Determine the maximum wind speed for a tropical cyclone


Problem

A. Find the pressure difference at the top of Erik's Imaginary Typhoon of Puppies and its surroundings, assuming a central pressure of 91.4 kPa, an external pressure of 101.2 kPa, and a core temperature that is 26.6 K warmer than its surroundings. Show calculations.

B. Determine the maximum wind speed for a tropical cyclone with the following wind speeds. Assume the ambient (external) pressure to be 101.3 kPa: Pressure of 89.6 kPa and Pressure of 97.7 kPa Show all calculations

C. Calculate the maximum possible wave height AND wavelength for the following wind speeds. Assume unlimited fetch. SHOW all calculations: a. 39 mph, b. 70 mph, c. 54 mph

D. A thunderstorm is approaching from the northeast that creates a visible lightning strike. A gust front originating from the storm produces winds of 9.7 m s-1 at your location. The temperature at you location is 24.8?C. If you hear thunder 7 seconds after seeing the lightning, how far away was the lightning? Show calculations

E. Determine what voltage is necessary for a lightning bolt to reach the ground from clouds of the following heights: a. 2.9 km, b. 6.8 km Show calculations. c.Do the results from a) and b) agree with what you know of the relative strengths of positive and negative lightning bolts?

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