It's either (1), a roadster - that is, no roll up windows or (2), a convertible - with roll up windows. Yours, IMHO looks to be a roadster.

http://en.wikipedia.org/wiki/Ford_V8

If it had a solid front windshield, soft top and roll up windows then it would be a cabriolet (or in other terms, a convertible)

http://www.autogallery.org.ru/ford1932.htm

But then, what do I know and of course the people in charge will need a good argument from you