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The Gyroscope Forum |
23 November 2024 21:55
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Welcome to the gyroscope forum. If you have a question about gyroscopes in general,
want to know how they work, or what they can be used for then you can leave your question here for others to answer.
You may also be able to help others by answering some of the questions on the site.
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Question |
| Asked by: |
KARTIKE KARWAL |
| Subject: |
moment of inertia |
| Question: |
i want to know how can we find the moment of inertia of a gyroscope and the angular velocity of precession.
secondly pls tell me a simple method to determine the moment of inertia also,and if i want to run gyroscope through an electric motor pls tell wat would be the suitable rpm of the motor to have at least minimum amount of precession.pls send answers soon. thanx bye |
| Date: |
11 June 2004
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Answers (Ordered by Date)
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| Answer: |
Venkat Gopalakrishnan - 27/07/2004 20:15:24
| | | Gyroscope torque T = I * a1 * a2
I = Mass moment of inertia about the primary spinning axis
a1 = angular velocity of the disk abouts its primary axis
a2 = angular velocity of precession
So if you place min weights of W , then applied torque = W * L
L= distance between the weight and the centre of the disk thickness.
So now we have W * L = I * a1 * a2
so Motor speed required for a precession of a2 radians/sec is
a1 = W * L/(I * a2) radians/sec
Divide this by 2 * pi to get in Rotations per sec
(pi = 22/7)
Moment of Inertia
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I can be determined analytically if the disk is a cylinder. In that case,
I = M * R * R/2
But if the disk is complex, then we can determine it experimentally.
But be advised that that it is possible to determine "I" for complex disk by taking the "I" for all the pieces.
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