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

Question

Physics

Steve Livingston

6 September, 03:58

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

+5

Answers (1)

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Hall · Answer 1

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