Help me please. Radian (question 15)

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SUMMARY

The valid equation that requires angular measure to be expressed in radians is option D: ω = Vt/r. This equation relates angular velocity (ω) to tangential velocity (Vt) and radius (r), and it is derived from the definition of angular velocity in terms of radians. The discussion clarifies that options a) and b) contained typographical errors, where α should represent angular acceleration and ω should represent angular velocity. Understanding these definitions is crucial for correctly interpreting the equations.

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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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