Why does a loading spinner appear after i turn off my iphone ? why not a simple text saying switching off or turning off .
closed as primarily opinion-based by DA01, Matt Obee, Charles Wesley, Joshua Barron, JonW♦ May 24 '14 at 20:42
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iOS designers tend to have a minimalistic approach when taking design decisions around interface elements (for content too, though John Ive takes occasional strolls away from that path). They generally choose not to be over-obvious in an attempt to make the interface itself to become more transparent, which is also in line with their published design guidelines.
In this case, I can imagine they thought writing it out would be a case of being too obvious.
If the user switched the device off voluntarily, the question about what's going on kind of answers itself.
In either case, an info label would do nothing or very little to help the user, thus not justifying abandoning the minimalistic ideals for.
This is my guess, though it's very hard to actually give a correct answer to questions like this.