The centripetal acceleration of Earth around the Sun is calculated using the formula \( a_c = \frac{v^2}{r} \), where \( v \) is the orbital velocity and \( r \) is the radius of the orbit. Given that Earth has a mass of \( 6 \times 10^{24} \) kg and orbits at a distance of \( 1.5 \times 10^{11} \) m in \( 3.15 \times 10^{7} \) seconds, the centripetal acceleration can be determined. The orbital velocity can be calculated as \( v = \frac{2\pi r}{T} \), leading to a definitive calculation of Earth's centripetal acceleration.
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hrice said:Homework Statement
The Earth has a mass of 6 x 10 24kg and orbits the sun in 3.15 x 10 7 seconds at a constant circular distance of 1.5 x 10 11 m. What is the Earth's centripetal acceleration around the Sun?
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