![]() It is, therefore, about determining an expression for the angular velocity, and an another for the angular position (we already know that the angular acceleration is constant). Additionally, this implies that the average and instantaneous angular velocities of the motion always have the same value.Angular acceleration is constant ( α = constant).We will consider the following properties: To obtain the equations of non-uniform circular motion we proceed in the same way as we did with the uniformly accelerated linear motion (u.a.r.m.), but considering angular magnitudes, rather than linear. The previous formula allows us to relate velocity and angular distance traveled if the acceleration is known, and can be deduced from the previous ones, as you can see next.įrom the previous table the following linear quantities can be easily deduced:įinally, remember that the total acceleration of a body can be expressed as a function of its intrinsic components, giving us its magnitude: Its unit in the International System (S.I.) is the second (s)Īlthough the former are the main equations of the non uniform circular motion, and the only ones necessary to solve the exercises, it is sometimes useful to know the following expression: t: Instant of time under consideration.Its unit in the International System (S.I.) is radian per second squared (rad/s 2) Its unit in the International System (S.I.) is the radian per second (rad/s) ω, ω 0: Angular velocity of the body at the considered moment and at the initial moment respectively.φ, φ 0: Angular position of the body in the studied moment and at the initial moment respectively, its unit in the International System (S.I.) is the radian (rad).
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