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Thread: A ship has a centrally mounted turbine engine w/ axis of rotation aligned along...

  1. #1

    A ship has a centrally mounted turbine engine w/ axis of rotation aligned along...

    A ship has a centrally mounted turbine engine, with its axis of rotation aligned along the length of the ship from stern to bow (rear to front).

    When viewed from the stern the turbine rotates clockwise with a rotational velocity of 4500 RPM. The rotating elements of the engine have a mass of 1000kg and an effective radius of gyration of 0.9m.

    The ship makes a turn to port (left when viewed from the stern), following a circular path of diameter 500m with a velocity of 1.25 m/s.

    Determine the magnitude and direction of the gyroscopic couple produced, explaining, with the aid of a diagram, how this would affect the motion of the ship (not to worried about the diagram il be able to do this bit)

  2. #2
    Elite Member
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    Quote Originally Posted by bobalong135 View Post
    A ship has a centrally mounted turbine engine, with its axis of rotation aligned along the length of the ship from stern to bow (rear to front).

    When viewed from the stern the turbine rotates clockwise with a rotational velocity of 4500 RPM. The rotating elements of the engine have a mass of 1000kg and an effective radius of gyration of 0.9m.

    The ship makes a turn to port (left when viewed from the stern), following a circular path of diameter 500m with a velocity of 1.25 m/s.

    Determine the magnitude and direction of the gyroscopic couple produced, explaining, with the aid of a diagram, how this would affect the motion of the ship (not to worried about the diagram il be able to do this bit)
    What are your thoughts?

    Please share your work with us ...even if you know it is wrong.

    If you are stuck at the beginning tell us and we'll start with the definitions.

    You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

    http://www.freemathhelp.com/forum/announcement.php?f=33
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  3. #3
    Quote Originally Posted by Subhotosh Khan View Post
    What are your thoughts?

    Please share your work with us ...even if you know it is wrong.

    If you are stuck at the beginning tell us and we'll start with the definitions.

    You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

    http://www.freemathhelp.com/forum/announcement.php?f=33

    Just read the terms and conditions

    Ive been able to work out the figures such as the rpm, the radius of gyration, and the velocity but its what to do with this info now i have got it

  4. #4
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,867
    Quote Originally Posted by bobalong135 View Post
    A ship has a centrally mounted turbine engine, with its axis of rotation aligned along the length of the ship from stern to bow (rear to front).

    When viewed from the stern the turbine rotates clockwise with a rotational velocity of 4500 RPM. The rotating elements of the engine have a mass of 1000kg and an effective radius of gyration of 0.9m.

    The ship makes a turn to port (left when viewed from the stern), following a circular path of diameter 500m with a velocity of 1.25 m/s.

    Determine the magnitude and direction of the gyroscopic couple produced, explaining, with the aid of a diagram, how this would affect the motion of the ship (not to worried about the diagram il be able to do this bit)
    What is gyroscopic couple?

    What is the mathematical formula that will describe it?

    This a dynamics problem with rotating axes of reference.

    What are you being taught regarding that topic?
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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