Equation Confusion: T Explained | 2π√l/g

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Homework Help Overview

The discussion revolves around the equation T = 2π√(l/g), which is related to the motion of a pendulum. Participants are trying to clarify the meaning of T in this context, specifically whether it represents time or tension.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of T, with some asserting it represents the period of oscillation while others question the relationship between period and frequency. There are attempts to clarify the units associated with the variables in the equation.

Discussion Status

The discussion is active, with various interpretations being explored. Some participants provide insights into the nature of the equation and its components, while others seek to confirm their understanding of the relationship between period and frequency.

Contextual Notes

There is some confusion regarding the units of measurement for the variables involved, particularly l and g, and how they relate to T. The conversation reflects a mix of assumptions and clarifications about the equation's application in the context of pendulum motion.

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I've come across a equation and I don't understand whether T is Time/s or Tension/N. Can someone explain this equation:

T = 2 \pi \sqrt{\frac{l}{g}}

Thanks in advance.
 
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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.
 
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
 
Isn't Period equal to:

P = \frac{1}{T}

So to calculate time of oscillation, T would need to be made subject.
 
frequence : 1/s
period : s
 
Air said:
Isn't Period equal to:

P = \frac{1}{T}

So to calculate time of oscillation, T 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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