Find Beta of <60,-50,40>: Solving the Equation

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Homework Help Overview

The discussion revolves around finding the angle beta (β) from the vector <60, -50, 40> using the cosine formula. The original poster attempts to calculate β using the cosine of the angle derived from the y-component of the vector and its magnitude.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of the angle using the cosine function and the significance of rounding to the correct number of significant figures. There is confusion regarding how to express the angle in two significant figures, with some participants questioning the rules of significant figures.

Discussion Status

The discussion is ongoing, with participants providing insights into significant figure rules and expressing uncertainty about the correct representation of the angle. There is no explicit consensus on how to round the angle correctly.

Contextual Notes

Participants reference the need to express the angle to two significant figures, while also noting that the book provides answers to three significant figures. There is a lack of clarity on the rules governing significant figures in this context.

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Homework Statement



Find Beta of <60,-50,40>

Homework Equations



Cosine β = Ay/lAl


The Attempt at a Solution



lAl = 87.74964387

So its arccos(-50/87.75) = 124.62

express to 2 significant figures and it keeps telling me I am wrong. I rounded to 125. kept at 124.62.. etc.
 

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And i got the answer book telling me this
 

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The book answers are clearly expressed to three significant figures. What is your correct response for the angle you determined expressed to two significant figures?
 
Online it tells me to do 2 sig figs.
 
PhanthomJay said:
The book answers are clearly expressed to three significant figures. What is your correct response for the angle you determined expressed to two significant figures?
And it's 125 degrees
 
xtrubambinoxpr said:
And it's 125 degrees
No, that is three significant figures. What is 124.62 degrees expressed to two significant figures??
 
PhanthomJay said:
No, that is three significant figures. What is 124.62 degrees expressed to two significant figures??
I honestly don't know because it clearly has 3 at 125
How would I make that 2 sig figs
 
xtrubambinoxpr said:
I honestly don't know because it clearly has 3 at 125
How would I make that 2 sig figs
I am not an expert on significant figure rules, but you can find them through Google and other search engines. But here is a hint: 141.635 rounded to four sig figs is 141.6. If rounded to three sig figs it is 142; that same number rounded to two sig figs is 140. And that same number rounded to one sig fig is 100.
 

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