British English: How do you pronounce this word? (-rd)

[tungemål]

"Sword"

This word is only taken as an example of the combination "rd", and by extension I am also interested in the combination "rt" and "rn" (e.g. "sort" and "scorn").

How to pronounce this in British English (Received Pronunciation or other dialects)? So, the basic rule is that "r" is not pronounced before a consonant, whereas in American English it is. It is written phonetically as /sɔːd/.

However is this the whole truth? I imagine that the "r" will influence a "d" or a "t" following it, but I am not sure. If the "r" is not heard at all in the word and /sɔːd/ is an accurate representation, that means "sawed" and "sword" are pronounced exactly the same. Are they?

(edited grammatical mistake)

[Speakeasy]

I notice that some non-native speakers of English pronounce the consonant "w" which is something that, as a native-speaker of (Canadian) English, sounds odd to me.

In the two demonstrations below, from YouTube, the British speakers round the vowel in a manner that, to my Canadian ears, seems typically British. In my experience, this pronunciation of the vowel distinguishes it from Canadian and American pronunciation.

As to the final consonant(s), I agree with your statement that North American practice would be to pronounce both of them. In the examples below, I "think" I hear both of them being pronounced, but it is quite possible that "my mind expects to hear them" and is simply playing tricks on me. Goodness knows, it DOES play around with me an awful lot!

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[DaveAgain]

I'm from southern England. I recorded the words with Vicaroo.com: "sword, sort, scorn. The man sawed some wood. The man sheathed his sword."

[Dragon27]

If the "r" is not heard at all in the word and /sɔːd/ is an accurate representation, that means "sawed" and "sword" are pronounced exactly the same. Are they?

Yes, and you can add "soared" to the mix.
Compare the pronunciation of these words on forvo:
https://forvo.com/word/sword/#en
https://forvo.com/word/sawed/#en
https://forvo.com/word/soared/#en
click on the pronunciation by TopQuark (Male from United Kingdom)

edit: for some reason it doesn't show the length symbol in /sɔː d/ (unless it's followed by space) on Microsoft Edge

[Neurotip]

However is this the whole truth? ... "sawed" and "sword" are pronounced exactly the same. Are they?

Yep.

I imagine that the "r" will influence a "d" or a "t" following it, but I am not sure.

Nope! There just isn't an 'r'. Pure orthographic convention from our point of view.
We're talking here about Southern British Standard or whatever it's called these days - there are certainly plenty of native speakers of rhotic accents within the British Isles who would make a distinction. Even within 'standard' BrE, this vowel is a long monophthong for some and a diphthong falling towards schwa for others. But I would be surprised to come across a non-rhotic British accent which made any distinction between 'sword', 'sawed' and 'soared'.