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A wave with frequency 10.2Hz and amplitude 42.2 mm moves in the positive x direction with a speed of 4.3 ms What is the waves angular frequency?
Wiki User
∙ 14y ago
If the angular frequency is really what you want to know, then you don't need the amplitude
or 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 degrees
does 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.
Wiki User
∙ 14y ago
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What is an angular frequency?
An angular frequency is a scalar measure of rate of rotation.
Which angular direction is conventionally regarded as positive?
clockwise
How do you find out the direction of angular accelaration?
The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant
Define angular speed?
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),
What happens to the intensity of a wave if the amplitude decreases?
Intensity of a wave is proportional to the frequency squared and amplitude squared based on this formula; I=1/2pw^2A^2V where p is the density of the medium, w is the angular frequency and A is the amplitude and V is the wave velocity. So, everything else remaining constant, decreasing the amplitude will decrease a waves intensity. Example decreasing the the amplitude by a factor of 4 will decrease the wave intensity by a factor of 8.
What is an angular frequency?
An angular frequency is a scalar measure of rate of rotation.
When angular velocity decreases the direction of angular acceleration is opposite to angular velocity .why?
Take the velocity to be in positive direction. Positive acceleration increases velocity and they are in the same direction. Negative acceleration reduce velocity and they are in opposite direction. It does not matter if the motion in linear or anfular.
Which angular direction is conventionally regarded as positive?
clockwise
What is a difference between frequency and angular frequency?
Frequency is a metric for expressing the rate of oscillation in a wave. For planar and longitudinal waves, this often expressed in oscillations-per-second or Hz. Angular frequency used for expressing rates of rotation, similar to revolutions-per-second, and is usually expressed in radians-per-second. It can be thought of as a wave with a constant amplitude where the amplitude rotates in a circle in space. The two differ by factor of 2*Pi. Omega (angular frequency) = 2*Pi*f(frequency in Hz)
How do you find out the direction of angular accelaration?
The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant
What is the Relation between angular velocity and frequency?
If there is a rotation, "angular velocity" and "angular frequency" is the same thing. However, "angular frequency" can also refer to situations where there is no rotation.
Define angular speed?
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),
What happens to the intensity of a wave if the amplitude decreases?
Intensity of a wave is proportional to the frequency squared and amplitude squared based on this formula; I=1/2pw^2A^2V where p is the density of the medium, w is the angular frequency and A is the amplitude and V is the wave velocity. So, everything else remaining constant, decreasing the amplitude will decrease a waves intensity. Example decreasing the the amplitude by a factor of 4 will decrease the wave intensity by a factor of 8.
What is the meaning of angular frequency for a body undergoing simple harmonic motion?
Angular frequency differs from frequency by factor '2Pie'. It has the dimension of reciprocal time(same as angular speed). Its unit is radian/sec. Or you can simply say that angular frequency is the magnitude of angular velocity(a vector quantity).
What is Difference between angular velocity and angular speed?
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
Is angular speed a vector?
Scalar. Angular frequency vector is roughly synonymous with angular velocity.
Does the time period of oscillation depend on the displacement from the equilibrium position?
As long as angular amplitude is kept small, the period does not depend on the angular amplitude of the oscillation. It is simply dependent on the weight. It should be noted that to some extent period actually does depend on the angular amplitude and if it gets too large, the effect will become noticeable.
