Help me please. Radian (question 15)

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AI Thread Summary
The discussion centers on identifying which equation is valid only when angular measures are in radians, with option D (ω = Vt/r) being the correct answer. Participants clarify that α represents angular acceleration and discuss the implications of using radians versus degrees in angular motion equations. They note that options a and b contain typos, which may confuse the interpretation of angular velocity and acceleration. The importance of radians in the context of these equations is emphasized, particularly for maintaining consistency in angular measurements. Understanding these distinctions helps clarify why option D is the only equation that requires radians.
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Homework Statement


Which equation is valid only when the angular measure is expressed in radians?

a) α = Δθ / Δt

b) ω= Δω / Δt

c) ω^2 = ωo^2 + 2αθ

d) ω = Vt/r (here T is a subscript)

e) θ = 1/2αt^2 + ωαt

Answer is D but why??

Homework Equations

The Attempt at a Solution


a) α = Δθ / Δt

Can we please go over each option?

OK looking at option a, it does give me an alpha so I don't know what to think of this. Then it says (Alpha = Change of angle/change in time). This seems to be the formula for "angular velocity" but what is alpha? can we go over this first? what is alpha?
 
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a) and b) are typos. a) should be "##\omega=##" and b) should be "##\alpha=##". ##\alpha## is angular acceleration.
Does the answer make sense now?
 
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