Sounds like my old Mac Mini. It was quiet as a mouse, but as soon as I launched Safari, the fan would start whirring like mad. Why? The Flash plugin. As soon as there's some tiny Flash banner or other Flash-based content on a webpage, the temperature goes through the roof like the machine was handling some extremely complex 3D game. The reason is that Adobe (the old Macromedia part of Adobe, specifically) uses ancient rendering techniques for Flash. Rather than take advantage of Core Graphics on Mac or Vista's DWM on PC, which would offload all video tasks to the GPU, it puts all the load on the CPU. The result is that the machine has to work up a sweat just to keep some silly little 2D Flash animation going. It's even worse on the Mac, where animations that run reasonably smoothly on PC are painfully slow and jerky.
Hopefully this will change soon, it looks like the new Flash CS4 will be able to handle 3D animations, and there's no way they can do that without using modern hardware accelerated rendering.