A tornado can be idealized as a Rankine vortex with a core of diameter 30 m. See the description of a Rankine vortex In Fig. 11.A1. The gage pressure at a radius of 15 m is -2000 N/m² (that is, the absolute pressure is 2000 N/m2 below atmospheric). a. Show that the circulation around any circuit surrounding the core is 5485 m²/s. (Hint: apply the Bernoulli equation between infinity and the edge of the core.) b. Such a tornado is moving at a linear speed of 25 m/s relative to the ground. Find the time required for the gage pressure to drop from -500 N/m2 to -2000 N/m². Neglect compressibility effects and assume an air temperature of 25°C. (Note that the tornado causes a sudden decrease of the local atmospheric pressure. The damage to structures is often caused by the resulting pressure excess on the inside of the walls, which can cause a house to explode.) c. Be suitably impressed.

A tornado can be idealized as a Rankine vortex with a core of diameter 30 m. See the description of a Rankine vortex In Fig. 11.A1. The gage pressure at a radius of 15 m is -2000 N/m² (that is, the absolute pressure is 2000 N/m2 below atmospheric). a. Show that the circulation around any circuit surrounding the core is 5485 m²/s. (Hint: apply the Bernoulli equation between infinity and the edge of the core.) b. Such a tornado is moving at a linear speed of 25 m/s relative to the ground. Find the time required for the gage pressure to drop from -500 N/m2 to -2000 N/m². Neglect compressibility effects and assume an air temperature of 25°C. (Note that the tornado causes a sudden decrease of the local atmospheric pressure. The damage to structures is often caused by the resulting pressure excess on the inside of the walls, which can cause a house to explode.) c. Be suitably impressed.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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