The radius of the earth's very nearly circular orbit around the sunis 1.5\times10^11 m. Find the magnitude of the earth's velocity as it travels around thesun. Assume a year of 365 days.
Express your answer using two significant figures. wherev=km/s
Find the magnitude of the earth's angular velocity as it travelsaround the sun. Assume a year of 365 days.
Express your answer using two significant figures. wherew=s^-1
Find the magnitude of the earth's centripetal acceleration as ittravels around the sun. Assume a year of 365 days.
Express your answer using two significant figures. wherea=m/s^2
A) Linear distance covered = circumference of orbit Velocity = distance / time Velocity = 2πr / T Velocity = (2π x 1.5 x 10¹¹) / (365 days a year x 24 hours per day x 60 minutes per hour x 60 seconds per minute) Velocity = 29,886 m/s Velocity = 30 km/s
B) ω = 2π/T ω = 2π / (365 x 24 x 60 x 60) ω = 1.99 x 10⁻⁷ rad/s ω = 2.0 x 10⁻⁷ rad/s
C) centripetal acceleration = v²/R a = (30 x 10³)² / (1.5 x 10¹¹) a = 6 x 10⁻³ m/s²
