Change in velocity, average acceleration

AI Thread Summary
Earth's orbit around the Sun is nearly circular, with a period of 365.25 days, leading to an angular displacement of 4.64×10^-2 radians over 2.70 days. The discussion focuses on calculating the change in Earth's velocity and average acceleration, both of which are perpendicular to the average velocity. Users express confusion about the relationship between tangential velocity and centripetal acceleration in uniform circular motion. Clarification is sought on how to derive these values using the known tangential velocity. Understanding these concepts is crucial for solving the remaining problems in the homework.
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Homework Statement


Earth's orbit around the SUn is nearly circular. THe period is 1 year = 365.25 days. In an elapsed time of 2.70 days, what is Earth's angular displacement? what is the change in Earth's velocity (perpendicular to the average velocity) What is the Earth's average acceleration during 2.7 days? (perpendicular to the average velocity)


Homework Equations


a =v/t
v = s/t


The Attempt at a Solution


I have already completed the first question and got 4.64×10-2 rad and it was right.

but the next two I'm having major problems with. and i am so confused. anyone help!
 
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You know how fast the Earth's tangential velocity is (or you can get it using the angular displacement and time).

How does the tangential velocity relate to the centripetal acceleration for uniform circular motion?
 
I'm really not sure.. can you elaborate?
 

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