An aircraft executes a horizontal loop with a speed of $150\, m/s$ with its wings banked at an angle of $12^o$. The radius of the loop is ..........  $km$ $(g = 10\, m/s^2 \; and\; \tan 12^o = 0.2125)$

Three point particles $P, Q, R$ move in circle of radius $‘r’$ with different but constant speeds. They start moving at $t = 0$ from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of $P, Q$ and $R$ are $5\pi , 2\pi$ & $3\pi$ respectively, in the same sense. The time interval after which they are at same angular position.

A car moving on a horizontal road may be thrown out of the road in taking a turn

The acceleration vector of a particle in uniform circular motion averaged over the cycle is a null vector. This statement is

The net applied force on a body in uniform circular motion should always be

A stone ties to the end of a string $1\,m$ long is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolution in $44$ seconds, what is the magnitude and direction of acceleration of the stone