To make a word tornado use Illustrator's Effect>3D>Revolve to make a tornado shape and wrap text around it.
Make half of a tornado shape. I drew a rectangle then used the pen tool, clicked the lower point on edge of rectangle, then clicked the upper left corner and dragged right holding Shift until it looked like this.
I selected the line and and the rectangle and used Pathfinder>Divide, ungrouped and deleted the other piece of the rectangle.
I selected the half tornado and opened Effect>3D>Revolve. I bent the tornado back to make it look higher than the viewer. I slanted it and applied some perspective until I liked it.
Say okay to the tornado dialogue for now.
To wrap the text on: you must apply the text as a symbol, this requires that you prepare and style your text beforehand. Get your text styled how you want and sized for the tornado. Drag it onto the symbols panel and choose export type: graphic.
Now to return to your tornado's 3D window select it, open the Appearances panel and double click the Revolve appearance. Select Map Art and in the following window choose your new text symbol and which side of the tornado you want to put it on.
Drag and position the text with preview selected. Slant and scale the text to get good results. Select Invisible Geometry if you want the tornado base to disappear leaving only the text.
For your other example I made a very crude demonstration but the same approach will work, make the shape with the 3D revolve tool, it can be a cylinder, sphere or hourglass, any wheel shape. Make a custom symbol and wrap it around using the same 3D>Revolve window.