“amplitude”的概念、定义、习题解题方法及翻译-数学辞典

单词

amplitude

释义

amplitude

Suppose that x = A sin(ωt + α), where A ( > 0), ω and α are constants. This may, for example, give the displacement x of a particle, moving in a straight line, at time t. The particle is thus oscillating about the origin O. The constant A is the amplitude and gives the maximum distance in each direction from O that the particle attains. (ω is the angular frequency and α is the phase.)

The term may also be used in the case of damped oscillations to mean the corresponding coefficient, even though it is not constant. For example, if x = 5e^−2t sin3t the oscillations are said to have amplitude 5e^−2t, which tends to zero as t tends to infinity.

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