- #1

olgerm

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## Main Question or Discussion Point

I was thinking about an experiment to demonstrate gravitomagnetic effect. I did my calculations using gravitomagnetic model. It is not as accurate as general relativity, but GR should give similar predictions. I do not know if it would be possible to to this experiment in real life(are there enougth accurate sensors and tought materials).

installations consists of three spinning cylinders. first to cylinders are for creating a magnetic field. last one is for detecting gravitomagnetic field. last cylinder under axis 90 degrees angle compared to first two cylinders.

gravitimagnetic field created by first two cylinders right between the cylinders: ##B_G=\frac{\mu_G*\omega_1*\rho_1*(r_2^2-r_1^2)}{2}##

##\tau=\frac{2\pi*\rho_3*(R_2^4-R_1^4)*\omega_3*B_G}{2}=\frac{\mu_G*\omega_3*\rho_3*(r_2^2-r_1^2)*2\pi*\rho_1*(R_2^4-R_1^4)*\omega_1}{4}##

Wat you think what is the highest value for ##\tau## we could practically get?

installations consists of three spinning cylinders. first to cylinders are for creating a magnetic field. last one is for detecting gravitomagnetic field. last cylinder under axis 90 degrees angle compared to first two cylinders.

gravitimagnetic field created by first two cylinders right between the cylinders: ##B_G=\frac{\mu_G*\omega_1*\rho_1*(r_2^2-r_1^2)}{2}##

- ##\omega_1## is angular speed of 1. and 2. cylinder.
- ##\mu_G##is gravitomagnetic constant ##\mu_G=\frac{2*2\pi*G}{c^2} \approx 9.33*10^{-27}*N/kg^2*s^2=9.33*10^{-27}*s/kg##
- ##\rho_1## is density of 1. and 2. cylinder.
- ##r_2## is 1. and 2. cylinders outer radius.
- ##r_1## is 1. and 2. cylinders inner radius.

##\tau=\frac{2\pi*\rho_3*(R_2^4-R_1^4)*\omega_3*B_G}{2}=\frac{\mu_G*\omega_3*\rho_3*(r_2^2-r_1^2)*2\pi*\rho_1*(R_2^4-R_1^4)*\omega_1}{4}##

- ##R_1## is 3. cylinders inner radius.
- ##R_2## is 3. cylinders outer radius.
- ##\rho_3## is density of 3. cylinder.
- ##\omega_3## is angular speed of 3. cylinder.

Wat you think what is the highest value for ##\tau## we could practically get?

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