mscroggs.co.uk
mscroggs.co.uk

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.
×1            ×1            ×1
(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)
×1                 Reply
@g0mrb: Thanks for letting me know, I'll look into it...
Matthew
×1   ×1   ×1   ×1   ×1     Reply
There is no sound in this video, using Safari in iOS 12.1.1 Beta.
g0mrb
×1   ×2   ×1   ×1   ×1     Reply
This is awesome and wonderful. I salute you.
Ben Sparks
×7   ×2   ×2   ×2   ×2     Reply
Wow! This has made my weekend.
Tony Mann
×1   ×1   ×1   ×1   ×1     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 "hparg" backwards in the box below (case sensitive):

Archive

Show me a random blog post
 2024 

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

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

Archive

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