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Moment of Inertia is defined as the product of mass and square of distance from its axis of rotation and it is denoted by I.
I=mR2
Moment of Inertia depends upon mass from the axis of rotation of wheel rim e.g because the mass of big bicycle lie away from the axis of rotation of wheel rim.So M.O.I of big bicycle is Small than small Bicycle.
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How would a spinning disk and kinetic energy change if its moment of inertia were five times larger but its angular speed were five times smaller?
If the moment of inertia is five times larger while the angular speed is five times smaller, then the kinetic energy of the spinning disk would decrease. This is because kinetic energy is directly proportional to both the moment of inertia and the square of the angular speed. The decrease in angular speed would have a greater impact on reducing the kinetic energy compared to the increase in moment of inertia.
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 do you change the speed without changing the angular momentum?
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
If a net torque is applied to an object that object will experience which of the following a constant angular speed angular acceleration or an increasing moment of inertia?
If a net torque is applied to an object, it will experience angular acceleration. This is because torque causes rotation and leads to a change in angular velocity. The object's angular speed will increase or decrease depending on the direction of the net torque applied.
Does the blade of a fan that is turned on have angular momentum?
Yes, the blade of a fan that is turned on does have angular momentum because it is rotating around an axis. The angular momentum depends on the rotational speed of the blade and its moment of inertia.
How would a spinning disk and kinetic energy change if its moment of inertia were five times larger but its angular speed were five times smaller?
If the moment of inertia is five times larger while the angular speed is five times smaller, then the kinetic energy of the spinning disk would decrease. This is because kinetic energy is directly proportional to both the moment of inertia and the square of the angular speed. The decrease in angular speed would have a greater impact on reducing the kinetic energy compared to the increase in moment of inertia.
Why moment of inertia is also called rotational inertia?
Because it is a measure of the "resistence" of an object to be accelerated in its rotation. An object with a big moment of inertia is more difficult to increase/decrease its angular velocity (speed of rotation), than an object with a low moment of inertia.
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 do you change the speed without changing the angular momentum?
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
If a net torque is applied to an object that object will experience which of the following a constant angular speed angular acceleration or an increasing moment of inertia?
If a net torque is applied to an object, it will experience angular acceleration. This is because torque causes rotation and leads to a change in angular velocity. The object's angular speed will increase or decrease depending on the direction of the net torque applied.
Does the blade of a fan that is turned on have angular momentum?
Yes, the blade of a fan that is turned on does have angular momentum because it is rotating around an axis. The angular momentum depends on the rotational speed of the blade and its moment of inertia.
What is the effect of mass on torque Wind turbine blades are lengthy to increase torque and to decrease speed. How can i decrease speed using mass Or can I increase torque by increasing MASS?
Mass has no effect on torque. Torque is the product of distance (from the axis), force, and an angular function. Mass can, however, make the turbine more stable - it will take longer to react to variations in wind. More mass will increase the MOMENT OF INERTIA (rotational inertia).
Why does a skater spin faster when she pulls her arms in toward her body?
When a skater pulls her arms in towards her body, she reduces her moment of inertia, which is the resistance to changes in rotation. This causes her to spin faster due to the conservation of angular momentum, which states that angular momentum must remain constant unless acted upon by an external torque. By bringing her arms closer to her body, she decreases her moment of inertia, causing her angular velocity (spin speed) to increase to maintain constant angular momentum.
An ice skater has a mass of 65 kg She skates in a large circle What would you need to know to calculate her angular momentum?
To calculate her angular momentum, you would need to know her moment of inertia (which depends on both her mass and how this mass is distributed relative to the axis of rotation), her velocity (speed at which she travels in a circular path), and the radius of the circle she is skating. You would use the formula for angular momentum, which is given by the equation: L = I * ω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
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.
What is rotational inertia?
Rotational inertia is sometimes called spin. It involves the movement of a mass around an axis. This moving mass will have some measure of kinetic energy that is due to the fact that it is spinning. The variables are the shape and the mass of the object, the way the mass is distributed within the object, the speed of its rotation, and the location of the axis of spin through the object. The moment of inertia might also be called angular mass, mass moment of inertia, rotational inertia, or polar moment of inertia of mass. Use the link below for more information.
Is angular momentum conserved when a spinning ice skater pulls in their arms?
Yes, angular momentum is conserved when a spinning ice skater pulls in their arms. This is because the skater's rotational speed increases as they bring their arms closer to their body, balancing out the decrease in their moment of inertia.
