Rotatum
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In physics, rotatum is the derivative of torque with respect to time. Expressed as an equation, rotatum Ρ is:
where τ is torque and is the derivative with respect to time .
The term rotatum is not universally recognized but is commonly used. this word derived from Latin word rotātus meaning to rotate.^{[citation needed]} The units of rotatum are force times distance per time, or equivalently, mass times length squared per time cubed; in the SI unit system this is kilogram metre squared per second cubed (kg·m^{2}/s^{3}), or Newtons times meter per second (N·m/s).
Relation to other physical quantities
Newton's second law for angular motion says that:
where L is angular momentum, so if we combine the above two equations:
where is moment of Inertia and is angular velocity. If the moment of inertia isn't changing over time (i.e. it's constant), then:
which can also be written as:
where ς is Angular jerk.
See also
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