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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```
That's right, there is a unit after the unit: rad, because rad actually represents a ratio. Remember the definition of radian? Radian α = arc length L / radius R. and the units of L and R are m, so radian is actually a ratio. This unit is not written in the formula, but in order to emphasize the angle after the number is obtained, rad. V = 2 is written
RELATED INFORMATIONS
- 1. 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?
- 2. What is the relationship between linear velocity, angular velocity and period
- 3. What is angular velocity and what is linear velocity
- 4. 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=?
- 5. 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~
- 6. 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
- 7. How to convert RPM unit to R / S
- 8. Why are the angular velocities of the two objects different? Are not the angular velocities of the coaxial objects the same?
- 9. What rules are used to define angular velocity and linear velocity?
- 10. 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?
- 11. What is the relationship between physical angular velocity and linear velocity?
- 12. Does uniform circular motion have constant angular velocity? What do you think?
- 13. Why does uniform circular motion have constant angular velocity Shouldn't the linear velocity be constant? Is the definition of uniform circular motion equal to the linear velocity
- 14. Is angular velocity a vector? If so, what is the direction? Does angular velocity keep the same direction in uniform circular motion?
- 15. Is angular velocity and centripetal acceleration in uniform circular motion in the same direction
- 16. Is the angular velocity of uniform circular motion equal? Is the magnitude and direction equal?
- 17. Why does the direction of angular velocity keep unchanged in uniform circular motion? Where is the direction? How to determine?
- 18. How to understand the direction of angular velocity of an object in uniform circular motion? Angular velocity is a vector, it has size and direction. Size is calculated by formula, but how to understand direction? The textbook says: the angular velocity of an object in uniform circular motion is constant
- 19. The formula of angular velocity cannot be fully understood! In the formula of angular velocity (i.e. w = 2P / T), isn't 2p a fixed value (i.e. 360 °)? Why can it be calculated by the angle equal to the actual rotation angle (e.g. 90 °)? If it is known that the angular velocity of a circular motion of an object is 50m / s, it only rotates 90 °, can it be directly removed by 2p, and the actual rotation time t (T) can be obtained by the angular velocity of 50M / S?
- 20. How does the earth's linear velocity and angular velocity change? We only know that the velocity decreases with the increase of latitude,