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单词 circular motion
释义

circular motion

Motion of a particle in a circular path. Suppose that the path of the particle P is a circle in the Cartesian plane, with centre at the origin O and radius r0. Let r, v, and a be the position vector, velocity, and acceleration of P. If P has polar coordinates (r0, θ), then

Let er = i cos θ + j sin θ and eθ = −i sin θ + j cos θ, so that er and eθ are rotations of i and j by θ anticlockwise. Then the previous equations become

If the particle, of mass m, is acted on by a force F, where inline, then the equation of motion inline gives inline and inline. If the transverse component F2 of the force is zero, then inline constant and the particle has constant speed.

See also angular acceleration, angular velocity, radial and transverse components.

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更新时间:2025/4/30 8:11:45