Do 32.7s^-1 and 3.27s Represent the Same Value?

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Homework Help Overview

The discussion revolves around the comparison of two expressions, 32.7s^-1 and 3.27s, focusing on their equivalence and the interpretation of the units involved.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the expressions can be considered equal, questioning the meaning of the units and the implications of the exponent notation. Some participants attempt to manipulate the expressions mathematically to clarify their relationship.

Discussion Status

The discussion includes various interpretations of the units and exponents, with some participants providing insights into the mathematical representation of the expressions. There is no explicit consensus on the equivalence of the two values, but multiple perspectives are being explored.

Contextual Notes

Participants are considering the implications of the unit 's' as seconds and questioning whether the exponent applies to the number or the unit. This leads to discussions about the correct interpretation of the expressions in terms of dimensional analysis.

UrbanXrisis
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Does 32.7s^-1=3.27s ?
 
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Assuming that s is seconds, no.

s^-1 can't equal s.

--J
 
32.7s^-1=1/3.27s ?
 
UrbanXrisis said:
Does 32.7s^-1=3.27s ?

Yes. E.g. if [itex]s = \sqrt {10}[/itex]

:smile:
 
[tex] 32.7s^{-1} = \frac{32.7}{s}[/tex]
 
UrbanXrisis said:
32.7s^-1=1/3.27s ?

is the exponent for the unit, or the number?

if it is for the number

(1/32.7) s

if its for the unit, it would indicate (1/s) which to me means per second.
 
32.7 s^-1 = 32.7/s

If you want the magnitude in the denominator, you have to write,

[tex]\frac{32.7}{s} = \frac{1}{\frac{s}{32.7}} = \frac{1}{.3058s}[/tex]

-J
 

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