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Understanding Circular Motion: Tangential Velocity, Centripetal Force, and Torque Calculations

This review explores key concepts of circular motion in physics, including tangential velocity, centripetal acceleration, and torque. We analyze scenarios such as a teacher spinning a cup of water and a racecar navigating a track. Using real-world applications, we calculate tangential velocity, centripetal force, and explore the dynamics of uniform circular motion. Understanding these principles is critical for grasping how objects behave in circular paths and the forces acting upon them. Engage with practical problems to enhance your physics knowledge!

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Understanding Circular Motion: Tangential Velocity, Centripetal Force, and Torque Calculations

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Presentation Transcript

  1. UCM and Torque Review

  2. Your physics teacher is spinning a cup of water around their head at the end of a string that is 0.8 m long. Assuming they can spin it at 3 revolutions per second, what is the tangential velocity of the cup?

  3. If your physics teacher was spinning a 0.25 kg cup around their head on the end of a 0.5 m long rope with a tangential velocity of 2 m/s, what would the centripetal acceleration be?

  4. What is torque and how can you calculate it?

  5. What explains why an object traveling in uniform circular motion will move tangent to that circular path if the centripetal force is removed?

  6. Suppose a 985 kg racecar is traveling at 250 m/s down the straight side of a track. How much centripetal force is required to keep that racecar on the track if the radius of the curved end of the track is 125 m.

  7. A ball is whirled in a horizontal circle of radius r, speed v and acceleration a. • The velocity is increased to 2v. The acceleration of the ball is:

  8. A ball is whirled in a horizontal circle of radius r, speed v and acceleration a. • The period is increased to 2T. The velocity of the ball is:

  9. A ball is whirled in a horizontal circle of radius r, speed v and acceleration a. • The radius is increased to 2r. The velocity of the ball is:

  10. A child standing on a merry go round has a tangential velocity of 4 m/s and makes a complete revolution every 3 seconds. What is the radius of the merry go round?

  11. A top spins with an acceleration of 8 m/s2. If the top has a radius of 0.3 m, what is the tangential velocity a sticker on the top?

  12. An a salt shaker on a lazy Susan with a radius 0.4 m makes 36 revolutions in 18 seconds. What is the centripetal acceleration of the salt shaker?

  13. A dog of mass 85 kg spins in a circle as it chases his tail. If he has a radius of 0.8m and makes a complete circle in 1.3 s, how much centripetal force does he required?

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