ELFT HÍRADÓ

[Banyasz Istvan <banyasz.istvan AT wigner.hu>]

Dear Colleagues,

Here is a simple problem to be solved:

Solve the following problem: The Task Force of the British Royal Navy was 
cruising home to Singapore on the South China Sea after having not been 
able to impede the invasion of Malaysia by the Imperial Japanese Army and 
Navy on 10 December 1941. Submarine I-58 of the Imperial Japanese Navy 
spotted the convoy at 03:40. She was at a distance of 10 km from the 
Repulse battleship at that moment. After having received permission to 
engage, submarine I-58 surfaced and prepared for battle. Maintaining the 
separation of 10 km from Repulse, the submarine began cruising at the same 
course and speed as Repulse. Speed of both vessels was 40 km/h. The 
submarine I-58 fired no fewer than 5 Type 90 torpedoes at the battleship. 
At what angle did the torpedoes have to be fired in relation to the 
submarine's direction of travel in order to hit the battleship, if the 
speed of the torpedos was 70 km/h? (Suppose that Repulse did not make 
evasive maneuvers in the meantime.) Ignore drag and and possible sea 
currents.

(The Repulse and the battleship Prince of Wales were sunk by Japanese 
bombers and torpedo bombers in the subsequent sea battle.)


5Dr. István Bányász


Department of Materials Science by Nuclear Methods
Wigner Research Centre for Physics of the H.A.S.

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Dr. István Bányász
Wigner Research Centre for Physics
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