- #1
rashida564
- 220
- 6
i get stuck in how to find the magnitude of rotating vector . why say that |dA/dt|=A(dθ/dt) but who we can derive it or interpret this fact
You forgot the v in front of sin(θ). Now figure out what angle there is between A and dA/dt .rashida564 said:dA/dt=-sin(θ)dθ/dt i +vcos(θ)dθ/dt j
A rotating vector is a vector that changes direction as it moves around a fixed point or axis. It can also change in magnitude, depending on its speed and direction of rotation.
The magnitude of a rotating vector can be calculated by finding the length of the vector at any given point in its rotation. This can be done using trigonometric functions to calculate the horizontal and vertical components of the vector, and then using the Pythagorean theorem to find the length.
The magnitude of a rotating vector refers to its length or size, while the speed refers to how fast it is rotating. A vector can have a constant magnitude but varying speed, or a constant speed but varying magnitude.
Yes, the magnitude of a rotating vector can be negative. This typically occurs when the vector is rotating in the opposite direction of the axis or fixed point, resulting in a negative length.
A rotating vector can be represented using a combination of its magnitude, direction, and speed. It is often written as a complex number or in polar coordinates, with the magnitude as the modulus and the direction as the argument.