Circular motion formulas, what does the angle without the function mean?

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SUMMARY

The discussion centers on the use of an angle represented as delta theta (Δθ) in circular motion formulas without a trigonometric function. Participants confirm that while angles are typically expressed in radians, degrees can also be used as long as consistency is maintained throughout the calculations, such as ensuring angular acceleration is in degrees per second. For example, a quarter of a circle corresponds to Δθ = π/2 radians. Understanding this concept is crucial for accurately applying circular motion equations.

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  • Knowledge of angular acceleration concepts
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This discussion is beneficial for physics students, educators, and anyone involved in mechanics or engineering who seeks to deepen their understanding of circular motion and angular measurements.

Femme_physics
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I see an angle without a trigonometric function (delta theta - at the left side equations). I've never seen it before in a formula, and am not sure how to use it. Can anyone tell me how? Do I just translate degrees to radians and just plug the number I get in radians?
 
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Yes, typically you see everything in radians. So if you went through a quarter of a circle, you'd have [itex]\Delta \theta = {{\pi} \over{2}}[/itex]

You could use degrees as long as everything is consistent (such as the angular acceleration being in degrees/sec for example).
 

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