Oct 26, 2022 · 1 Complex numbers offer a compact way to represent circular motions in 2D, think of the real axis as $x$ -coordinate and the imaginary axis as $y$ -coordinate (base vectors $\hat {i}$ and …

Mar 21, 2021 · Uniform circular motion means that the angular speed is constant or equivalently that the tangential speed is constant. The force that keeps the particle on this trajectory is directed toward the …

Nov 13, 2024 · 0 By definition of uniform motion $\omega$ ( positive for angular velocity counter-clockwise ) is a constant, else there will be radial and circumferential components when time …

From what I could figure, you are in the case of circular motion with constant acceleration see Wikipedia Be careful with your notation, because in this case there are 2 velocities, angular and linear. Angular …

Apr 18, 2025 · For questions related to circular motion (movement of an object along the circumference of a circle or rotation along a circular path).

Jun 5, 2023 · An object is moving in a circular path of radius $r$. It has a linear (tangential) velocity $v$. The linear (tangential) deceleration of the object is $d$. In other ...

Nov 5, 2017 · A $2$ $\\text {kg}$ ball on a string is rotated about a circle of radius $10 \\text {m}$. The maximum tension allowed in the string is $50$ $\\text {N}$. What is the maximum speed of the ...

Nov 16, 2024 · Yet, it seems we need the radius to do physics on the curve. So if we knew the function of a non-circular curve, how could we find the radius of the equivalent circle at a point that we could …

Jan 26, 2021 · Why is the direction of angle $\theta$ in circular motion towards and inwards of plane x-y axis? I am not getting this concept at all.As the angel theta is changing ; the arc length (s in diagram )...

Mar 8, 2020 · The moment that the tension of the string is less than the required centripetal force, the particle will start moving towards the "interior" of the circle. Thus, not following a circular motion any …