Acceleration in terms of velocity and radius?

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SUMMARY

The discussion focuses on identifying which of the given quantities has dimensions of acceleration, specifically expressed as [(ML)/(T^2)]. The quantities analyzed include MV, MV², (MV²)/R, MRV, and (MV²)/(R²). The correct answer is (MV²)/R, as it simplifies to [(ML)/(T²)], confirming that acceleration can indeed be expressed in terms of velocity (V) and radius (R). The participant correctly identifies the need to analyze the units of velocity and radius to arrive at this conclusion.

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  • Understanding of basic physics dimensions: Mass (M), Length (L), and Time (T)
  • Familiarity with the concept of acceleration and its dimensional formula
  • Knowledge of velocity and its units
  • Basic algebraic manipulation of physical quantities
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  • Study the dimensional analysis of physical quantities in classical mechanics
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  • Explore the derivation of centripetal acceleration formulas
  • Investigate the units of measurement for velocity and radius in different contexts
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Acceleration in terms of velocity and radius??!

Homework Statement



Which one of the quantities below has dimensions = [(ML)/(T^2)]

MV
MV^2
(MV^2)/R
MRV
(MV^2)/(R^2)



Homework Equations



My physics textbook defines 3 basic dimesions: M = Mass. T = Time. L = Length.



The Attempt at a Solution



I know that [(ML)/(T^2)] = mass x acceleration. Each of the 5 possible answers has an "M" which is mass. Therefore, I'm assuming that acceleration must be expressed in terms of
"R" (which I think might be radius) and V (which I think is velocity).

Is this line of thinking correct? As in, can acceleration be expressed in terms of Velocity and Radius? Or is this line of thinking way off the mark?
 
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What re the units of velocity. What units is the radius expressed in? Once you know that, try looking at which of the options units combine to give you what you want.
 

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