Does a cylinder or sphere roll faster?

Objects of equal mass and radius but different shape or solid/hollow will roll down the incline at different rates. Solid sphere is faster than solid cylinder since sphere has lower moment of inertia, higher translational kinetic energy.

Which will roll down a hill faster?

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.

Which object has the greatest total kinetic energy at the bottom of the ramp?

Which has the greater rotational kinetic energy? The sphere has the greater speed at the bottom of the ramp since it has less rotational inertia.

Why does a ball roll faster down a steep slope?

This is because moving up or down a hill changes one kind of energy into another. Objects at the bottom of the hill have more kinetic energy, which means they are moving faster.

Which cylinder rolls the fastest?

This also assumes that the change in height of the center of mass is the same for all 3. If the center of masses of the large and small ball are at the same height on the same incline, then the large ball will fall a lesser distance and so the small ball will roll faster.

Which of the following solids will roll down an inclined plane?

A solid sphere, a thin hoop, and a solid cylinder all roll down an incline plane from rest.

Why do heavier balls roll faster?

There will be a resultant force which will be proportional to the mass of the object. Hence an object with greater mass feels greater force than the other one. So even if the slope is same for both objects, a massive object moves faster through the slope than a less mass object.

Why does a ball roll faster?

This is because the larger ball has a greater rotational inertia (I = 0.4mr2 ) due to its larger radius. Because of its greater rotational inertia, the larger ball has a greater rotational kinetic energy 0.5 Iω2, and hence a smaller translational kinetic energy 0.5mv2.

Why does a solid sphere reach the bottom first?

Since both objects have the same mass, the one with a larger moment of inertial will have more total kinetic energy if they rotate and move with the same speed. The sphere will have a greater speed and it will reach the bottom first, because its moment of inertia is smaller.

When they reach the bottom which has the greater rotational kinetic energy?

Therefore, the rotational kinetic energy will depend on the moment of inertia. But the answer says that since the hollow cylinder has greater moment of inertia, it has greater rotational kinetic energy.

What keeps the ball from rolling down the hill?

Neither you nor the teacher are seeing the whole picture: inertia both keeps the ball from rolling when gravity first starts pulling on the heavier object it and keeps it rolling when it reaches the bottom of the hill. Both marbles travel the same distance.

Does a solid cylinder have a lower moment of inertia than hollow?

The answer is that the solid one will reach the bottom first. In that specific case it is true the solid cylinder has a lower moment of inertia than the hollow one does. (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.)

Why won’t the marbles go down the hill at the same speed?

If the only force is gravity (assuming F_grav >> F_friction) acting on the marbles down the hill, won’t they reach the bottom of the hill, at the same time, with the same speed? Thanks for your questions and the help. The force of friction slows the balls down.

What type of energy is a ball rolling down a ramp?

For a rolling object, kinetic energy is split into two types: translational (motion in a straight line) and rotational (spinning). So when you roll a ball down a ramp, it has the most potential energy when it is at the top, and this potential energy is converted to both translational and rotational kinetic energy as it rolls down.