- #1
particlemania
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Homework Statement
Is Time Period = \int \frac{1}{v} dx ??
If yes, the under what limits of integration??
Time Period: Limits of Integration?
- Thread starter particlemania
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AI Thread Summary
The discussion centers on whether the time period can be expressed as the integral of 1/v with respect to x. It confirms that if x is a function of time and v is non-zero, the integral can indeed represent time, and any limits of integration can be applied. However, if velocity (v) equals zero at any point, the validity of this approach may be questioned. Participants are encouraged to clarify the specific problem being addressed for better guidance. The conversation highlights the importance of understanding the relationship between position, velocity, and time in integration.
Is Time Period = \int \frac{1}{v} dx ??
If yes, the under what limits of integration??
- #2
fluidistic
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particlemania said:
Could you please provide more information? What problem are you solving?
- #3
tiny-tim
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Hi particlemania! 
If x is a function only of t, and if v = dx/dt, and is non-zero, then yes ∫ dx/v = ∫ (dt/dx)dx = ∫ dt, and this should work for any limits.
If v = 0 at some point, it may still work … what do you think?
particlemania said:
If x is a function only of t, and if v = dx/dt, and is non-zero, then yes ∫ dx/v = ∫ (dt/dx)dx = ∫ dt, and this should work for any limits.
If v = 0 at some point, it may still work … what do you think?
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And one more spoiler:
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