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4.4 Uniform Circular Motion - University Physics Volume 1 | OpenStax

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Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a propeller spinning at a constant rate is executing uniform circular motion. Other examples are the second, minute, and hour hands of a watch. It is remarkable that points on these rotating objects are actually accelerating, although the rotation rate is a constant. To see this, we must analyze the motion in terms of vectors. In one-dimensional kinematics, objects with a constant speed have zero acceleration. However, in two- and three-dimensional kinematics, even if the speed is a constant, a particle can have acceleration if it moves along a curved trajectory such as a circle. In this case the velocity vector is changing, or 𝑑 𝐯 ⃗ /𝑑𝑡≠0. 𝑑 𝑣 → / 𝑑 𝑡 ≠ 0 . This is shown in Figure 4.18. As the particle moves counterclockwise in time Δ𝑡 Δ 𝑡 on the circular path, its position vector moves from 𝐫 ⃗ (𝑡) 𝑟 → ( 𝑡 ) to 𝐫 ⃗ (𝑡+Δ

4.4 Uniform and Nonuniform Circular Motion - University Physics Volume 1 | OpenStax Skip to Content Go to accessibility page Keyboard shortcuts menu University Physics Volume 1 4.4 Uniform and Nonuniform Circular Motion University Physics Volume 1 4.4 Uniform and Nonuniform Circular Motion Contents Highlights Print Close 4.4 Uniform and Nonuniform Circular Motion By the end of this section, you will be able to: Solve for the centripetal acceleration of an object moving on a circular path. Use the equations of circular motion to find the position, velocity, and acceleration of a particle execut

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