(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 (1 μm = 10-6 m). What is the tensile elongation (displacement) of the carbon nanotube in nanometers (1 nm = 10-9 m)?