What shape has highest moment of inertia?

The more the mass is “away’ from the axis, the greater the moment of inertia (with the same total mass). So for instance a hollow cylinder has a greater moment of inertia than a solid cylinder (with the same mass).

Would you expect the moment of inertia of a sphere to be greater than or less than the moment of inertia of a cylinder with the same radius and total mass?

On the other hand, for a solid sphere some particles are at different distance from other, thus their contribution to the moment of inertia is less. So the overall moment of inertia of a solid sphere is less than a hollow cylinder.

Which has a greater moment of inertia a solid sphere or a solid disk?

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.

Does a solid sphere or hollow sphere have a greater moment of inertia?

You should find that a solid object will always roll down the ramp faster than a hollow object of the same shape (sphere or cylinder)—regardless of their exact mass or diameter. (Although they have the same mass, all the hollow cylinder’s mass is concentrated around its outer edge so its moment of inertia is higher.)

What is moment of inertia of cube?

Moment of inertia of the cube is calculated using different equations depending on the location of its axis. When the axis of rotation is at the centre: I = 1/6 ma2 = ma2/6 when the axis of rotation passes through the centre. I = 2mb2 / 3 when the axis of rotation passes through its edge.

What is moment of inertia of sphere?

Moment Of Inertia Of Sphere Moment of inertia of sphere is normally expressed as; I = (⅖ )MR2. Here, R and M are the radius and mass of the sphere respectively.

What has more inertia a sphere or a cylinder?

For cylinder and sphere, if they have the same mass and radius, cylinder has a larger moment of inertia because it is more massive at places away from the center. The sphere will have a greater speed and it will reach the bottom first, because its moment of inertia is smaller.

What rolls faster a sphere or cylinder?

Solid cylinders of different mass and radius roll down the incline at the same rate & reach the bottom at the same time. Solid sphere is faster than solid cylinder since sphere has lower moment of inertia, higher translational kinetic energy.

Which has a greater moment of inertia a solid sphere or a solid disk assume that they both have the same radius and same mass?

Assuming both the objects have the same mass and radius, then the solid cylinder has greater moment of inertia than the solid sphere.

Why moment of inertia of hollow sphere is greater than sphere?

Since a solid sphere has much of its mass toware the middle of the sphere – that is, not far from the axis of rotation, while a hollow sphere has none of its mass in the middle of the sphere, the moment of inertia of the hollow sphere will be greater – assuming the total mass and radius is the same as that of the solid …

Why moment of inertia of solid sphere is less than hollow sphere?

But in case of a solid sphere, the same mass is distributed throughout at distance from zero to R from the axis of symmetry. Here, R is radius of cylinder/sphere. That is why a solid sphere has smaller moment of inertia than a hollow cylinder of same mass and radius.