Circus Performer and Young's Modulus?
In a circus act, a performer supports the combined weight (1700N) of a number of colleagues. Each thighbone (femur) of this performer has a length of 0.5m and an effective cross sectional area of 8x10-4 m2. Determine the amount by which each thighbone compresses under the extra weight. The elastic modulus for bone is 9.4x109 Nm-2.
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Compressive force on each bone (2) = ½ weight = 850N
From the Young modulus equation .. E = F.Lₒ / A.∆x
Compression, ∆x = FLₒ / AE
∆x = 850N x 0.50m / (8.0^-4m² x 9.40^9N/m²) .. .. ►∆x = 5.65^-5 m