- #1
Jeff Byram
- 2
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I have two questions regarding rotational kinetic energy. I know that rotational kinetic energy is defined as:
KE = ½ I Ω^2
Where KE is the rotational kinetic energy [in units of: joules; kg*m^2/s^2], I is the Moment of inertial [in units of: kg* m^2], and Ω is angular velocity [in units of: radians/sec^2 or 1/s^2] so that the units check.
If (Electron or Nuclear) Spin is defined as J, with values equal to a half integer * h/2π, where h is Plank’s constant [in units of: Joule *seconds or kg*m^2/s],
#1, Is the rotational kinetic energy associated with Spin: KE = ½ J Ω ? (so the units check).
Since V = Ω R, where V is velocity, and R is the radius (or the Electron or Nucleus), so Ω = V/R, and since the fastest possible speed is the speed of light, c,
#2, Is the greatest possible rotational kinetic energy associated with Spin: KE = ½ J c/R ? (so the units check).
Please advise,
Jeff Byram
KE = ½ I Ω^2
Where KE is the rotational kinetic energy [in units of: joules; kg*m^2/s^2], I is the Moment of inertial [in units of: kg* m^2], and Ω is angular velocity [in units of: radians/sec^2 or 1/s^2] so that the units check.
If (Electron or Nuclear) Spin is defined as J, with values equal to a half integer * h/2π, where h is Plank’s constant [in units of: Joule *seconds or kg*m^2/s],
#1, Is the rotational kinetic energy associated with Spin: KE = ½ J Ω ? (so the units check).
Since V = Ω R, where V is velocity, and R is the radius (or the Electron or Nucleus), so Ω = V/R, and since the fastest possible speed is the speed of light, c,
#2, Is the greatest possible rotational kinetic energy associated with Spin: KE = ½ J c/R ? (so the units check).
Please advise,
Jeff Byram