(a) Carbon nanotubes are one of the stiffest and strongest materials known to scientists and engineers. Carbon nanotubes have an elastic modulus of 1.1 TPa (1 TPa = 1012 Pa). If a carbon nanotube has a diameter of 15 nm, determine the engineering stress sustained by the nanotube when subjected to a tensile load of 4 μN (1 μN = 10-6 N) along the length of the tube. Assume that the entire cross-sectional area of the nanotube is load bearing.
(b) Assume that the carbon nanotube is only deformed elastically (not plastically) under the load of 4 μN. The carbon nanotube has a length of 10 μm (1μm = 10-6 m). What is the tensile elongation (displacement) of the carbon nanotube in nanometers (1 nm = 10-9 m)?
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