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Which is not part of the equation for angular momentum?
Rotational speed. Rotational speed is typically used to calculate rotational kinetic energy rather than angular momentum, which is determined by rotational inertia and angular velocity.
When the rotational speed of a rotating system doubles its angular momentum?
When the rotational speed of a rotating system doubles, its angular momentum also doubles. This is because angular momentum is directly proportional to both the mass and the rotational speed of the system. Therefore, if the rotational speed doubles, the angular momentum will also double.
How is torque related to angular momentum and what is the significance of this relationship?
Torque is the force that causes an object to rotate around an axis. Angular momentum is the measure of an object's rotational motion. The relationship between torque and angular momentum is that torque applied to an object will change its angular momentum. This relationship is significant because it explains how forces can affect the rotation of objects, such as in the case of spinning wheels or rotating machinery.
What factors does the angular momentum depend upon?
Angular momentum depends on the mass of an object and its rotational speed. The greater the mass or speed, the greater the angular momentum.
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.
Which is not part of the equation for angular momentum?
Rotational speed. Rotational speed is typically used to calculate rotational kinetic energy rather than angular momentum, which is determined by rotational inertia and angular velocity.
When the rotational speed of a rotating system doubles its angular momentum?
When the rotational speed of a rotating system doubles, its angular momentum also doubles. This is because angular momentum is directly proportional to both the mass and the rotational speed of the system. Therefore, if the rotational speed doubles, the angular momentum will also double.
How is torque related to angular momentum and what is the significance of this relationship?
Torque is the force that causes an object to rotate around an axis. Angular momentum is the measure of an object's rotational motion. The relationship between torque and angular momentum is that torque applied to an object will change its angular momentum. This relationship is significant because it explains how forces can affect the rotation of objects, such as in the case of spinning wheels or rotating machinery.
What factors does the angular momentum depend upon?
Angular momentum depends on the mass of an object and its rotational speed. The greater the mass or speed, the greater the angular momentum.
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 angular momentum and the cross product in physics?
In physics, angular momentum is related to the cross product through the formula L r x p, where L is the angular momentum, r is the position vector, and p is the linear momentum. The cross product is used to calculate the direction of the angular momentum vector in rotational motion.
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.
Who invented angular momentum?
The concept of angular momentum was developed by Sir Isaac Newton in the 17th century. He observed that objects in motion can possess a type of rotational momentum, which is now known as angular momentum.
What is the relation between torque and angular momentum?
Torque is the rate of change of angular momentum. When a torque is applied to an object, it causes a change in the object's angular momentum. Conversely, an object with angular momentum will require a torque to change its rotational motion.
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.
If the torque of the rotational motion be zero then the constant quantity will be?
angular momentum
How mass affects both angular and linear momentum?
Increasing mass affects both angular and linear momentum differently. For linear momentum, doubling the mass doubles the momentum if velocity remains constant. For angular momentum, increasing mass without changing the distribution around the axis of rotation affects angular momentum due to rotational inertia. In simple terms, the rotational speed would likely decrease to conserve angular momentum.
