CENTRIPETAL ACCELERATION

STATEMENT-1: When a particle moves in a circle with a uniform speed, it velocity and acceleration both changes. STATEMENT-2: The centripetal acceleration in circular motion is depdendent on angular velocity of the body.

A car goes around uniform circular track of radius R at a uniform speed v once in every T seconds. The magnitude of the centripetal acceleration is a_(c) . If the car now goes uniformly around a larger circular track of radius 2R and experiences a centripetal acceleration of magnitude 8a_(c) , then its time period is

Assertion:- A particle is moving in a circle with constant tangential acceleration such that its speed v is increasing. Angle made by resultant acceleration of the particle with tangential acceleration increases with time. Reason:- Tangential acceleration =|(dvecv)/(dt)| and centripetal acceleration =(v^(2))/(R)

A particle of mass m is moving on a circular path of radius r . Centripetal acceleration of the particle or radius r . Centripetal acceleration of the particle depends on time t according to relation a_(c ) = kt^(2) . What power is delievered to the particle ?

A particle is moving with a constant angular acceleration of 4rad//s^(2) in a circular path. At time t=0 , particle was at rest. Find the time at which the magnitudes of centripetal acceleration and tangential acceleration are equal.

To simulate the acceleration of large rockets, the astronauts are spun at the end of long rotating beam of radius 9.8 m . What will be angular velocity required for generating centripetal acceleration 8 times the acceleration due to gravity?

A ball is moving in a circular path of radius 5m. If tangential acceleration at any instant is 10 m//s^(2) and the net acceleration makes an angle 30^(@) with the centripetal acceleration, then the instantaneous speed is

A point on the periphery of a rotating disc has its acceleration vector making angle of 30^(@) with the velocity . The ratio (a_(c)//a_(t) (a_(c) "is centripetal acceleration and a_(1) is tangential acceleration ") equals

A mass attached to one end of a string crosses top - most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be (where, g=gravitational acceleration)