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Question detail

A satellite orbits the Earth with a period of 90 minutes. What is its angular speed in radians per second?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Periodic motion

Exam-style question

Try this first

A satellite orbits the Earth with a period of 90 minutes. What is its angular speed in radians per second?.

  1. A.0.116 rad/s
  2. B.0.069 rad/s
  3. C.0.104 rad/s
  4. D.0.087 rad/s

Model answer

What a good answer should say

  • 0.116 rad/s

Explanation

Why this works

The formula for angular speed is ω = 2π / T. First, convert 90 minutes to seconds: 90 min * 60 s/min = 5400 s.

Then, ω = 2π / 5400 s ≈ 0.116 rad/s. Therefore, the angular speed is 0.116 rad/s.

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