The tangential velocity of a particle making p rotations along a circle of radius `pi` in t seconds is

Tangential acceleration of a particle moving on a circle of radius 1 m varies with time t as shown in the graph (initial velocity of particle is zer). Time after which total acceleration of particle makes an angle of 30^@ with radial acceleration is,

A particle is revolving in a circle of radius 1 m with an angular speed of 12 rad/s. At t = 0, it was subjected to a constant angular acceleration alpha and its angular speed increased to (480/pi) rotation per minute (rpm) in 2 sec. Particle then continues to move with attained speed. Calculate (i) angular acceleration of the particle, (ii) tangential velocity of the particle as a function of time. (iii) acceleration of the particle at t = 0.5 second and at t = 3 second (iv) angular displacement at t = 3 second.

A particle is revolving in a circle of radius 1 m with an angular speed of 12 rad/s. At t = 0, it was subjected to a constant angular acceleration alpha and its angular speed increased to (480pi) rotation per minute (rpm) in 2 sec. Particle then continues to move with attained speed. Calculate (i) angular acceleration of the particle, (ii) tangential velocity of the particle as a function of time. (iii) acceleration of the particle at t = 0.5 second and at t = 3 second (iv) angular displacement at t = 3 second.

The speed of a particle moving in a circle of radius r=2m varies with time t as v=t^(2) , where t is in second and v in m//s . Find the radial, tangential and net acceleration at t=2s .

A particle starts moving from rest at t=0 with a tangential acceleration of constant magnitude of pi m//s^(2) along a circle of radius 6 m. The value of average acceleration, average velocity and average speed during the first 2 sqrt(3) s of motion, are respectively :

A particle starts moving from rest at t=0 with a tangential acceleration of constant magnitude of pi m//s^(2) along a circle of radius 6 m. The value of average acceleration, average velocity and average speed during the first 2 sqrt(3) s of motion, are respectively :

Figure shows the velocity time graph of a particle moving along straight line (v is m/s and t is in second). It average velocity in 20 seconds will be: .

Figure shows the velocity time graph of a particle moving along straight line (v is m/s and t is in second). It average velocity in 20 seconds will be: .