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Math Help - [SOLVED] Radian Measure and Angular Velocity

  1. #1
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    [SOLVED] Radian Measure and Angular Velocity

    Assalamu Alaikum Wa Rahmatullah Wa Barakatuh I am lost!

    An object has a circular orbit with a 0.05 radians per sec. angular velocity

    - how long for 1 orbit?
    - whats the speed if it orbits at 550 kmph above earth with a 6000 km radius
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  2. #2
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    Quote Originally Posted by -DQ- View Post
    Assalamu Alaikum Wa Rahmatullah Wa Barakatuh I am lost!

    An object has a circular orbit with a 0.05 radians per sec. angular velocity

    - how long for 1 orbit?
    - whats the speed if it orbits at 550 kmph above earth with a 6000 km radius

    It travels 0.05 radians a second, and there are  2 \pi radians in an orbit. So the time for one orbit is  \frac{2\pi}{0.05} seconds.

    If it's speed is 550kmph and its distance to travel is 6000km, then it takes  \frac{6000}{550} hours to cover that speed. Which is  \frac{6000}{500 \times 60 \times 60} seconds!

    So we now know how long it takes to complete and orbit, and we know an orbit is still 2pi radians!

    So it's angular velocity is  \frac{2 \pi}{\frac{6000}{500 \times 60 \times 60}} radians per second!
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  3. #3
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    Jazakallah Kkair!

    Thanks so much for the quick help!
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