What Are the Dimensions of Volume and Speed in Terms of Length, Mass, and Time

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SUMMARY

The dimensions of volume [V] and speed [v] are expressed in terms of length, mass, and time using the International System of Units (SI). Volume is defined as length cubed, represented as [V] = L³, while speed is defined as length per time, represented as [v] = L/T. The discussion emphasizes the importance of using SI units, specifically meters for length and seconds for time, although mass is not required for these particular calculations.

PREREQUISITES
  • Understanding of dimensional analysis
  • Familiarity with SI units (meters, seconds, kilograms)
  • Basic knowledge of physics concepts related to volume and speed
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Research dimensional analysis in physics
  • Study the relationship between different physical quantities
  • Learn about SI unit conversions and their applications
  • Explore advanced topics in kinematics related to speed and acceleration
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Students studying physics, educators teaching dimensional analysis, and anyone interested in understanding the fundamental relationships between physical quantities like volume and speed.

ch2kb0x
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Homework Statement



what are dimensions of [V]volume and [v] speed expressed as powers of length, mass, time.

Homework Equations





The Attempt at a Solution



i thought of speed as miles per hour...but didnt come out right.
 
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ch2kb0x said:

Homework Statement



what are dimensions of [V]volume and [v] speed expressed as powers of length, mass, time.

Homework Equations





The Attempt at a Solution



i thought of speed as miles per hour...but didnt come out right.
I imagine one is supposed to use S.I. units, i.e. meters, seconds and kilograms (although to answer the above question you don't need to use kilograms).
 

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