mscroggs.co.uk
mscroggs.co.uk
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

subscribe

Blog

 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      ×2      ×4      ×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   ×4     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 "w" then "i" then "d" then "t" then "h" in the box below (case sensitive):

Archive

Show me a random blog post
 2024 

Dec 2024

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

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

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2024