2022年1月31日 · But I want to know from where this formula ($\omega =\frac{2\pi}{T}$) came (or how to derive it)? And what's the intuition behind angular frequency? And what's the intuition behind angular frequency? Note: I don't want an explanation/answer based on/related to …

2018年6月12日 · $\begingroup$ You are considering circular motion about a fixed axis. Because the direction of the axis is fixed in space, the concepts "angular velocity is a vector fixed in space, perpendicular to the circular motion" and "angular velocity is the rate of change of your angle $\theta$" amount to the same thing.

2020年3月28日 · I'm trying to derive the equations of motion for the physical pendulum, and I'm confused to why $\omega = \sqrt{\frac{mgl_{cm}}{I_s}} $ ?

2016年11月27日 · Which one is the formula of angular velocity? Is it $\omega= vr$? If not then why does the source below ...

It is necessary to mention whether $\omega_0$ is in radian/sec (and not just 1/sec) because angles can be expressed in various units - degrees, radians, etc (all which are dimensionless) and unless we know in which unit $\omega_0$ is expressed, we cannot do mathematical operations on it, like finding its sine or cosine, etc.

2020年12月3日 · As pointed out by others, a radian is not a unit. Radians is just a proportional (dimensionless) measure of the arc length around a circle relative to the circumference of ANY circle, of ANY size.

2024年10月10日 · $\begingroup$ I am actually in 12th grade high school so I am not quite familiar with the rules of tensor quantities but I am familiar with vector algebra and 3d geometry basics do u think you could dumb down the explanation haha what I understood from your explanation was that if the axis is x the L could exist for y and z too and hence the angular momentum L isn’t …

2014年10月10日 · You use the first formula in introductory physics classes on specially constructed problems that avoid the issues connected with the second formula, and also in practical settings that by design and operation make the $\vec \omega \times \mathrm I \vec \omega$ term very small.

2023年5月22日 · $\omega$ is the "angular frequency." If you plot the particle's velocity and position as a function of time, the particle moves around a circle (see the comments for a discussion of the controversy on whether this is a circle or an ellipse)

2020年5月3日 · What is the difference between $\omega$ and $\Omega$ in the equation $\Omega = \theta_o\omega\cos(\omega t +\delta)$? 0 Equations for air drag acting on a body with both translational and rotational motion