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This video—if it is meant to be serious advice at all for someone trying to learn an accent—is terrible. It won’t help anyone produce a more authentic-sounding American accent.
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This video—if it truly reflects the views of British people trying to learn American accents—also explains in part a lot of bad American accents by British actors going way overboard on their Rs.
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This video is a very bad way of explaining the difference between rhotic and non-rhotic accents, largely because it take the position that the absence of an R sound is a type of R sound.
Like others in this threat, I have never heard an American accent with R sounds in these words. Please explain.
Yes, it is pretty common in some English-English accents for word-final R to be pronounced when it links two vowel sounds. In fact, this linking-function often happens even when there is no R there, and in that case it’s called an “intrusive R.” The intrusive R can become to ingrained that some people will deny they’re doing it, even if it is perfectly clear.
Only for people with an attitude problem concerning IPA. The IPA has clear one-sound-to-one-symbol correspondence, and it avoids statements like these, which will make half your audience think you’re out of your mind: