Dimensional Analysis Video Lessons

Concept

# Problem: Physical quantities are generally not purely numerical: They have a particular dimension or combination of dimensions associated with them. Thus, your height is not 74, but rather 74 inches, often expressed as 6 feet 2 inches. Although feet and inches are different units they have the samedimension--length.A. Find the dimensions [V] of volume.Express your answer as powers of length ( l), mass ( m), and time ( t).B. Find the dimensions [v] of speed.Express your answer as powers of length ( l), mass ( m), and time ( t).

###### FREE Expert Solution

A.

For a cube of length, l, the volume is expressed as:

V = l3

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###### Problem Details

Physical quantities are generally not purely numerical: They have a particular dimension or combination of dimensions associated with them. Thus, your height is not 74, but rather 74 inches, often expressed as 6 feet 2 inches. Although feet and inches are different units they have the samedimension--length.

A. Find the dimensions [V] of volume.

Express your answer as powers of length ( l), mass ( m), and time ( t).

B. Find the dimensions [v] of speed.

Express your answer as powers of length ( l), mass ( m), and time ( t).