What are all the formulas for circular motion

What are all the formulas for circular motion


Linear velocity degree v = s / T = 2 π R / T
Angular velocity ω = Φ / T = 2 π / T = 2 π f
Centripetal acceleration a = V2 / r = ω 2R = (2 π / T) 2R
Centripetal force fcenter = MV2 / r = m ω 2R = m (2 π / T) 2R
Period and frequency t = 1 / F
The relationship between angular velocity and linear velocity v = ω R
Relationship between angular velocity and rotational speed ω = 2 π n



Formulas related to circular motion
Related formula


Uniform circular motion
1. Linear velocity v = s / T = 2 π R / T 2. Angular velocity ω = Φ / T = 2 π / T = 2 π f
3. Centripetal acceleration a = V2 / r = ω 2R = (2 π / T) 2R 4. Centripetal force fcenter = MV2 / r = m ω 2R = m (2 π / T) 2R
5. Period and frequency t = 1 / F 6. Relationship between angular velocity and linear velocity v = ω R
7. Relationship between angular velocity and rotational speed ω = 2 π n (here the meaning of frequency and rotational speed is the same)
8. Main physical quantities and units: arc length (s): meter (m) angle (Φ): radian (RAD) frequency (f): Hertz (Hz)
Period (T): second (s) speed (n): R / s radius (R): meter (m) linear velocity (V): M / S
Angular velocity (ω): rad / s centripetal acceleration: M / s2
Note: (1) the centripetal force can be provided by a specific force, or by a resultant force, or by a component force, and its direction is always perpendicular to the direction of velocity. (2) the centripetal force of an object moving in a uniform speed circle is equal to the resultant force, and the centripetal force only changes the direction of velocity, but does not change the size of velocity, so the kinetic energy of the object remains unchanged, but the momentum changes constantly



All formulas of physical circular motion
Linear velocity V, angular velocity ω, period T, frequency f, radius r of circle, arc length s, time t, and the angle of turning by the radius connecting the particle and the center of circle. What are the relations between these physical quantities?


Uniform circular motion
1. Linear velocity v = s / T = 2 π R / T 2. Angular velocity ω = Φ / T = 2 π / T = 2 π f
3. Centripetal acceleration a = V2 / r = ω 2R = (2 π / T) 2R 4. Centripetal force fcenter = MV2 / r = m ω 2R = m (2 π / T) 2R
5. Period and frequency t = 1 / F 6. Relationship between angular velocity and linear velocity v = ω R
7. Relationship between angular velocity and rotational speed ω = 2 π n (here the meaning of frequency and rotational speed is the same)
8. Main physical quantities and units: arc length (s): meter (m) angle (Φ): radian (RAD) frequency (f): Hertz (Hz)
Period (T): second (s) speed (n): R / s radius (R): meter (m) linear velocity (V): M / S
Angular velocity (ω): rad / s centripetal acceleration: M / s2
Note: (1) the centripetal force can be provided by a specific force, or by a resultant force, or by a component force, and its direction is always perpendicular to the direction of velocity. (2) the centripetal force of an object moving in a uniform speed circle is equal to the resultant force, and the centripetal force only changes the direction of velocity, but does not change the size of velocity, so the kinetic energy of the object remains unchanged, but the momentum changes constantly