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对于单摆周期公式 T=2π((l/g)~(1/2)),一些资料乃至师生均有模糊甚至错误的表述或认识.一是只有当单摆的最大摆角即振幅很小时,才有 sinθ≈θ,回复力 F=-mgsinθ≈-mgθ,单摆的振动才是简谐运动,才有上述周期公式.那么,这个最大摆角是5°、是10°、还是15°?认识不一致.二是只有当摆长远大于摆球的半径时摆球才可以简化为质点,周期公式才成立.那么,如果摆长较短,短到什么程度时周期
For the single pendulum cycle formula T=2π((l/g)~(1/2)), some data, even teachers and students, have vague or even incorrect representations or understandings. One is that only when the pendulum’s maximum pendulum angle is very large Hours, there are sinθ≈θ, recovery force F = -mgsinθ≈-mgθ, single pendulum vibration is simple harmonic motion, only the above cycle formula. Then, this maximum swing angle is 5°, is 10°, or 15 °Cognitive inconsistency. Second, the pendulum ball can be reduced to particle only when the pendulum length is greater than the radius of the pendulum ball. The cycle formula is established. Then, if the pendulum length is shorter, the cycle length is shorter.