Circular Motion

A particle moves in a circle of radius cm with constant speed and time period s. The acceleration of the particle is:

1.	m/s2	2.	m/s2
3.	m/s2	4.	m/s2

The position vector of a particle as a function of time is given by:

where is in metres, is in seconds and denotes unit vectors along and directions, respectively. Which one of the following statements is wrong for the motion of the particle?

1.	Acceleration is along .
2.	Magnitude of the acceleration vector is , where is the velocity of the particle.
3.	Magnitude of the velocity of the particle is m/s.
4.	Path of the particle is a circle of radius m.

In the given figure, m/s² represents the total acceleration of a particle moving in the clockwise direction in a circle of radius m at a given instant of time. The speed of the particle is:

1. m/s
2. m/s
3. m/s
4. m/s

Two particles and are moving in a uniform circular motion in concentric circles of radii and with speeds and respectively. Their time periods of rotation are the same. The ratio of the angular speed of to that of will be:

1.		2.
3.		4.

A particle moving with uniform speed in a circular path maintains:

1.	constant acceleration
2.	constant velocity but varying acceleration
3.	varying velocity and varying acceleration
4.	constant velocity