- #31
voko
- 6,053
- 391
Yes, except it is /|RD|, not /sqrt(|RD|).
Measuring parallel velocity in rotating frame.
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SUMMARY
The discussion focuses on calculating the velocity of a bird as detected by a police officer on a rotating circular platform. The officer's velocity is given by the formula ωR(cos(ωt), -sin(ωt)), while the bird's velocity in the lab frame is constant at (v0, 0). The participants clarify that the relative velocity of the bird with respect to the officer must be calculated by subtracting the officer's velocity from the bird's velocity, leading to the final expression for the detected velocity: {v0^2t - v0R[sin(ωt) + ωtcos(ωt)]}/√[R^2 + (v0t)^2 - 2v0Rtsin(ωt)].
PREREQUISITES- Understanding of rotational dynamics and reference frames.
- Familiarity with vector mathematics and projections.
- Knowledge of angular velocity and its implications in motion.
- Proficiency in using scalar (dot) products for vector calculations.
- Study the principles of rotating reference frames in physics.
- Learn about vector projections and their applications in motion analysis.
- Explore angular velocity calculations and their effects on moving objects.
- Investigate the use of dot products in determining angles between vectors.
Students and professionals in physics, particularly those focusing on dynamics and motion analysis, as well as anyone preparing for exams in mechanics involving rotating systems.