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(a) What is the period of rotation of Earth in seconds? (b) What is the angular

velocity of Earth? (c) Given that Earth has a radius of 6.4x10^66 m at its equator,
what is the linear velocity at Earth's surface?

User Warrickh
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Final answer:

The period of rotation of Earth is 24 hours, the angular velocity of Earth is 7.29x10^-5 radians per second, and the linear velocity at Earth's surface is 464.16 m/s.


Step-by-step explanation:

(a) The period of rotation of Earth in seconds is approximately 86,400 seconds, which is equivalent to 24 hours. This means that it takes the Earth about 24 hours to complete one full rotation on its axis.

(b) The angular velocity of Earth refers to the rate at which it rotates. It can be calculated by dividing the angle traveled by the time taken. In this case, the angular velocity is approximately 7.29x10-5 radians per second.

(c) To find the linear velocity at Earth's surface, we can use the formula v = rω, where v is the linear velocity, r is the radius of Earth, and ω is the angular velocity. Plugging in the values, we get:

v = (6.4x106 m)(7.29x10-5 rad/s) = 464.16 m/s

Therefore, the linear velocity at Earth's surface is approximately 464.16 m/s.


Learn more about Earth's rotation

User Skrylar
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