The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual

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Topic: Physics Posted 8 months ago

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 104 s. Given this information, what is the angular speed of the Earth about its axis?

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Koala Tutor

Mar 27, 2024

Koala Ai Support

The angular speed of the Earth about its axis can be calculated using the formula for angular speed, which is the total angle rotated divided by the time taken.

For one complete rotation, the Earth rotates 360 degrees or 2π radians.

So, the angular speed (ω) is given by:

ω = θ/t

where θ is the total angle rotated and t is the time taken.

Substituting the given values:

ω = 2π radians / 8.616 × 10^4 s

ω = 7.292 × 10^-5 rad/s

So, the angular speed of the Earth about its axis is approximately 7.292 × 10^-5 rad/s.

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