Table of Contents
What is the moment of inertia for a disc?
mr2/2
Ans: Presuming that the moment of inertia of a disc about an axis which is perpendicular to it and through its center to be known it is mr2/2, where m is defined as the mass of the disc, and r is the radius of the disc.
Why is the moment of inertia smaller for a disk than a ring?
A ring has greater moment of inertia than a circular disc of same mass and radius, about an axis passing through its centre of mass perpendicular to its plane, because. Answer: A ring has a larger moment of inertia because its entire mass is concentrated at the rim at a maximum distance from the axis.
What is a disc in physics?
In geometry, a disk (also spelled disc) is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not.
Does a disk or hoop have a greater moment of inertia?
For example, if we compare the rotational inertia for a hoop and a disc, both with the same mass and radius, the hoop will have a higher rotational inertia because the mass is distributed farther away from the axis of rotation. Figure 1: A disc and a hoop with the same mass and radius.
Why does a solid disk have a greater moment of inertia?
Based on the coefficients (2/5 and 1/2), the moment of inertia of solid disk is greater than the moment of inertia of a solid sphere. This phenomenon is caused by the difference in the distribution of mass around the axis.
Will a hoop or disk travel further?
It is shown that the one that reaches the bottom first depends not on the mass or radius, but on the shape. To illustrate this further, a wooden disk, clad with a metal ring, rolls down faster than the hoop but slower than the wooden disk. and we see that the disk rolls faster and thus reaches the bottom first.
Which has the greater moment of inertia?
Masses that are further away form the axis of rotation have the greatest moment of inertia.
What rolls faster a hoop or a disk?
A collection of disks and hoops, of different radii and different masses, are allowed to roll from rest without slipping down an inclined plane. and we see that the disk rolls faster and thus reaches the bottom first.
What is the moment of inertia for a hoop?
The moment of inertia of a hoop or thin hollow cylinder of negligible thickness about its central axis is a straightforward extension of the moment of inertia of a point mass since all of the mass is at the same distance R from the central axis.
Why a wheel is more advantageous than a disc of same mass and external radius?
The hoop, with greater mass at the rim will have greater energy stored as angular momentum than the disk, and it will take longer to reach a given speed because of that.