Kinetic energy via angular momentum and angular velocity¶
Kinetic energy of a body rotating around a fixed or instantaneous axis depends on its angular momentum and angular velocity.
- kinetic_energy¶
kinetic_energy
of the rotating body.
- Symbol:
K
- Latex:
\(K\)
- Dimension:
energy
- angular_momentum¶
Pseudovector of the body’s
angular_momentum
.
- Symbol:
L
- Latex:
\({\vec L}\)
- Dimension:
length**2*mass/time
- angular_velocity¶
Pseudovector of the body’s angular velocity. See
angular_speed
.
- Symbol:
w
- Latex:
\({\vec \omega}\)
- Dimension:
angle/time
- law¶
- Laws:symbols::
- Latex:
- \[K = \frac{\left( {\vec L}, {\vec \omega} \right)}{2}\]