$ \quad$ A solid circular shaft, made of ductile material with yield stress $\sigma_{Y}=280 \mathrm{MPa}$, is subjected to a torque of $10 \mathrm{kNm}$. Using the Tresca failure theory, the smallest radius of the shaft to avoid failure is _________$\mathrm{cm}$ (round off to two decimal places).
$ \quad$ A solid circular shaft, made of ductile material with yield stress $\sigma_{Y}=280 \mathrm{MPa}$, is subjected to a torque of $10 \mathrm{kNm}$. Using the Tresca failure theory, the smallest radius of the shaft to avoid failure is _________$\mathrm{cm}$ (round off to two decimal places).
The ratio of tangential velocities of a planet at the perihelion and the aphelion from the sun is $1.0339 .$ Assuming that the planet's orbit around the sun is planar and elliptic, the value of eccentricity of the orbit is____________ (round off to three decimal places).
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