Here is an extract from the diary of Samuel Pepys for 4 June 1666, written in London. ‘We find the Duke at St James’s, whither he is lately gone to lodge. So walking through the Parke we saw hundreds of people listening to hear the guns.’ These guns were at the battle of the English fleet against the Dutch off the Kent coast, a distance of between 110 and 120 km away. The speed of sound in air is 344 m sTM. How long did it take the sound of the gunfire to reach London?

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In this historical excerpt from Samuel Pepys’ diary on June 4, 1666, we glimpse London during a significant event – the battle between the English and Dutch fleets off the Kent coast. As Pepys observes the scene at St James’s, he notes the crowd listening intently to the distant sounds of gunfire. The curiosity arises: How long did it take for the sound waves, traveling through the air at a speed of 344 meters per second, to reach London from the naval battle, situated approximately 110 to 120 kilometers away? This inquiry delves into the intersection of historical documentation and the physics of sound propagation.

3 October 2023 by alevelmechanics1.com

Douglas Quadling Mechanics 1 
Exercise 1A Q5

The numerical scenario presented involves an excerpt from Samuel Pepys’ diary dated June 4, 1666, providing a historical context within London during a significant event—the battle between the English and Dutch fleets off the Kent coast. Pepys, noting the Duke’s presence at St James’s, describes observing crowds in the Parke, listening keenly for the sounds of distant gunfire from the naval battle, located between 110 and 120 kilometers away. The given speed of sound in air is 344 meters per second. The numerical task at hand is to calculate the time it took for the sound waves generated by the naval gunfire to travel from the battle site to London, adding a scientific dimension to this historical account.

“Explore a historical moment through the eyes of Samuel Pepys in this numerical inquiry from June 4, 1666. As Pepys recounts the scene in London’s St James’s Park during the English fleet’s battle against the Dutch off the Kent coast, curiosity arises. With the speed of sound in air set at 344 meters per second, the task is to calculate the time it took for the distant echoes of naval gunfire, situated 110 to 120 kilometers away, to reach London. This unique blend of historical narrative and scientific calculation provides a captivating glimpse into the convergence of past events and the physics of sound propagation.”

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