The average acceleration vector for a particle having a uniform circular motion is
A constant vector of magnitude $\frac{{{v^2}}}{r}$
A vector of magnitude $\frac{{{v^2}}}{r}$ directed normal to the plane of the given uniform circular motion
Equal to the instantaneous acceleration vector at the start of the motion
A null vector
A car is travelling with linear velocity $v$ on a circular road of radius $r$. If it is increasing its speed at the rate of $'a'$ $meter/{\sec ^2}$, then the resultant acceleration will be
“Write equation of centripetal acceleration for uniform circular motion. Obtain this equations in terms of angular velocity $(\omega )$ and frequency $(v)$ .”
Two racing cars of masses ${m_1}$ and ${m_2}$ are moving in circles of radii ${r_1}$ and ${r_2}$ respectively. Their speeds are such that each makes a complete circle in the same duration of time $t$. The ratio of the angular speed of the first to the second car is
A particle describes a horizontal circle of radius $r$ on the smooth surface of an inverted cone as shown. The height of plane of circle above vertex is $h$. The speed of particle should be
A grinding wheel attained a velocity of $20\,rad/sec$ in $5\,sec$ starting from rest. Find the number of revolution made by the wheel