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Cr4zyM4tt
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For example, the term angular frequency, it units is radian per second. For phase, it is also measured in radians or degrees, why is that? Why is the math the same when you use angles to describe oscillations?
Radians are just real numbers. They are not a completely different unit of measurement like degrees.That's why radians were created: to express angles by real numbers. You can say that the units for frequency are rad/s as well as you can say they are 1/s or s-1. Also, it helps a lot to understand things related to oscillations if you study about solving differential equations.Cr4zyM4tt said:For example, the term angular frequency, it units is radian per second. For phase, it is also measured in radians or degrees, why is that? Why is the math the same when you use angles to describe oscillations?
Angles are used to describe oscillations because they can represent the phase or position of an oscillating object at any given point in time. This is especially useful for circular or rotational oscillations, where the angle can indicate the position of the object along its path.
Yes, the angle in oscillations changes with time as the object moves back and forth or in a circular path. This change in angle is what allows us to measure the frequency and period of the oscillation.
No, angles cannot be used to measure the amplitude of oscillations. Amplitude is a measure of the maximum displacement of an oscillating object from its equilibrium position, and is typically measured in meters or other units of length.
In wave oscillations, angles are used to describe the phase or position of a point on the wave. The wavelength, on the other hand, is a measure of the distance between two consecutive points on the wave with the same phase. Therefore, angles and wavelength are not directly related, but they can both be used to describe different aspects of wave oscillations.
Yes, it is possible to convert between angles and radians in oscillations. Radians are a unit of measurement for angles, and they can be converted to degrees by multiplying by 180/π. In oscillations, radians are often used to measure the phase or position of an oscillating object, while degrees are more commonly used to measure angles in everyday situations.