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Equation Confusion

  • Thread starter Air
  • Start date
  • #1
Air
202
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I've come across a equation and I don't understand whether [itex]T[/itex] is Time/s or Tension/N. Can someone explain this equation:

[itex]T = 2 \pi \sqrt{\frac{l}{g}}[/itex]

Thanks in advance.
 

Answers and Replies

  • #2
That would be the equation for the simple harmonic motion of a hanging mass on a pendulum.

T denotes the period of oscillation,
l the length of the string on which the mass hangs.

Notice that the period doesn't depend on how "wide" the mass swings.
 
  • #3
139
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it is time. In fact period. Put the units for them and calculute the final result.

l : m/s
g: m/s^2

(m/s) / (m/s^2) : s
 
  • #4
Air
202
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Isn't Period equal to:

[itex]P = \frac{1}{T}[/itex]

So to calculate time of oscillation, [itex]T[/itex] would need to be made subject.
 
  • #5
139
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frequence : 1/s
period : s
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
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Isn't Period equal to:

[itex]P = \frac{1}{T}[/itex]

So to calculate time of oscillation, [itex]T[/itex] would need to be made subject.
No, a "period" is a certain length of time and so has the same units as T (whatever "T" means here). The formula you give is for "frequency"- the number of times the pendulum swings during 1 second and so has units of "1/sec".
 

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