Chapter 8: Problem 68
Give a common, everyday example for each of the following: (a) an object that has zero rotational kinetic energy but nonzero translational (linear) kinetic energy, (b) an object that has zero translational (linear) kinetic energy but nonzero rotational kinetic energy, (c) an object that has nonzero rotational and translational kinetic energies.
Short Answer
Step by step solution
Understand Rotational and Translational Kinetic Energy
Identify an Object with Zero Rotational and Nonzero Translational Kinetic Energy
Identify an Object with Zero Translational and Nonzero Rotational Kinetic Energy
Identify an Object with Both Rotational and Translational Kinetic Energy
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Translational Kinetic Energy
When looking at examples of translational kinetic energy in everyday life, consider:
- A rolling ball moving in a straight path on a flat surface.
- A train traveling along a track.
- A person running in a straight line.
Rotational Kinetic Energy
The rotational kinetic energy is significant in scenarios such as:
- The spinning wheel of a bicycle when the bike is stationary.
- A ceiling fan spinning overhead.
- The blades of a wind turbine rotating as they generate power.
Moment of Inertia
Moment of inertia can vary greatly depending on the shape and axis:
- A solid cylinder rotating about its central axis has a different moment of inertia than a hollow cylinder of the same mass.
- The distribution of weight in a figure skater's body affects her moment of inertia when she pulls in her arms to spin faster.
- A door rotating around its hinges has a different inertia compared to a merry-go-round with distributed seats.
Angular Velocity
Scenarios often involving considerations of angular velocity include:
- A Ferris wheel turning slowly on a fairground, illustrating low angular velocity.
- The rapid spin of a washing machine drum during the spin cycle showing high angular velocity.
- Changes in a figure skater's speed when she tucks her arms in, which alters her angular velocity.