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

  • Thread starter Thread starter sphouxay
  • Start date Start date
  • Tags Tags
    Period Pi Terms
AI Thread Summary
To find the period T for a wave in terms of pi, wavelength (λ), and gravitational acceleration (g), start with the equation T = λ/V. The velocity V can be expressed as V = √(g/k), where k is the wave number defined as k = 2π/λ. Substituting V into the period equation leads to T = λ/√(g/k). Further simplification will yield the desired expression in terms of the specified variables. This approach provides a pathway to derive T using the relationships between wave properties and gravitational effects.
sphouxay
Messages
17
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
Back
Top