The ‘dollar’ is mentioned once in the Constitution:
The migration or importation of such persons as any of the states now existing shall think proper to admit, shall not be prohibited by the Congress prior to the year one thousand eight hundred and eight, but a tax or duty may be imposed on such importation, not exceeding ten dollars for each person.
This is the infamous block on the abolition of the slave trade put into Article I Section 9 to placate the plantation owners crafting American capitalism through the blood and bodies of African peoples. It actually is not referencing United States dollars (which did not exist yet) but Spanish dollars, the currency used in the Spanish colonies. However Spanish dollars were Alexander Hamilton’s basis for creating the worth of the US dollar. Originally the USD’s value was based in silver, not gold: the Coinage Act set its value at 371 4/16 grain pure silver. The Coinage Act arose from a very simple directive of the Constitution, Article I Section 8: “To coin money, regulate the value thereof, and of foreign coin, and fix the standard of weights and measures.” But this provision is going to provide some very interesting problems for us later on.