Calculating Period T in Terms of pi, λ, and g

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SUMMARY

The discussion focuses on calculating the period T of a wave in terms of pi (π), wavelength (λ), and gravitational acceleration (g). The key equations established include T = λ/V, where V is derived from V = √(g/k) and k = 2π/λ. The relationship between frequency and period is also highlighted, with T = 1/frequency and λ = velocity/frequency. The participants emphasize the need to manipulate these equations to express T solely in terms of π, λ, and g.

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Homework Statement



Find the period T for a wave of wavelength (lambda) .
Express the period in terms of pi, lambda , and g.


Homework Equations



T = lambda/velocity,
lambda = velocity/frequency
T= 1/frequency
k (wave number) = 2pi/lambda
V = Squareroot of (g/k)

The Attempt at a Solution


Ive tried several attempts but nothing leads me to the terms I needed alone. More will be added later if I find out.
 
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sphouxay said:

Homework Equations



T = lambda/velocity,
lambda = velocity/frequency
T= 1/frequency
k (wave number) = 2pi/lambda
V = Squareroot of (g/k)

The Attempt at a Solution


Ive tried several attempts but nothing leads me to the terms I needed alone. More will be added later if I find out.
As you said, T = λ/V. This is a good starting point.
Next, you can use your expression for V here.
 

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