SUMMARY
A 2.00-kg stone attached to a 4m rope is whirled horizontally, completing 5 revolutions in 2 seconds. The angular speed is calculated to be 2.5 revolutions per second, which converts to approximately 15.7 radians per second. The tension in the rope can be determined using the formula for centripetal force, Fc = mv²/r, where the mass (m) is 2.00 kg and the radius (r) is 4m. The discussion clarifies that this scenario does not involve a conical pendulum, as the motion occurs on a frictionless horizontal surface.
PREREQUISITES
- Understanding of centripetal force and acceleration
- Knowledge of angular speed and its conversion to linear speed
- Familiarity with the formula Fc = mv²/r
- Basic principles of circular motion
NEXT STEPS
- Calculate the tension in the rope using the centripetal force formula
- Convert angular speed from revolutions per second to radians per second
- Explore the differences between circular motion on a horizontal surface and conical pendulum motion
- Investigate the effects of friction on circular motion dynamics
USEFUL FOR
Physics students, educators, and anyone interested in understanding the principles of circular motion and centripetal force dynamics.