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Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r
But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity)
mr2 is nothing but the moment of inertia of the moving body about the axis of rotation.
Hence L = I w.
What else can I help you with?
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
How angular momentum is equals to kgms?
Angular momentum is calculated as the product of a rotating object's moment of inertia (I) and its angular velocity (ω). The units of angular momentum are kg m^2/s, which is the same as the units for moment of inertia multiplied by angular velocity (kg m^2 * 1/s). This relationship is based on the principles of rotational motion and conservation of angular momentum.
The product of an object's rotational inertia and its rotational velocity is?
The product of an object's rotational inertia and its rotational velocity is called angular momentum. It is a conserved quantity in a closed system, meaning it remains constant unless acted upon by an external torque.
What is the difference between angular velocity and angular momentum?
Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.
What is the difference between linear momentum and angular momentum?
Linear momentum is the product of an object's mass and velocity in a straight line, measuring how difficult it is to stop the object's motion. Angular momentum, on the other hand, is the product of an object's moment of inertia and angular velocity, measuring how difficult it is to stop the object's rotational motion around an axis.
What Is equal to moment of inertia multiplied by angular velocity?
The product of moment of inertia and angular velocity is equal to angular momentum. Angular momentum is a vector quantity that represents the rotational motion of an object and is denoted by the symbol ( L ). Mathematically, it can be expressed as ( L = I \omega ), where ( I ) is the moment of inertia and ( \omega ) is the angular velocity. This relationship is fundamental in understanding rotational dynamics and the conservation of angular momentum.
What is ment by angular momentum and angular velocity?
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
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
How angular momentum is equals to kgms?
Angular momentum is calculated as the product of a rotating object's moment of inertia (I) and its angular velocity (ω). The units of angular momentum are kg m^2/s, which is the same as the units for moment of inertia multiplied by angular velocity (kg m^2 * 1/s). This relationship is based on the principles of rotational motion and conservation of angular momentum.
The product of an object's rotational inertia and its rotational velocity is?
The product of an object's rotational inertia and its rotational velocity is called angular momentum. It is a conserved quantity in a closed system, meaning it remains constant unless acted upon by an external torque.
What is the difference between angular velocity and angular momentum?
Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.
What quantities are needed to calculate angular momentum?
"Rate of change" means that you divide something by time ("per unit time" or "per second"), so you would use the units of angular momentum, divided by seconds.I am not aware of any special name for this concept.
What is the difference between linear momentum and angular momentum?
Linear momentum is the product of an object's mass and velocity in a straight line, measuring how difficult it is to stop the object's motion. Angular momentum, on the other hand, is the product of an object's moment of inertia and angular velocity, measuring how difficult it is to stop the object's rotational motion around an axis.
What is anguler momentum?
Angular momentum is a property of a rotating object that describes its tendency to keep rotating. It is calculated as the product of an object's moment of inertia and its angular velocity. Similar to linear momentum, angular momentum is conserved in the absence of external torques.
When a spinning skater pulls in her arms to turn fasterher angular momentum?
When a spinning skater pulls in her arms to turn faster, her angular momentum is conserved. Angular momentum is the product of an object's moment of inertia and its angular velocity. By pulling her arms in, the skater decreases her moment of inertia, causing her angular velocity to increase in order to maintain a constant angular momentum. This is similar to the principle of conservation of angular momentum seen in other rotating systems.
What is an angular momentum?
Angular momentum is a measure of an object's rotational motion, calculated as the product of its moment of inertia and angular velocity. It is a vector quantity, meaning it has both magnitude and direction, and is conserved in the absence of external torques. Angular momentum plays a crucial role in understanding the behavior of rotating objects, such as planets orbiting the sun or a spinning top.
In orbital motion the Angular Momentum of the system is?
In orbital motion, the angular momentum of the system is constant if there is no external torque acting on the system. This is a result of the conservation of angular momentum, where the product of the rotating body's moment of inertia and angular velocity remains constant unless acted upon by an external torque.
