What is linear velocity,

What is linear velocity,

Linear velocity = arc length per unit time = △ L / △ t
Angular velocity = turning angle per unit time = △ ω / △ t
In calculation, the linear velocity is the actual velocity
The angular velocity is only related to the rotation angle and time of the particle
Exception: according to the definition: linear velocity = angular velocity × radius

The relationship between angular velocity and rotational speed in physics?
When the rotating speed is 120r / min, the,

ω=2πn=2π*2rad/s=4πrad/s

Relationship between angular velocity and rotational speed

The angular velocity is usually expressed in rad / s, and the common unit of rotational speed is R / min. changing rotational speed into angular velocity: molecule × 2 π, denominator × 60 is equivalent to rotational speed n × π / 30. On the contrary, changing angular velocity into rotational speed is equivalent to angular velocity ω × 30 / π, or ω / π / 30

If the flywheel speed of single cylinder internal combustion engine is 3000r / min, then the piston moves back and forth every second______ The number of times the gas pushes the piston to do work is______ Times

The speed of the flywheel is 3000r / min = 50R / s, which means that the flywheel rotates 50 cycles per second, it needs to go through 100 strokes, the piston goes back and forth 50 times, and the external work is done 25 times

The speed of automobile engine increases from 1200R / min to 3000r / min in 12s,

a=△w/t=2π△v/t=2π（3000-1200）/12=300πrad/s^2.

It is known that the radius of the circle is r, the angular velocity is w, and the rotation speed of the center of the circle

Linear velocity v = the square of W * r
N = 2 W

Does the speed of the wire frame refer to angular velocity or linear velocity

The speed of the wire frame generally refers to the number of revolutions per minute (R / s), and can also be expressed by angular velocity (radians / s)
The relationship between the two: angular velocity W = 2 π n (n -- rotational speed)

What is the RPM unit
Hurry!

RPM (revolutions per minute)
For example, 60 rpm is 60 turns per minute

How to convert the unit between rpm and G?

There is no fixed conversion relationship between rpm and G, but it is related to the rotor of the centrifuge. RCF on the centrifuge refers to g. however, RPM is also used as a unit in the literature I have seen, so there should be no problem

The odd function f (x) defined on R satisfies f (1 + x) = f (1-x), and its period is proved to be 4

The odd function f (x) defined on R satisfies f (1 + x) = f (1-x)
So f (2 + x) = f [1 + (1 + x)] = f [1 - (1 + x)] = f (- x) = - f (x)
So f (x + 4) = - f (x + 2) = f (x)
So 4 is the period of F (x)
If you don't understand, I wish you a happy study!