the process in which body moves around its axis and covers certain angle then this motion is called angular motion.
In circular motion, centripetal acceleration is directly proportional to angular velocity. This means that as the angular velocity increases, the centripetal acceleration also increases.
In circular motion, velocity is directly proportional to the radius and angular velocity (omega). This means that as the radius or angular velocity increases, the velocity of the object in circular motion also increases.
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
The angle between angular and tangential velocity is 90 degrees. Angular velocity is perpendicular to the direction of tangential velocity in a circular motion.
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
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Rectilinear motion is motion along a straight line, while circular motion involves moving along a circular path. One can be seen as a special case of the other - circular motion can be decomposed into both rectilinear motion along the tangent and angular motion around the center.
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Linear momentum is the momentum of an object moving in a straight line, while angular momentum is the momentum of an object rotating around an axis. The main difference is the direction of motion - linear momentum is in a straight line, while angular momentum is in a circular motion. This difference impacts the motion of objects by determining how they move and interact with their surroundings. Objects with linear momentum will continue moving in a straight line unless acted upon by an external force, while objects with angular momentum will continue rotating unless a torque is applied to change their direction.
The formula for calculating the angular velocity of an object in circular motion is angular velocity () linear velocity (v) / radius of rotation (r).
A circular motion is called uniform when the object travels around a fixed point at a constant angular velocity. This means that the speed and direction of the object remains constant throughout its motion, leading to a uniform circular movement.
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.