How may oz are there in a cup?

That depends on the pasta. Some pasta is quite light and made in hollow shapes, ie Farfalle, Lumache and Conchigli. ( Basically sea shells or bow-ties. )These tend to weigh about 100 grams or less per cup. Going up we have rigate, penne and radiatori , these are made from thicker pasta, denser and in more solid shapes. These run about 130 - 160 grams per cup. Finally, the heavy varieties like spaghettini and linguini - if you bunch these together and stand upright in a cup they will be 220 -235 grams per cup.