Can you associate vectors with $(a)$ the length of a wire bent into a loop, $(b)$ a plane area, $(c)$ a sphere ? Explain.
No; Yes; No
One cannot associate a vector with the length of a wire bent into a loop.
One can associate an area vector with a plane area. The direction of this vector is normal, inward or outward to the plane area.
One cannot associate a vector with the volume of a sphere. However, an area vector can be associated with the area of a sphere.
A particle is moving with constant speed $\sqrt 2\,m/s$ on a circular path of radius $10\,cm$. Find the magnitude of average velocity when it has covered ${\left( {\frac{3}{4}} \right)^{th}}$ circular path
For a particle in a uniformly accelerated circular motion
A conical pendulum is moving in a circle with angular velocity $\omega $ as shown. If tension in the string is $T$ , which of following equation are correct?
The radius of circle the period of revolution initial position and sense of revolution are indicated in the figure.
$y-$projection of the radius vector of rotating particle $\mathrm{P}$ is
If the body is moving in a circle of radius $ r$ with a constant speed $v$, its angular velocity is