What are the characteristics of the linear velocity, periodic speed and centripetal acceleration of a particle in uniform circular motion? What is the relationship between them? What is the relationship between them and the orbit radius

F = ma = m · V ^ 2 / r = m · w ^ 2 · r = m · (2 μ / T) ^ 2 · r = m · (2 μ n) ^ 2 · r = m · (2 μ f) ^ 2 · r = m · V · w

I know that the linear velocity, angular velocity, orbit radius, period and centripetal acceleration are all constant. Is there any variable

The direction of linear velocity and centripetal acceleration is changing all the time. They are vectors. When you say constant, you mean constant modulus. This is only one aspect of vectors. Vectors include size and direction

Which variables (periodic acceleration) of orbit radius and GM can be determined in celestial motion?

In an ideal state, the motion of a celestial body is regarded as a circular motion, so it moves in a circular motion with a fixed centripetal force. The centripetal force F = Mr ω ^ 2 = MV ^ 2 / R. here, the centripetal force F = GM. so if the orbit radius r, the celestial body weight m, and G are known, then the linear velocity and angular velocity can be known, and the angular velocity can be known

When a 6-pole three-phase asynchronous motor is connected to a 50 Hz power supply and the speed is 960 R / min, the speed of the motor rotor is stable
A 6-pole three-phase asynchronous motor is connected to a 50 Hz power supply, and the speed is 960r / min. at this time, the current frequency of the motor rotor is a 50 Hz, B 20 Hz, C 2 Hz, D 4 Hz

60×50÷（6÷2）=1000
（1000-960）÷1000=4%
50×0.04=2
A: frequency equals 2

What are the characteristics of the linear velocity, periodic speed and centripetal acceleration of a particle in uniform circular motion? What is the relationship between them? What is the relationship between them and the orbit radius