Question:

If a satellite completes revolution in orbit two times a day, then angular velocity is

Show Hint

Angular velocity:
- For 1 revolution: 360° (or 2\(\pi\) radians).
- For n revolutions: n × 360° per unit time.
- Unit: degrees/day or radians/day.
  • 180°/day
  • 360°/day
  • 720°/day
  • 90°/day
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Question:
This question tests the calculation of angular velocity of a satellite.

Step 2: Key Formula or Approach:

Angular velocity (\(\omega\)) is the angle covered per unit time.
For one revolution, the angle covered is 360°.

Step 3: Detailed Explanation:

The satellite completes 2 revolutions per day.
Angle covered in 1 revolution = 360°.
Angle covered in 2 revolutions = \(2 \times 360° = 720°\).
Angular velocity = 720°/day.
Other options:
- 180°/day (A): Too low.
- 360°/day (B): For 1 revolution/day.
- 90°/day (D): Too low.
Thus, angular velocity is 720°/day.
Final Answer:
Thus, the angular velocity is 720°/day, which corresponds to option (C).
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