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

The angular velocity of a particle moving in a circle of radius 50 cm is increased in 5 min from 100 revolutions per minute to 400 revolutions per minute. Find the tangential acceleration of the particle.

Figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius 2.5 m at a given instant of time. At this instant, Find: (i) the radial acceleration, (ii) the speed of the particle and (iii) its tangential acceleration.

Figur shows the total acceleration and velocity of a particle moving clockwise in a circle of radius 2.5m at a given instant of time. At this instant, find: (a) the radius acceleration, (b) the speed of the acceleration, (c) its tangential acceleration.

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

The kinetic energy K of a particle moving along a circle of radius R depends upon the distance S as K=betaS^2 , where beta is a constant. Tangential acceleration of the particle is proportional to

What will be sign of the velocity of the point P^(') , which is the projection of the velocity of the reference particle P? P is moving in the circle of radius R in anticlockwise direction.

In figure, what be the sign of the velocity of the point P', which is the projection of the velocity of the reference particle P.P is moving in a circle of radius R in anti-clockwise direction.

The distance of a particle moving on a circle of radius 12 m measured from a fixed point on the circle and measured along the circle is given by s=2t^(3) (in meters). The ratio of its tangential to centripetal acceleration at t = 2s is

A particle at t = 0 second is at point A and moves along the shown path (ABCDF) with uniform speed v = (1 + (pi)/(3)) m//s . Both the straight segments AB and DE are along the diameter BD of semicircle BCD radius R = 1 meter. Find the instant of time at which the instantaneous velocity of the particle is along the direction of average velocity from t = 0 second to that instant.

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.