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the process in which body moves around its axis and covers certain angle then this motion is called angular motion.
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Is angular momentum always parallel to angular acceleration?
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
What is the angle between angular and tangential velocity?
The angle between angular and tangential velocity is 90 degrees. Angular velocity is perpendicular to the direction of tangential velocity in a circular motion.
What is the difference between linear and angular kinematics?
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.
What is the Relation between rectilinear and circular motion?
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.
What is the difference between oscillatory motion and circular motion?
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Angular accleleration of particle in uniforn circular motion?
Zero.
Why a circular motion is said to be uniform when the angular velocity is constant?
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.
What are physical examples of vectors which are perpendicular to their derivatives?
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.
What is the relationship between radial force and angular velocity squared?
The relationship between radial force and angular velocity squared is described by the centripetal force equation, which states that the radial force required to keep an object moving in a circular path is equal to the mass of the object times the square of its angular velocity, multiplied by the radius of the circular path. This relationship shows that an increase in angular velocity will result in a corresponding increase in the radial force needed to maintain the object's circular motion.
What are the assumptions used to develop the kinematics model of circular motion?
The main assumptions in developing the kinematics model of circular motion are that the object is moving along a circular path at a constant speed, which implies uniform circular motion. Additionally, it is assumed that there is no tangential acceleration, meaning that the speed of the object remains constant. Finally, the assumption is made that the object's motion can be described using angular quantities such as angular displacement, velocity, and acceleration.
What is the difference between circular motion and oscillatory motion?
Circular motion involves an object moving in a circular path around a fixed point, while oscillatory motion involves an object moving back and forth around a central point. In circular motion, the object continuously moves around the circle, whereas in oscillatory motion, the object moves back and forth around a central position.
What happens to an objects motion when it leaves uniform circular motion?
In UCM, the object's angular speed remains constant, and it maintains a conserved trajectory. When it leaves this motion, the angular speed of the object will either increase or decrease, entering different kinds of motion, and its trajectory will probably vary
