Question

Need help with 10 & 11.

10. The Earth completes one orbit around the Sun in 365.242 daya. Ansume a circular orbit of radiua 1.50 x 108 km. Caloulate the linear (not angular) apeed of the Earth in ita orbit. a. b. Caloulate the angular apeed of the Earth in ita orbit. Anawer in radiana per seoond. o. Caloulate the magnitude of the Earth'a centripetal acceleration a it revolvea around the Sun 11. Seienoe fotion ia filled with examplea of large apaceoraft or space atationa that ascia to generate artificial grauity. Many believe NASA ahould incorporate thia into a manned Mara miaaion due to the harmful effeota of zero gravity on the human body Conaider a apaceoraft in the ahape of a apoked wheel with the aurface oft metera from the axia of rotation. Caloulate the neceaaary rate of rotation (in to create an artifioial acoeleration equal to the real acoeleration due to gravity found on the aurface of Mara.

Answer 1

Linear speed = Distance/Time V = 2 I R/T = 2 I times 1.5 times 10^11 m/365.25 times 24 times 3600 = 29865.32 m/s V = 29865.32 m/s V = 29.86 km/s Angular speed = Radial distance/Time w = 2 I/T 2 I/(365.25 times 24 times 3600) = 1.99 times 10^-7 rad/s w = 1.99 times 10^-7 rad/s a_r = w^2 R = (1.99 times 10^-7)^2 times 1.5 times 10^11 = 0.00594 m/s^2 a_r = 5.94 times 10^-3 m/s^2