A 0 .1 k g mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its cross-sectional area is $4.9\times {10}^{-7}{\mathrm{m}}^2$. If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency $140{\mathrm{rads}}^{-1}$. If the Young’s modulus of the material of the wire is $\mathrm{n}\times {10}^9{\mathrm{Nm}}^{-2}$, the value of n is.