Gyroscope Angular Speed Calculation

AI Thread Summary
The discussion revolves around calculating the angular speed of a toy gyroscope's rotor, given its mass, moment of inertia, and precession rate. The initial calculation provided by the user yielded an incorrect angular speed of 38 rad/s. Another participant suggests that the correct angular speed should be around 221 rad/s or 2111 rev/min, indicating that the user's formula contained multiple mistakes. They recommend systematically writing down the basic equations and data in a clear format to avoid errors. The typical spinning speed for toy gyroscopes can reach up to 3000-4000 rev/min, supporting the suggested correction.
MozAngeles
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Homework Statement




The rotor (flywheel) of a toy gyroscope has mass 0.150 kg. Its moment of inertia about its axis is 1.20*10^- 4 kg m^2. The mass of the frame is 2.70×10−2 kg. The gyroscope is supported on a single pivot with its center of mass a horizontal distance of 4.00 cm from the pivot. The gyroscope is precessing in a horizontal plane at the rate of one revolution in 2.40 s.
Find the angular speed with which the rotor is spinning about its axis, expressed in rev/min.

Homework Equations


\omega=(weight force*radius)/(moment of interia*\Omega)



The Attempt at a Solution


\omega= (1.73*.04)/(1.20*10^-4 *4.8)= 38 rad/s
the result is wrong. i have no idea what i am doing wrong.
any help would be nice thanks =)
 
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Sure, there are 3/4 mistakes in your formula.
You need to methodically write down the basic equations of the gyro, and all your data, in a neat Latex code.

You should get 221 rad/s, or 2111revs/min, if I'm not wrong.
A typical toy gyro can spin up to 3/4000 revs/min, so it makes sense (I have one toy gyro).
 

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