SUMMARY
The relation v = rω is valid for both uniform and non-uniform circular motion. In uniform circular motion, v is constant and can be derived from the equations v = 2πr/T and ω = 2π/T. For non-uniform circular motion, where angular velocity (ω) is variable, the tangential speed (v) also becomes variable, confirming that the relationship holds true even in accelerated motion.
PREREQUISITES
- Understanding of angular velocity and tangential speed
- Familiarity with the concepts of uniform and non-uniform circular motion
- Basic knowledge of kinematic equations
- Ability to interpret mathematical relationships in physics
NEXT STEPS
- Study the principles of angular acceleration in circular motion
- Explore the effects of varying radius on tangential speed
- Learn about the relationship between centripetal acceleration and angular velocity
- Investigate real-world applications of non-uniform circular motion in engineering
USEFUL FOR
Physics students, educators, and professionals in engineering or mechanics who seek to deepen their understanding of circular motion dynamics.