What is dimension in physics?
a dimension is a line
I don't understand. If it is a line, then why the dimensions of v is L/T ?
length and time are dimensions velocity is the ratio of L to t, a comparison of two lines
So, length is a line, time is a line, and mass is also a line?
The dimensions of any physical quantity can always be expressed as a combination of the fundamental quantities (such as length, mass and time) from which they are derived. For example the dimensions of acceleration are length divided by time squared. In any valid physical equation the dimensions of all the terms must be the same. So we can't equate a term which has a total dimension of velocity with one which has a total dimension of acceleration. Equations must be dimensionally correct.
So, dimension of a physical quantity can be expressed as.... But what is dimension?
The dimensions of a derived unit are the powers to which the fundamental units are involved in the quantity. For example velocity has the dimensions +1 in length and -1 in time giving: \[v=l \times t ^{-1}\] and force has the dimensions +1 in mass, +1 in length and -2 in time giving:\[F=m \times l \times t ^{-2}\]
physical dimensions are things that could be measured against; a ruler, clock, standard mass, standard candle, ammeter , thermometer, a mole of a substance
Is the following correct? 1. physical dimension - thing can be measured 2. dimension of physical quantity - can be expressed in fundamental quantity 3. dimension of a derived unit - power of fundamental units involved. It's so confusing.
dimension is not a quantity, but quality
dimension of (physical) quantity = quality of a quantity?
m , L,T
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