SUMMARY
To determine the number of revolutions Sam's ring makes after rolling 1.0 m, we use the formula for linear velocity, vcm = rw, where r is the radius. Given the ring's radius of 0.50 cm, the circumference is calculated as π cm. The ring travels 100 cm, resulting in approximately 31.83 revolutions (100 cm / π cm). The velocity of 3.0 m/s does not directly affect the number of revolutions but indicates the speed at which the ring rolls.
PREREQUISITES
- Understanding of linear motion and rotational motion concepts
- Familiarity with the relationship between linear velocity and radius
- Basic knowledge of circumference calculation
- Ability to perform unit conversions (from meters to centimeters)
NEXT STEPS
- Study the relationship between linear velocity and angular velocity in physics
- Learn about the principles of rotational motion and torque
- Explore the concept of rolling without slipping and its implications
- Investigate real-world applications of rotational dynamics in engineering
USEFUL FOR
Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators looking for practical examples to illustrate these concepts.