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Journal of Interdisciplinary Science Topics How many lies could Pinocchio tell before it became lethal? Steffan Llewellyn The Centre for Interdisciplinary science, University of Leicester 25/03/2014 Abstract: This paper investigates how many lies Pinocchio could continuously tell before it would become fatal, treating the head and neck forces as a basic lever system with the exponential growth of the nose. This paper concludes that Pinocchio could only sustain 13 lies in a row before the maximum upward force his neck could exert cannot sustain his head and nose. The head’s overall centre of mass shifts over 85 metres after 13 lies, and the overall length of the nose is 208 metres. Pinocchio’s Nose Pinocchio is the fable of a wooden puppet, carved by Geppetto, who dreams of becoming a real boy [1]. Pinocchio was portrayed as a character prone to lying, which is manifested physically through the ability to grow his nose when he tells a lie. One issue of growing his nose would be the shift of Pinocchio’s centre of mass within his head, causing strain on his neck, which helps stabilise his head’s position with upwards force. If this continued, then his neck could not support his head, potentially decapitating the puppet. Outlined here is the minimum lie count Pinocchio could continuously expel. Where Pinocchio manages to form new is not addressed in this paper. Maximum Force Pinocchio’s Neck Can Exert The assumption is simplified by allowing the force exerted upwards through the neck to be positioned at the back of the head. The head is treated as a sphere, and the nose as a cylinder, as shown in The type of wood Pinocchio is carved from is disputed, but for this paper, it is concluded that Pinocchio is made from Oak, with a density of . Pinocchio’s neck will brake if its compression strength threshold is overcome by the weight of his head. The compression strength of oak is 1150Psi [2], and the circumference of the average human neck is 0.4m [3]. The maximum force Pinocchio’s neck can sustain is: ( ) ( ) Centre of Mass, and Force Exerted Figure 1. Figure 1: Illustrates the lever system of Pinocchio’s head and neck, with opposite forcesNeck muscles are required to balance the weight exerted by the skull.Usually, the weight of the nose can be considered negligible. In Pinocchio’s case, as the nose increases, it will have a significant impact on the centre of mass and weight of his head. The mass of the head is unchanged: ( )
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