Just how long did it take to vote Finis Valorum out and Nofirstname Palpatine in?

There's a shot of the Senate in bright sunlight, either morning or afternoon judging by the shadows. Amidala calls for a vote of no confidence in Chancellor Valorum. The Senate chamber fills with cries of, "Vote now!" The movie cuts to Anakin being tested before the Jedi Council at sunset, then to the sun setting over Palpatine's aparment building, then to Amidala in Palpatine's apartment at dusk. Palpatine walks in and Captain Panaka announces that Palpatine has been nominated for the position of Supreme Chancellor.

Wait a minute!

Now, it could be that this is dusk of a diffferent day, two or three or six weeks later, but the sun-setting shot indicates that this is in fact the same day to me. Besides, Anakin is still in his slave duds when they return to Naboo - you'd think Qui Gon would at least find him a change of clothes if they had really been on Coruscant that long.

This means that it took one day to remove the leader of the Galactic Republic from office. Doesn't that seem just a little bit short? Usually in real life there are hearings, investigations, etc. for several weeks at least to determine whether the leader should be removed and to ensure that people can't just depose leaders on a lark. You have to have a really good reason to get someone out of office too - "Because I don't really like him anymore" just doesn't cut it. (Apparently, neither does lying under oath... why should Star Wars be different?) But in TPM, the Senate can vote Valorum out of office in a day, just because they feel like it, and then still have time to nominate three candidates to replace him before happy hour.

Again, electing a Supreme Chancellor ought to take a while, but it doesn't. The Battle of Naboo doesn't even last long enough to get Amidala's velvet combat outfit dirty. The celebration might take place some time later - but the TF droids didn't damage the parts of Theed we saw much, so it's not like they'd need much time to clean up. For all we know, they cremated Qui Gon that night, cut Anakin's hair and got him some Padawan clothes right afterward, then had the celebration the next morning. (Probably not. But who knows?) And anyway, even a few weeks is an awfully short time to elect the new leader of most of the galaxy. That's not a lot of time to consider the thousands of potential candidates in the Senate. What did the Senators do, draw names out of a hat? Did they at least hold some debates first, or did they just get right to the election the day after the nomination?

The way these guys work, you have to wonder why Palpatine even needed emergency powers. The Senate seems easily swayed to act quickly and in Palpatine's interests as it is.

And finally, why does Anakin complain in AOTC about how long it takes the Senate to get things done? They seem pretty speedy to me!