An inflatable structure used by a traveling circus has the shape of a half-circular cylinder with closed ends (see figure). The fabric and plastic structure is inflated by a small blower and has a radius of 12 m when fully inflated. A longitudinal seam runs the entire length of the “ridge” of the structure.
If the longitudinal seam along the ridge tears open when it is subjected to a tensile load of 100 N/mm of seam, what is the factor of safety n against tearing when the internal pressure is 3.5 kPa and the structure is fully inflated?
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