Does federal law require overtime payments for more than 8 hours in one day?

No.

Federal law – the Fair Labor Standards Act – requires overtime payments (1.5 times the regular rate) for hours that are more than 40 in one week.

Federal law does NOT require overtime payments for more than 8 hours in one day.

Many state statutes do require overtime payments calculated on a daily basis, so you need to check you local laws.

Your results may vary. If you have this issue, consult a good employment lawyer.
(Not me, I'm an arbitrator.)

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