Angular
when something moves with constant angular speed (w), as in a rotating disk, the speed (v) as you move away from the center depends on distance (r), but the angular speed does not. Mathematically, v = wr.
angular acceleration
That depends what you will remain constant: the angular velocity, or the speed. Here are two formulae that can help you decide: acceleration = speed squared / radius, and acceleration = angular velocity squared times radius. Angular speed should be measured in radians in this case. Angular speed is equal to 2 x pi x (revolutions per second). From the above formulae, it clearly follows that: (a) If you maintain the speed constant (and thereby reduce angular speed, a larger radius means less centripetal acceleration. (b) If you maintain the angular speed constant (and thereby increase the speed), a larger radius means more centripetal acceleration.
if the fan rotates at constant speed ,then it's angular velocity is constant so net torque must be zero
Angular
The angular momentum is a constant.
when something moves with constant angular speed (w), as in a rotating disk, the speed (v) as you move away from the center depends on distance (r), but the angular speed does not. Mathematically, v = wr.
angular acceleration
That depends what you will remain constant: the angular velocity, or the speed. Here are two formulae that can help you decide: acceleration = speed squared / radius, and acceleration = angular velocity squared times radius. Angular speed should be measured in radians in this case. Angular speed is equal to 2 x pi x (revolutions per second). From the above formulae, it clearly follows that: (a) If you maintain the speed constant (and thereby reduce angular speed, a larger radius means less centripetal acceleration. (b) If you maintain the angular speed constant (and thereby increase the speed), a larger radius means more centripetal acceleration.
Ignoring the fact that some clocks "jump", for example once a second, each of the three arms moves at constant angular velocity. The speed, in this case, is constant; the velocity is not since the direction changes. On the other hand, sometimes people use a vector to describe an angular velocity. Angular momentums add nicely with vector representation.
if the fan rotates at constant speed ,then it's angular velocity is constant so net torque must be zero
what is the relation angular speed and angular speed with clutch disc plate
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
As there is no external torque acting on it, its angular momentum remains constant. This is according to the law of conservation of angular momentum
The hands of a clock move at a constant speed, not slowing or speeding up. Therefore, the acceleration is a constant 0 rad/s2
Kepler's Second Law: The planet moves faster when it is closer to the Sun.