How many vowel sounds?!

Today in class we were looking at the pronunciation of the words below:
upbringing
obliged
physically
obligated
strict
liberal
"kind of"
vowel
apocalypse


I noticed that a lot of the vowel sounds could use some sharpening.  Here's a link to a site where you can here examples of the vowel sounds linked to a chart like the one we have in class.  http://www.onestopenglish.com/skills/pronunciation/phonemic-chart-and-app/interactive-phonemic-chart/

There's also a free app for your iPhone or iPod here.