Amplitude of buoyancy oscillations in the troposphere. Show that, if N2 GT 0, de

Question

Amplitude of buoyancy oscillations in the troposphere. Show that, if N2 GT 0, delta z = Acos Nt + Bsin Nt, is the general solution to Equation (1) above. A and B are constants that depend on the initial conditions. An air parcel initially at equilibrium with its environment is given an impulsive updraft of 1 m s'1, so deltaz = 0 and w = 1 m s-1 at t = 0. If T = 5 K km4, find the maximum height (in m) the air parcel will rise above its initial position. For the calculation, you can assume T0= 300 K.

Explanation / Answer

b.

{ T / (Final height - initial height) } = lapse rate

Given:

Lapse rate = 5 k/Km

Initial height = 1 m at time (t) = 0 s

Temperature = 300 k

Final height = ?

Solution:

{ 300 / (final height - 1) } = 5

300/5 = final height - 1

60 = final height - 1

Therefore the maximum height = 60-1 = 59 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.