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What is moment of inertia of partially filled tube with liquid and set horizontal rotating about a vertical axis passing through its center?
The moment of inertia of a partially filled tube with liquid rotating horizontally about a vertical axis through its center is affected by the distribution of mass within the tube. The moment of inertia depends on the shape of the tube, the mass of the liquid, the radius of the tube, and the distance of the liquid's center of mass from the rotation axis. The parallel axis theorem can be used to calculate the moment of inertia of the tube and liquid system.
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Why do large fan blades take LONGER time to stop rotating than shorter blades?
Large fan blades have more mass and therefore more inertia, which allows them to keep rotating for a longer time before friction and air resistance slow them down. On the other hand, shorter blades have less mass and less inertia, causing them to stop rotating more quickly.
Why is it necessary to mention the axis of rectangular bar while calculating the moment of inertia?
An object rotating about its long axis will have a different moment of inertia than when it is rotating about its short axis. A solid disk will have a different moment than a washer, and there are formulas derived for calculating the moments of many common shapes.
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.
Can one object have more than one rotational inertia?
YES. Infact, an object can have infinitely different moment of inertias. It all depends on the axis about which it it rotating. You can allow an object to rotate about any axis (this may or may not pass through the object).
How does inertia affect black holes?
Inertia causes black holes to keep spinning even after matter falls into them, contributing to their strong gravitational pull. This property is known as frame-dragging, where the rotating black hole drags spacetime around it, influencing the movement of nearby objects and the flow of matter.
How do you compare and contrast the Aristotelian and Gallilean conceptions of vertical motion horizontal motion and projectile motion?
Aristotle's conceptions of motion involved natural states and elements, with vertical motion seen as objects seeking their natural place. Horizontal motion was believed to require a force to sustain it, contrasting with natural rectilinear motion. Projectiles were thought to rely on a medium for propulsion, such as air. In contrast, Galileo introduced the concept of inertia and applied mathematical analysis to motion, treating horizontal and vertical components independently. He also formulated the principle of inertia, which states that an object in motion stays in motion unless acted upon by a force.
Must an object be rotating to have a nonzero moment of inertia?
Well, friend, an object doesn't have to be rotating to have a nonzero moment of inertia. Moment of inertia is a measure of an object's resistance to changes in its rotation. Even if an object is at rest, it can still have a moment of inertia based on its shape and mass distribution. Just like how every cloud has a silver lining, every object has a moment of inertia waiting to be discovered!
Must an object be rotating have non-zero moment of inertia?
No, an object can have a zero moment of inertia and still be rotating if the net external torque acting on it is zero. Rotation can occur even with a zero moment of inertia as long as there are no external torques causing it to change its rotational motion.
What increase the moment of inertia?
A rotating body that spins about an external or internal axis (either fixed or unfixed) increase the moment of inertia.
What physical characteristic does the moment of inertia of a rotating object most directly and accurately measure?
The moment of inertia of a rotating object most directly and accurately measures its rotational inertia, which is the resistance of an object to changes in its rotational motion. It depends on the mass distribution and shape of the object.
What moment of inertia does not depend on angular velocity?
The moment of inertia of an object does not depend on its angular velocity. Moment of inertia is a measure of an object's resistance to changes in its rotational motion, based on its mass distribution around the axis of rotation. Angular velocity, on the other hand, describes how fast an object is rotating and is not a factor in determining the moment of inertia.
What is inertia in a 3 Phase motor?
A motor when running has inertia in the rotating parts, which is a reserve of kinetic energy. The kinetic energy is found as the moment of inertia times the square of the angular velocity.
What is the significance of the hoop moment of inertia in the dynamics of rotating objects?
The hoop moment of inertia is significant in the dynamics of rotating objects because it determines how easily an object can rotate around a central axis. Objects with a larger hoop moment of inertia require more force to change their rotation speed, while objects with a smaller hoop moment of inertia can rotate more easily. This property is important in understanding the behavior of rotating objects in physics and engineering.
What explains why the cart always catches the ball and the ball doesn't fall behind the moving cart?
The cart and the ball are both subject to the same gravitational acceleration, so they fall at the same rate. The cart's horizontal motion keeps pace with the vertical motion of the ball, allowing it to catch up. This is the principle of inertia and the relationship between vertical and horizontal motion.
How do you calculate angular momentum in a rotating system?
Angular momentum in a rotating system is calculated by multiplying the moment of inertia of the object by its angular velocity. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
What is the moment of inertia about the instantaneous center in a rotating rigid body?
The moment of inertia about the instantaneous center in a rotating rigid body is a measure of how difficult it is to change the body's rotational motion around that point. It depends on the mass distribution and shape of the body.
How can one determine the angular momentum of a rotating object and what is the process for finding angular momentum?
To determine the angular momentum of a rotating object, you multiply the object's moment of inertia by its angular velocity. The moment of inertia is a measure of how mass is distributed around the axis of rotation, and the angular velocity is the rate at which the object is rotating. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
