What rules are used to define angular velocity and linear velocity?

Hello, classmate. Angular velocity and linear velocity are defined by ratio method

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1. On the concept of linear velocity and angular velocity "Angular velocity: the radian that connects the radius of a moving particle and the center of a circle and turns in unit time is called" angular velocity ". The unit of angular velocity is radians per second, which is read as radians per second. It is a physical quantity that describes the speed and direction of rotation of an object or a particle around another particle. The time change rate of angular displacement of an object is called instantaneous angular velocity (also known as instantaneous angular velocity), For uniform circular motion, the angular velocity ω is a constant, which can be expressed by the ratio of the angular displacement Δ θ of the moving object and the corresponding time Δ t Linear velocity: the velocity of any point of a rigid body in circular motion about a fixed axis is called "linear velocity". It is generally defined as the instantaneous velocity of a particle (or points on an object) in curvilinear motion (including circular motion), In uniform circular motion, the linear velocity is equal to the ratio of the arc length (s) through which the moving particle passes and the time spent (△ T). That is, v = s / △ t, In uniform circular motion, although the magnitude of linear velocity does not change, its direction changes all the time. The relationship between linear velocity and angular velocity is v = ω R. the unit of linear velocity is m / s“ So the above is that the linear velocity and angular velocity refer to the velocity through the radian? Is there a simpler, more accessible definition?
2. The difference between the meaning of angular velocity and linear velocity
3. I want to ask you the angular speed of the motor multiplied by 9.55 is the speed, but multiplied by 60 * pi * 0.86 / (3.036 * 1000) is the speed per hour,
4. Is angular velocity times t equal to radian or angle?
5. Why is linear velocity equal to angular velocity times radius?
6. Isn't angular velocity defined as the angle of rotation per unit time? So ω should be equal to 360 / T. why is ω = 2 π / T? I didn't make it clear when I was in school. Now I need it. It's still foggy
7. Angular velocity of the earth
8. The relationship between angular acceleration and angular velocity?
9. How does the period and angular velocity of the planet change with the distance from the central celestial body?
10. If the radius of a celestial body is k times that of the earth and its density is p times that of the earth, then the gravitational acceleration on the surface of the celestial body is () A. KP2 times B. KP & nbsp; times C. KP times D. p2k times
11. Why are the angular velocities of the two objects different? Are not the angular velocities of the coaxial objects the same?
12. How to convert RPM unit to R / S
13. Conversion of angular velocity W to linear velocity V and rotational speed r / min R / S? There are mainly the conversion of rotational speed r / min and angular velocity ω
14. When the engine speed is n = 3000r / min, what is the angular velocity ω? What is the period T? The answer is 100 π rad / s, 0.02s But the first question: 3000r / min. isn't ω 3000 laps × 360 degrees divided by 60 seconds? How can 18000 be obtained Please write down the correct process and explain where my solution is wrong~
15. Relationship between angular velocity and rotational speed What is the difference between angular velocity and rotational speed? What is the relationship between them? For example, n = 0.5 ω=?
16. What is angular velocity and what is linear velocity
17. What is the relationship between linear velocity, angular velocity and period
18. Relationship between angular velocity and linear velocity The linear velocity is equal to the angular velocity times the radius according to the formula Angular velocity is 2 pies divided by period, linear velocity is 2 pies multiplied by radius divided by period The angular velocity is 360 degrees divided by the period, so the linear velocity is not the angular velocity times the radius For example, when the earth revolves around the sun, the angular velocity is about 1 degree per hour, and the linear velocity is not equal to the angular velocity times the radius. Why?
19. The relationship between angular velocity and linear velocity If v = 2 π R / T... (1), and w = 2 π / T... (2), then we can multiply 1 / R on (1). We can get V / r = 2 π / T, and w = 2 π / T, then both of them represent radian rad, and they can be reduced. Then we have v = w * r In this section of theory, why do both of them represent radian rad? Is it because V / r = w in V / r = 2? But this conclusion has not been deduced yet```
20. What is the relationship between physical angular velocity and linear velocity?