Maybe you can get away with it in Canada, but the OP stated he was inquiring about the US. If you can show me the NEC article that allows this, I'll believe you, but NEC table 310.16 clearly states 10ga copper wire no more than 2 conductors in a raceway (like Romex, for instance) is rated for 30 amps unless it has a higher temperature rating as I stated.
Furthermore Article 440.6 (A) states. "Exception No. 1: Where so marked, the branch-circuit selection current shall be used instead of the rated load current to determine the rating or ampacity of the disconnecting means, the branch circuit conductors, the controller and the branch-circuit short-circuit and the ground fault protection.
I don't have a copy of the US code, however, I know all that is covered in 430 and 440. 430 is motors in general, 440 is hermetic refrigerant types. In Canada, motors are all in our section 28 and I know the rules are similar, though quite likely not identical. There are many nuances depending on the type of motor (hermetic type refrigerant motors are covered separately, specifically, for example), the duty rating, demand factor for intermittent use, etc. etc.
In essence, it generally all comes down to the fact that the conductor must be sized for 125% of the FLA (full load amperes) like most loads are computed, so in this case the 10ga is just enough at 24A x 1.25 = 30A (probably why they rated it right at 24A
) but you can use a larger circuit breaker or "standard code fuse" to prevent tripping on startup from the instantaneous current spike. Though you would generally use the lowest amperage that would prevent nuisance tripping, in most situations you are actually allowed to use all the way up to up to 175% if necessary, though there are tables that you must consult to ensure you're not too far over the ampacity of the given conductors. For time delay fuses it is more like 150% of the FLA.
It is basically the same kind of reason that you're allowed to plug an 18ga corded appliance into a standard 15 A circuit. It can still carry enough fault current intermittently to open the overcurrent device on a short (or, in this case of a motor, a locked rotor.) "Tinsel cord" (christmas lights) is even allowed to be all the way down to 27ga and plugged into a 15 A breaker, but at that point I would think the wire would act as a fuse before the breaker tripped.
I don't have my code books handy or I would look up the specific tables but that is irrelevant anyway since we're talking US NEC, though I know the rules on motors and the allowed oversizing of breakers is similar. Always sizing the conductors for the starting load or for the LRA (locked-rotor amperes) would be silly and wasteful. The code has allowances for that, just for starting motor loads...
The OP would probably be fine with a 30 A type T, I don't expect it would probably blow all the time but a 40A breaker or standard code fuse would obviously be the ideal choice. A standard 30A breaker probably wouldn't work reliably... Nuisance trips...
If anyone can point me to a copy of section 430 and 440 of your code, I would be interested to read it out of curiosity...