A car is going round a circle of radius $R_1$ with constant speed. Another car is going round a circle of radius $R_2$ with constant speed. If both of them take same time to complete the circles, the ratio of their angular speeds and linear speeds will be .........
$\sqrt{\frac{R_1}{R_2}}, \frac{R_1}{R_2}$
$1, 1$
$1, \frac{R_1}{R_2}$
$\frac{R_1}{R_2}, 1$
An object moves at a constant speed along a circular path in horizontal $XY$ plane with centre at origin. When the object is at $x = -2\,m$ , its velocity is $-(4\,m/ s)\hat j$ . What is object's acceleration when it is at $y = 2\,m$ ?
A particle moving with uniform speed in a circular path maintains:
If the length of the second's hand in a stop clock is $3 \,cm$ the angular velocity and linear velocity of the tip is
In $1.0\, s$ a particle goes from point $A$ to point $B$, moving in a semicircle of radius $1.0\, m$ (see figure). The magnitude of the average velocity is ......... $m/s$
A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force $F$. if the angular velocity is kept same but the radius of the path is halved, the new force will be