If 2 quantities have same dimension, do they have to represent the same physical quantity?
MIT 6.002 Circuits and Electronics, Spring 2007
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No. Like Work and Energy have same dimensiional formula, but they are definitely different physical quantities.
Also for the Work & Torque there is same position, Since W = F.d and also torque = F.(perpendicular distance).
Hey...It isn't necessary that if two quantities have same dimensions they represent same physical quantity...
Dimensions just say that you aren't wrong while deriving a formula and but thy don't tell if you are perfectly right...
Dimension are values which represent measurement of a quantity , well it does not mean that that the two quantities measured are the of the same type.....like measuring the length of a field ,suppose :15m and length of a cardboard ,suppose= 1m. Therefore...not necessary they represent two quantities..