1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth from the sun is 1.5.10¹1 m. (a) Calculate the angular velocity of the Earth's rotation. = 7.272x10-5 Wrot (b) Calculate the moment of inertia assuming that Earth is a sphere. sphere kg m² = (c) Calculate the rotational kinetic energy of Earth on its axis. KE rot Wrev = rad/s 2.6x102⁹ (d) Calculate the angular velocity of the of Earth in its orbit around the Sun. rad/s (e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth is a point mass compared to the sun. orbit kg m² = (f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun. KE rev

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1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth from
the sun is 1.5.10¹1 m.
(a) Calculate the angular velocity of the Earth's rotation.
= 7.272x10-5
Wrot
(b) Calculate the moment of inertia assuming that Earth is a sphere.
sphere
kg m²
=
KE rot
(c) Calculate the rotational kinetic energy of Earth on its axis.
=
rad/s
2.6x102⁹
(d) Calculate the angular velocity of the of Earth in its orbit around the Sun.
rad/s
W rev
(e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth is
a point mass compared to the sun.
orbit
kg m²
=
(f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun.
KE rev
Transcribed Image Text:1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth from the sun is 1.5.10¹1 m. (a) Calculate the angular velocity of the Earth's rotation. = 7.272x10-5 Wrot (b) Calculate the moment of inertia assuming that Earth is a sphere. sphere kg m² = KE rot (c) Calculate the rotational kinetic energy of Earth on its axis. = rad/s 2.6x102⁹ (d) Calculate the angular velocity of the of Earth in its orbit around the Sun. rad/s W rev (e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth is a point mass compared to the sun. orbit kg m² = (f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun. KE rev
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