = <span style="font-family:verdana;">I</span></span>*<span style="font-family:symbol;">w</span> |
force = F = m*a | force = F = m*a | ||
| Line 16: | Line 16: | ||
angular kinetic energy = ½<span style="font-family:verdana;">I</span>*w<sup>2</sup> | angular kinetic energy = ½<span style="font-family:verdana;">I</span>*w<sup>2</sup> | ||
| + | |||
| + | abbreviations: | ||
| + | p = linear momentum | ||
| + | |||
| + | <span style="font-family:verdana;">I</span></span> = 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 | ||
Revision as of 12:21, 20 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 = m*v
angular momentum = I*w
force = F = m*a
torque = t = I*a
linear kinetic energy = ½mv2
angular kinetic energy = ½I*w2
abbreviations: p = linear momentum
I = angular momentum
v = linear velocity
w = angular velocity
a = acceleration
a = angular acceleration
m = mass
