work on your reasoning your above. hand it in at the beginning of your assignmen
ID: 2281883 • Letter: W
Question
work on your reasoning your above. hand it in at the beginning of your assignment out, y recitation section on the date indica PART 1. This part of the assignment involves determining the dimensions of various formulas in whic we will only be concerned with the dimensions of ength Lland time ITI. Pure numbers (e.g 2) or symbols that represent a number (e.g., 1) are dimensionless. As shown in the figure, a right circular cone has a height h, a base with a radius of r, and a side length s. All three of these quantities (h,r,s) have dimensions of length [L). 1. Determine the overall dimensions of each of the following formulas. Example: If the formula is 4,ah Solution: Dimensions are ILr.ILJ which isILI 2 h (Raising to the power of 1/2 is the same operation as square root) ii) (r iii) 2+4Trs 2. Considering only dimensions, what's wrong with the following equation: rz-h+ hs Briefly explain your reasoning.Explanation / Answer
1. (i) L2+L2=L
(ii) sqrt(L2+L2)=sqrt(L2)=L
(iii) L2+L2=L
2. In dimensions the whole equztion should have the same dimensions, which is not presetn here.
L2=L3+L is not dimensionally correct
note: pi doesnt have any dimensions and neither the number (1/2)
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