What Are the Equations for Calculating Centripetal Acceleration?

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Centripetal acceleration can be calculated using the equation ac = v^2/r, where v is the tangential velocity and r is the radius of the circular path. For an object in orbit, the velocity can be expressed as v = 2πr/T, with T representing the orbital period. Substituting this into the centripetal acceleration formula gives ac = 4π^2r/T^2. The radius of Earth's orbit around the sun is approximately 1.5 x 10^11 m, and its mass is about 5.98 x 10^24 kg. Accurate equations are essential for proper calculations in centripetal motion.
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The radius of the Earth's orbit about the sun is about 1.5x10^11m. The mass of the Earth is 5.98x^10^24kg



Equations:
ac= v^2/r
ac=4∏^2/r
v=2∏r/T


I could not figure out what to do so i could not attempt it
 
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Centripetal acceleration is ##a_c=\frac{v^2}{R}##.
Since ##v=\frac{2\pi R}{T}##, where ##T## is the period, so
##a_c=\frac{4\pi^2 R}{T^2}##.
 
Your equations, except the first one, are incorrect. Find the correct equations first.
 
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