(b) Within the core region of tornado, the following Rankine vortex formula can be taken to represent the radial profile of the tangential wind speed where the 'max is the radius of maximum wind speed Vmax (i) Vmax"/"max Tmax v= UmaxTmax/r, r> "max (1) Write down the momentum equation in cylindrical coordinates, assuming the flow within the tornado core is approximately in cyclostrophic balance. [3 marks] (ii) Given that the ambient pressure far from the center of cyclone is po and using the above equation (1), derive the pressure profile of a tornado as a function of r. [6 marks]
(b) Within the core region of tornado, the following Rankine vortex formula can be taken to represent the radial profile of the tangential wind speed where the 'max is the radius of maximum wind speed Vmax (i) Vmax"/"max Tmax v= UmaxTmax/r, r> "max (1) Write down the momentum equation in cylindrical coordinates, assuming the flow within the tornado core is approximately in cyclostrophic balance. [3 marks] (ii) Given that the ambient pressure far from the center of cyclone is po and using the above equation (1), derive the pressure profile of a tornado as a function of r. [6 marks]
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
![(b) Within the core region of tornado, the following Rankine vortex formula can be taken to
represent the radial profile of the tangential wind speed where the 'max is the radius of maximum
wind speed Vmax
(i)
Vmax"/"max
Tmax
v=
UmaxTmax/r, r> "max
(1)
Write down the momentum equation in cylindrical coordinates, assuming the flow within
the tornado core is approximately in cyclostrophic balance. [3 marks]
(ii)
Given that the ambient pressure far from the center of cyclone is po and using the above
equation (1), derive the pressure profile of a tornado as a function of r. [6 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb7aaba0-92e0-43d0-bd97-dbdffbd11db2%2Fbfa6d9ad-8362-414d-a4f6-6d9271e9c2c5%2F4nfafla_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Within the core region of tornado, the following Rankine vortex formula can be taken to
represent the radial profile of the tangential wind speed where the 'max is the radius of maximum
wind speed Vmax
(i)
Vmax"/"max
Tmax
v=
UmaxTmax/r, r> "max
(1)
Write down the momentum equation in cylindrical coordinates, assuming the flow within
the tornado core is approximately in cyclostrophic balance. [3 marks]
(ii)
Given that the ambient pressure far from the center of cyclone is po and using the above
equation (1), derive the pressure profile of a tornado as a function of r. [6 marks]
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