Resolving Vector - Get Magnitude of F2 to 3 Sig Figs

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In summary, a vector is a mathematical quantity with both magnitude and direction. To resolve a vector, it is broken down into horizontal and vertical components using trigonometric functions. "Magnitude of F2 to 3 Sig Figs" means rounding the second force to 3 significant figures for precision. Calculating the magnitude of a vector is important in determining the overall effect of multiple forces on an object. Using 3 significant figures ensures accuracy and precision.
  • #1
Lancelot59
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This should be a really simple problem, all I need to do is get magnitude of F2 along the axes u and v to 3 sig figs.

Probs._2-4_5_6.jpg


So I did the usual thing:

u=150cos(60)=75.0
v=150cos(30)=130

Is this wrong?
 
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  • #2
It looks right to me. You may want to check your sig-figs, though.
 
  • #3
yes its good
 
  • #4
Okay. I need to enter this stuff into an automated system called MasteringEngineering. It has a massive track record of being stupid with inputs. This just seemed a little too simple for it to mess up though. Thanks.
 
  • #5


Based on the given information, your calculation for the magnitude of F2 along the axes u and v appears to be correct. However, without more context or information about the vector F2, it is difficult to determine if this is the correct approach for resolving the vector. In general, resolving a vector involves breaking it down into its components along different axes or directions. The magnitude of F2 along the axes u and v can be calculated using the Pythagorean theorem as sqrt(u^2 + v^2). To ensure 3 significant figures, you may need to round your final answer to the appropriate decimal place. It is also important to carefully consider the units and any possible sources of error in your calculation. In any case, it is always a good idea to double-check your work and make sure you are using the correct equations and units.
 

FAQ: Resolving Vector - Get Magnitude of F2 to 3 Sig Figs

1. What is a vector?

A vector is a mathematical quantity that has both magnitude (size) and direction. It is represented by an arrow with a specific length and direction.

2. How do you resolve a vector?

To resolve a vector means to break it down into its horizontal and vertical components. This is done using trigonometric functions, such as sine and cosine, to determine the magnitude and direction of each component.

3. What does "magnitude of F2 to 3 Sig Figs" mean?

This means that the magnitude of the second force in the problem should be rounded to 3 significant figures. Significant figures are used to indicate the precision of a measurement or calculation.

4. Why is it important to get the magnitude of a vector in 3 significant figures?

Using 3 significant figures ensures that the calculated magnitude is as precise as possible without including any unnecessary or uncertain digits. This helps to maintain the accuracy of the calculation.

5. Can you explain why we need to calculate the magnitude of a vector?

The magnitude of a vector is important because it represents the size or strength of the vector. In physics and engineering applications, the magnitude of a vector is often used to determine the overall effect of multiple forces acting on an object.

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