First of all, frequency and angle have different physical dimensions.
'Frequency' has a reciprocal time in it ... "per second" ... and angle doesn't.
The relationship you really want is the one between frequency and angular frequency ...
"revolutions per second" and "radians per second".
1 revolution = 2 pi radians
1 revolution per second = 2 pi radians per second
1 revolution per year = 2 pi radians per year
Angular frequency in radians per second = (2 pi) times (plain old frequency in Hz)
In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity angular velocity.[1]One revolution is equal to 2π radians, hence[1][2]whereω is the angular frequency or angular speed (measured in radians per second), T is the period (measured in seconds), f is the ordinary frequency (measured in hertz) (sometimes symbolised with ν),
The time, T , it takes for an object to go thru one comblete rotation of 360 degrees or 2pi radians is its "period." The rate at which it completes the rotation is its "angular velocity." The rate is the angle (in radians) divided by the time. So , Angular Velocity = 2 pi / T.
If the angular frequency is really what you want to know, then you don't need the amplitudeor speed. All you need is the frequency, and the angular frequency is just that times [ 2 pi ].w ('omega', or angular frequency) = 10.2 x 2 pi = 64.0885 radians per second (rounded)Sometimes this is hard to understand or explain. But it's clear if we use degrees instead of radians ...If your 10.2 Hz means that you have a wheel turning 10.2 times a second, then how many degreesdoes it turn in a second ?Well, there are 360 degrees in one whole turn, so 10.2 turns is (360 x 10.2) = 3,672 degrees per second.That's all there is to it. That's the 'angular' velocity. But it's normally done in radians instead of degrees,and there are [ 2 pi ] radians in one whole turn.
Usually radians per second. Any unit is appropriate, if it consists of (a unit of angle) divided by (a unit of time)
Wavelength is the distance a wave travels during a single, complete cycle. It can be measured by the distance between two crests of the same wave, and is reported in meters. Frequency pertains to how many of these cycles a wave completes in one second. The unit of frequency is the Hertz (Hz), or cycles per second.The wavelegnth and frequency of any wave are inversely related to each other. That is, if the wavelegnth gets bigger, the frequency gets smaller, and vice versa.For electromagnetic radiation, including light, wavelength and frequency are related to each other by the speed of light: c=wavelength*frequency where c=3.00 x 10^8 m/s2 (approximately).It should be noted that this is the speed of light in vacuum, so if your wave is propagating through a medium such as water or a particular solid, this must be taken into account.Questions you will usually encounter in intro physics classes will involve waves traveling through air or vacuum, in which the approximate velocity given above holds for both. Also, if you are given an angular frequency (commonly denoted by a lowercase omega) in radians, you must convert it to Hz as follows: frequency=omega/(2*pi) in order for the above relationship to hold.
Angles are measured in degrees or in radians, but not in centimeters.Angles are measured in degrees or in radians, but not in centimeters.Angles are measured in degrees or in radians, but not in centimeters.Angles are measured in degrees or in radians, but not in centimeters.
The angles measured in radians are about 57.3 degrees. A measurement of an angle in radians is equal to the length of its corresponding arc in the circle.
In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity angular velocity.[1]One revolution is equal to 2π radians, hence[1][2]whereω is the angular frequency or angular speed (measured in radians per second), T is the period (measured in seconds), f is the ordinary frequency (measured in hertz) (sometimes symbolised with ν),
Pi radians is equivalent to 180 degrees.
The time, T , it takes for an object to go thru one comblete rotation of 360 degrees or 2pi radians is its "period." The rate at which it completes the rotation is its "angular velocity." The rate is the angle (in radians) divided by the time. So , Angular Velocity = 2 pi / T.
Degrees or Radians
Angles are usually measured in degrees. They can also be measured in radians.
The same way as with degrees. All you have to know is how to convert degrees from radians and radians from degrees.... this is how you do it... radians= pi/180 degrees= 180/pi to get angles from degrees to radians you multiply the angle that is measured in degrees by pi/180. to get angles from radians to degrees you multiply the angle that is measured in radians by 180/pi. pi=3.14
Angles are measured either in degrees or in radians.
It means a central angle measured in radians. ex. Convert 360 degrees radians. 180 degrees = pi radians so 360 degrees = pi radians/180 degrees = 360pi radians/180 = 2 pi radians
It depends on the radius of the centrifuge. a=R x (angular frequency)^2 The units of angular frequency are radians/second, you want rpm If the rpm is 1 rpm the the angular frequency is 2pi *60 radians/sec
Angles can be measured in degrees, radians and revolutions.