Which has greater moment of inertia solid sphere or solid cylinder?

Complete step by step answer: So from above discussion, we know that If a solid sphere and solid cylinder of same mass and density rotate about their own axis the moment of inertia will be greater for the solid cylinder.

Which has more rotational inertia a solid sphere or a solid cylinder of the same mass and radius?

Solid sphere is faster than solid cylinder since sphere has lower moment of inertia, higher translational kinetic energy. Hollow object is slower than equivalent solid object. Objects of same dimension but different mass will reach the bottom at the same time.

Why is the moment of inertia of a sphere less than a cylinder?

Mathematically for a solid sphere it is 2/3MR^2 whereas for a hollow cylinder it is MR^2. Answer: Since, the outer volume of the solid sphere is less than that of the hollow sphere, its moment of inertia is also less.

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.

Which has more moment of inertia hollow sphere or solid sphere?

A hollow sphere will have a much larger moment of inertia than a uniform sphere of the same size and the same mass.

Why does a solid sphere have a smaller moment of inertia?

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.

Why moment of inertia of hollow sphere is more than solid 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 …

What is moment of inertia of a solid sphere?

the moment of inertia of a solid sphere is. I(solid sphere) = kg m2. and the moment of inertia of a thin spherical shell is. I(spherical shell) = kg m2.