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It's the promised bonus footage from my "The Deepest Maths Video Ever [pressure vs depth]" video. https://www.youtube.com/watch?v=-tGusgPTSm4

Always check your units! It's just good advice for life. So when I realised during the video I had not double-checked the units of P = gρD I decided to film myself doing so as bonus footage. This is also a behind-the-scenes view inside DSV Unrealistic.

Warning: My iPad was not recording for the start of this video (or rather: it was recording for an unknown period of time before it stopped without saving). But I notice before it is too late.

PS For anyone who wanted a copy of the artist impression I had commissioned for this video, you can download it in full-res here: https://www.dropbox.com/s/qi5qb2ee8v3i31r/ARTISTS-IMPRESSION.png?dl=0

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Dimensional analysis with malfunctioning iPad [Mariana bonus footage]

This is the bonus footage of Matt checking his equation from the main video about the Mariana trench: https://www.youtube.com/watch?v=-tGusgPTSm4 My iPad was not recording for the start of this video (or rather: it was recording for an unknown period of time before it stopped without saving). But I notice before it is too late. From this Patreon post: https://www.patreon.com/posts/58371128/

Comments

Mark Widmer

Useful fact: g can also be written with units N/kg, as in the gravitational force (N) exerted per kilogram of mass. Helpful in situations like this, so you don't have to spend time writing out newtons in terms of kg, m, and s and risk making an error. p.s. Thanks, Matt, for making a simple units check highly entertaining!

Gregor Shapiro

Dimensional analysis has saved me lots of points on university exams!