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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.
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.
Does a 1 kilogram ball or a 10 kilogram ball have more momentum?
Inertia is directly proportional to mass. Unless you mean rotational inertia, in which case it depends on the shape, but for two objects of the same shape (and mass distribution), the more massive always has higher inertia.
What property that a moving object has due to its mass and velocity?
The property that a moving object has due to its mass and velocity is momentum. Momentum is calculated as the product of mass and velocity, and it represents how difficult it is to stop a moving object.
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.
Why is momentum caused?
momentum is caused by inertia. all objects have inertia, which means if they are moving at a certain velocity or are at rest they will continue to move at that velocity or remain at rest unless acted on by a force. Objects of more mass have greater inertia, so the amount of momentum is equal to the product of an objects mass and the magnitude of its velocity.
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.
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.
Does a 1 kilogram ball or a 10 kilogram ball have more momentum?
Inertia is directly proportional to mass. Unless you mean rotational inertia, in which case it depends on the shape, but for two objects of the same shape (and mass distribution), the more massive always has higher inertia.
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.
What property that a moving object has due to its mass and velocity?
The property that a moving object has due to its mass and velocity is momentum. Momentum is calculated as the product of mass and velocity, and it represents how difficult it is to stop a moving object.
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.
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.
Why you calculate momentum?
momentum is caused by inertia. all objects have inertia, which means if they are moving at a certain velocity or are at rest they will continue to move at that velocity or remain at rest unless acted on by a force. Objects of more mass have greater inertia, so the amount of momentum is equal to the product of an objects mass and the magnitude of its velocity.
Product of an objects mass and velocity?
That's the object's "momentum".
The product of an objects mass and velocity is?
That's the object's momentum.
How is angular momentum expressed in polar coordinates?
Angular momentum in polar coordinates is expressed as the product of the moment of inertia and the angular velocity, multiplied by the radial distance from the axis of rotation. This formula helps describe the rotational motion of an object in a two-dimensional plane.
