Physics: Vector Help - Magnitude & Angle Calculations

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Homework Help Overview

The discussion revolves around vector calculations, specifically focusing on determining the equilibrant vector's magnitude and angle, as well as finding the components of a vector given its magnitude and angle. The subject area includes vector analysis and trigonometry.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand how to calculate the equilibrant vector and the components of a given vector based on its magnitude and angle. Some participants provide formulas for calculating vector components, while others question the meaning of counter-clockwise angle measurement.

Discussion Status

The discussion includes attempts to clarify concepts related to vector components and angle measurement. Some guidance has been offered regarding the use of trigonometric functions to find components, but confusion remains about the interpretation of angle direction.

Contextual Notes

Participants are navigating the definitions of angle measurement in relation to vector components, with some expressing uncertainty about the implications of counter-clockwise angles. There is a reference to previous discussions on similar topics, suggesting a broader context of inquiry.

buffgilville
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Can someone please help me with this?
1) A resultant vector is 5 units long and makes an angle of 23 degrees measured counter-clockwise with respect to the positive x-axis. What are the magnitude and angle (measured counter-clockwise with respect to the positive x-axis) of the equilibrant vector?

2) Find the x- and y-components of the vector whose magnitude is 8.73 units making an angle of 155 degrees measured counter-clockwise with respect to the positive x-axis.
 
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These kinds of questions have already been answered, look at some other posts.

Think of the fact that the x-component of a vector of magnitude F and angle x with the x-axis is
equal to F*cos (x). The y-component is F*sin(x)

Once the components are given you can work the other way around and determin the magnitude of the vector as F = sqrt(x² + y²)

regards
marlon
 
But what does the counter-clockwise mean? Does it mean that the angle is negative? I'm confused.
 
Last edited:
Clockwise means a negative angle, and counter-clockwise means a positive angle.
 

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