The earth spins because the dust cloud from which it was made was spinning, and this motion was preserved due to the law of conservation of angular momentum.
Because of the way it was made – the Earth was made by lots of spinning particles of dust and it keeps spinning because there’s no forces there to stop it.
… but why was the dust cloud spinning in the first place? This is a good example of the sort of question that computer modelling can help with. I think that if you run lots of simulations of how the planet might have been formed, it always ends up spinning. I reckon because new dust comes along from somewhere, already with momentum that will nudge the growing planet some way or other, and it is extremely unlikely that the effects of the incoming dust will just cancel out, leaving the planet still.
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