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Answer to Question #4565 in Astronomy | Astrophysics for Theresa

Question #4565
Assuming that Earth has a circular orbit with a radius of 1.496 x 10^11 m, what is
a) the average speed (in m/s) o fEarth for one full orbit?
b) the average velocity of Earth for one full orbit?
Expert's answer
We are given
data:image/png;base64,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
a) Average speed defined the length of the path traveled until time t by the time.
data:image/png;base64,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
length of the path is length of the orbit. Length of circular orbit relates with its radius as:
data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE8AAAAaCAIAAAB5FZaVAAACNklEQVRYhe2WrYvjQBTA598YXVsXt2rUmDVnalZExKxYPxBxUHciEHtwMFBOnRk4eRSeO1OIOxHGVYSYiGWIKBGPOZGmO2nSbbPltksuPxnm4/3yPhJi/yfIrQN4Vybb8TLZjpfJdrx8AFvMk5/fBKOEEELmfvRLlzhguwFRb22gfrzWpnftzW0LEB5hodLG2iqHJSOUy3SILhoIKVlIvbPWWswg5ISGYHrO+Ai2PFDbfWiYSk4Jl3qALhoI6YteW77NhbZVnnxvio0QFieDiu1yMJWcUgF1IWK+WQlOenDzX4DwDlusrTL1RK/KrQFB76Pk2Vpry03EP/edtdNy0RdZwwUZw0wFh4swXYVfN7nR8mHvhqnkD8dJw1TyOwFFHahexz7lIWS9V11ki1py0gTx78CtCpgv/5StpwWI+1oGteSdpKGWTvbnfvQDTowoe3ElG61CRigTatjAHMBzEn1i0aY8evySz52Wi06BOE2LWxV4PSc4DJhSmP+O/fnppr2mkk0qH3m4zjsLUEu+31iAuOuMa7dpX5tPNedtUa8emztQS/7qcW+iymHJA9W0WgHhF3fAzmqZVn8egksln/FWeN7xGoeztmggpPt8Vjks2Ylx92YwUwF36sWAmDVXuDIGBPUEZJmKV/vXjWUSM1evLd/lvG2pQR4+A0yskm65XUMBwut8X2rbKlNPzm/DVgVzQv14kzuZrDmUWwHCI9SP1rq3e2/+d/GuTLbjZbIdL5PtePkLoF2Sjac1C20AAAAASUVORK5CYII=
One full orbit Earth goes for one year. Hence:
data:image/png;base64,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
Thus
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Velocity is the measurement of the rate and direction of change in the position of an object. It is a vector physical quantity; both magnitude and direction are required to define it.
The scalar absolute value (magnitude) of velocity is speed.
b) The average velocity v of an object moving through a displacement delta x during a time interval (Δt) is described by the formula:
data:image/png;base64,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
After rounding one full orbit Earth is back at its start position, so displacement is zero. Thus:
data:image/png;base64,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
Answer: average velocity of Earth for one full orbit
data:image/png;base64,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