Measured speed vs actual speed very simple

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SUMMARY

The discussion focuses on the relationship between measured speed and actual speed when using two movement detectors positioned at different angles. It establishes that a detector not aligned with the direction of movement will perceive a greater speed due to the geometric properties of triangles, specifically the hypotenuse being longer than the other sides. To calculate the difference in perceived speed, one must consider the angle of detection and the original velocity vector. The projection of the velocity vector onto the detector's line of sight will always yield a magnitude that is less than or equal to the actual speed.

PREREQUISITES
  • Understanding of basic physics concepts, particularly velocity and vector projection.
  • Familiarity with trigonometry, specifically the properties of triangles.
  • Knowledge of movement detection technologies and their operational principles.
  • Basic mathematical skills for calculating angles and projections.
NEXT STEPS
  • Research the principles of vector projection in physics.
  • Learn about the geometry of triangles and their applications in motion analysis.
  • Explore different types of movement detection technologies and their accuracy.
  • Study the mathematical formulas for calculating speed and angle relationships in motion.
USEFUL FOR

Physics students, engineers involved in motion analysis, and professionals working with movement detection systems will benefit from this discussion.

asfd
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Measured speed vs actual speed **very simple**

If we measure the speed of a moving object with two movement detector positioned as on the atttached drawing, i.e. one is facing the movement and the other makes a slight angle with the movement, does the detector not directly in the movement line "sees" a bigger speed since if we see this as a trinangle the hypotenuse is bigger than any other side. If so how can we calculate the difference(what other info do we need?)?
 

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asfd said:
If we measure the speed of a moving object with two movement detector positioned as on the atttached drawing, i.e. one is facing the movement and the other makes a slight angle with the movement, does the detector not directly in the movement line "sees" a bigger speed since if we see this as a trinangle the hypotenuse is bigger than any other side. If so how can we calculate the difference(what other info do we need?)?

The out of line detector sees the projection of the velocity vector onto the broken line. The magnitude of the projection is less than or equal to the original vector.
 

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