Which of the following statements about velocity is true? A) Tangential velocity is the same for both longer and shorter radii. B) Angular velocity is greater for longer radii when... Which of the following statements about velocity is true? A) Tangential velocity is the same for both longer and shorter radii. B) Angular velocity is greater for longer radii when tangential velocity is equal. C) Objects with a longer radius will have a lower tangential velocity. D) Objects with a shorter radius can achieve a higher angular velocity.
Understand the Problem
The question is asking us to identify the correct statement regarding the concept of velocity, particularly focusing on tangential and angular velocity in relation to radius. We need to analyze each of the provided options to determine which one is true based on our understanding of physics.
Answer
Objects with a shorter radius can achieve a higher angular velocity.
Objects with a shorter radius can achieve a higher angular velocity.
Answer for screen readers
Objects with a shorter radius can achieve a higher angular velocity.
More Information
The concept of angular velocity indicates that for a given tangential velocity, objects with shorter radii will indeed rotate faster, exhibiting higher angular velocity.
Tips
Confusing angular velocity with tangential velocity is a common mistake. Tangential velocity depends on both angular velocity and radius.
Sources
- Angle of Rotation and Angular Velocity - Physics | OpenStax - openstax.org
- Uniform Circular Motion - Physics | OpenStax - openstax.org
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