QuestionStatus Complete Partial
Complete
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- Part (a)
What is the period of rotation of the Earth in seconds?
Correct!
Part (b)
What is the angular velocity of the Earth in rad/s?
Studdy Solution
STEP 1
1. The Earth completes one full rotation (360 degrees) in one day.
2. The period of rotation of the Earth is given as seconds.
3. Angular velocity is defined as the angle of rotation per unit time.
STEP 2
1. Understand the relationship between period and angular velocity.
2. Calculate the angular velocity using the given period.
STEP 3
The angular velocity is related to the period by the formula:
This formula comes from the fact that one full rotation corresponds to an angle of radians.
STEP 4
Substitute the given period seconds into the formula to find the angular velocity:
STEP 5
Calculate the value of :
The angular velocity of the Earth is approximately:
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