mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

Big Ben Strikes Again

 2017-06-03 
As a child, I was a huge fan of Captain Scarlet and the Mysterons, Gerry Anderson's puppet-starring sci-fi series. As an adult, I am still a huge fan of Captain Scarlet and the Mysterons. Set in 2068, the series follows Captain Scarlet and the other members of Spectrum as they attempt to protect Earth from the Mysterons. One of my favourite episodes of the series is the third: Big Ben Strikes Again.
In this episode, the Mysterons threaten to destroy London. They do this by hijacking a vehicle carrying a nuclear device, and driving it to a car park. In the car park, the driver of the vehicle wakes up and turns the radio on. Then something weird happens: Big Ben strikes thirteen!
The driver turning on the radio. Good to know that BBC Radio 4 will still broadcast at 92-95FM in 2068.
Following this, the driver is knocked out again and wakes up in a side road somewhere. After hearing his story, Captain Blue works out that the car park must be 1500 yards away from Big Ben. Using this information, Captains Blue and Scarlet manage to track down the nuclear device and save the day.
A map of London with a circle of radius 1500 yards drawn on it.
After rewatching the episode recently, I realised that it would be possible to recreate this scene and hear Big Ben striking thirteen.

Where does Big Ben strike thirteen?

At the end of the episode, Captain Blue explains to Captain Scarlet that the effect was due to light travelling faster than sound: as the driver had the radio on, he could hear Ben's bongs both from the tower and through the radio. As radio waves travel faster than sound, the bongs over the radio can be heard earlier than the sound waves travelling through the air. Further from the tower, the gap between when the two bongs are heard is longer; and at just the right distance, the second bong on the radio will be heard at the same time as the first bong from the tower. This leads to the appearance of thirteen bongs: the first bong is just from the radio, the next eleven are both radio and from the tower, and the final bong is only from the tower.
Big Ben's bongs are approximately 4.2s apart, sound travels at 343m/s, and light travels at 3×108m/s (this is so fast that it could be assumed that the radio waves arrive instantly without changing the answer). Using these, we perform the following calculation:
$$\text{time difference} = \text{time for sound to arrive}-\text{time for light to arrive}$$ $$=\frac{\text{distance}}{\text{speed of sound}}-\frac{\text{distance}}{\text{speed of light}}$$ $$=\text{distance}\times\left(\frac1{\text{speed of sound}}-\frac1{\text{speed of light}}\right)$$ $$\text{distance}=\text{time difference}\div\left(\frac1{\text{speed of sound}}-\frac1{\text{speed of light}}\right)$$ $$=4.2\div\left(\frac1{343}-\frac1{3\times10^8}\right)$$ $$=1440\text{m}\text{ or }1574\text{ yards}$$
This is close to Captain Blue's calculation of 1500 yards (and to be fair to the Captain, he had to calculate it in his head in a few seconds). Plotting a circle of this radius centred at Big Ben gives the points where it may be possible to hear 13 bongs.
Again, the makers of Captain Scarlet got this right: their circle shown earlier is a very similar size to this one. To demonstrate that this does work (and with a little help from TD and her camera), I made the following video yesterday near Vauxhall station. I recommend using earphones to watch it as the later bongs are quite faint.
×3      ×3      ×5      ×3      ×4
(Click on one of these icons to react to this blog post)

You might also enjoy...

Comments

Comments in green were written by me. Comments in blue were not written by me.
Very late to this but how excellent! My Gerry Andersen experiences were at the start of his output...I even watched Stingray in black and white.
(anonymous)
×4   ×3   ×3   ×3   ×3     Reply
@g0mrb: Thanks for letting me know, I'll look into it...
Matthew
×3   ×4   ×4   ×4   ×5     Reply
There is no sound in this video, using Safari in iOS 12.1.1 Beta.
g0mrb
×4   ×5   ×4   ×4   ×4     Reply
This is awesome and wonderful. I salute you.
Ben Sparks
×10   ×5   ×5   ×4   ×4     Reply
Wow! This has made my weekend.
Tony Mann
×3   ×3   ×3   ×3   ×3     Reply
 Add a Comment 


I will only use your email address to reply to your comment (if a reply is needed).

Allowed HTML tags: <br> <a> <small> <b> <i> <s> <sup> <sub> <u> <spoiler> <ul> <ol> <li> <logo>
To prove you are not a spam bot, please type "axes" in the box below (case sensitive):

Archive

Show me a random blog post
 2026 

May 2026

World Cup stickers 2026

Apr 2026

A new puzzle every day
Mixing Wordle with other games

Feb 2026

Christmas (2025) is over
 2025 

Dec 2025

Christmas card 2025

Nov 2025

Christmas (2025) is coming!

Sep 2025

The partridge puzzle

Aug 2025

TMiP 2025 puzzle hunt

Jun 2025

A nonogram alphabet

Mar 2025

How to write a crossnumber

Jan 2025

Christmas (2024) is over
Friendly squares
 2024 

Dec 2024

A regular expression Christmas puzzle
Christmas card 2024

Nov 2024

Christmas (2024) is coming!

Feb 2024

Zines, pt. 2

Jan 2024

Christmas (2023) is over
 2023 
▼ show ▼
 2022 
▼ show ▼
 2021 
▼ show ▼
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

a gamut of games errors reddit weather station tennis realhats sound news crossnumbers world cup draughts hats determinants accuracy palindromes polynomials football cambridge boundary element methods programming dataset stirling numbers numbers thirteen talking maths in public final fantasy geogebra dates reuleaux polygons dragon curves friendly squares flexagons propositional calculus turtles regular expressions inverse matrices radio 4 fence posts golden spiral partridge puzzle rugby exponential growth arithmetic data preconditioning game of life graph theory manchester fractals bempp nonograms braiding geometry alphabets convergence sport sorting pascal's triangle tmip pokémon finite element method php binary manchester science festival data visualisation hannah fry signorini conditions correlation logic runge's phenomenon graphs london underground oeis numerical analysis sobolev spaces interpolation edinburgh estimation stickers royal baby newcastle raspberry pi pokémon wordle phd tetris guest posts gaussian elimination game show probability databet trigonometry mean mathsjam misleading statistics pi coventry live stream ucl finite group rust probability logo wool books martin gardner plastic ratio statistics hyperbolic surfaces matrix of cofactors folding paper platonic solids people maths noughts and crosses cross stitch youtube asteroids puzzles gather town pac-man chess python wordle matrix of minors javascript quadrilaterals menace weak imposition light captain scarlet triangles ternary christmas dinosaurs inline code simultaneous equations gerry anderson golden ratio harriss spiral bluesky national lottery bubble bobble curvature nine men's morris warwick wave scattering bots mathsteroids speed arrangement puzzles hexapawn video games machine learning frobel chebyshev map projections error bars latex pi approximation day kings london crosswords standard deviation datasaurus dozen matrices the aperiodical countdown computational complexity mathslogicbot bodmas recursion pizza cutting european cup crochet christmas card folding tube maps anscombe's quartet 24 hour maths go advent calendar rhombicuboctahedron crossnumber zines pythagoras electromagnetic field coins matrix multiplication kenilworth fonts craft royal institution logs chalkdust magazine matt parker approximation big internet math-off squares games

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2026