Kinetic Energy of Rolling ObjectIf an object is rolling without slipping, then its kinetic energy can be expressed as the sum of the translational kinetic energy of its center of mass plus the rotational kinetic energy about the center of mass. The angular velocity is of course related to the linear velocity of the center of mass, so the energy can be expressed in terms of either of them as the problem dictates, such as in the rolling of an object down an incline. Note that the moment of inertia used must be the moment of inertia about the center of mass. If it is known about some other axis, then the parallel axis theorem may be used to obtain the needed moment of inertia. Show Rotation concepts Rotational kinetic energy concepts A spinning science activity Key concepts Introduction Background 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. This leads to the question: Will all rolling objects accelerate down the ramp at the same rate, regardless of their mass or diameter? The answer depends on the objects’ moment of inertia, or a measure of how “spread out” its mass is. If two cylinders have the same mass but different diameters, the one with a bigger diameter will have a bigger moment of inertia, because its mass is more spread out. Similarly, if two cylinders have the same mass and diameter, but one is hollow (so all its mass is concentrated around the outer edge), the hollow one will have a bigger moment of inertia. Does moment of inertia affect how fast an object will roll down a ramp? Give this activity a whirl to discover the surprising result! Materials
But it is incorrect to say “the object with a lower moment of inertia will always roll down the ramp faster.” It takes a bit of algebra to prove (see the "Hyperphysics" link below), but it turns out that the absolute mass and diameter of the cylinder do not matter when calculating how fast it will move down the ramp—only whether it is hollow or solid. So, in this activity you will find that a full can of beans rolls down the ramp faster than an empty can—even though it has a higher moment of inertia. (It has the same diameter, but is much heavier than an empty aluminum can.) Applying the same concept shows two cans of different diameters should roll down the ramp at the same speed, as long as they are both either empty or full. The same principles apply to spheres as well—a solid sphere, such as a marble, should roll faster than a hollow sphere, such as an air-filled ball, regardless of their respective diameters. More to explore This activity brought to you in partnership with Science Buddies ABOUT THE AUTHOR(S)Ben Finio is a senior staff scientist at Science Buddies and a lecturer at the Cornell University Sibley School of Mechanical and Aerospace Engineering. Follow him on Twitter @BenFinio. What type of kinetic energy is a rolling ball?A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously.
What type of energy is rolling?Kinetic Energy is the amount of energy an object has due to its motion. This can be represented by the amount of energy of a ball rolling across the floor.
Is a rolling ball an example of kinetic energy?Kinetic energy is due to motion. So if the ball is rolling down it has kinetic energy. Potential energy is the stored energy which is waiting to be used.
Is a rolling ball mechanical energy?Because the massive ball has mechanical energy (in the form of kinetic energy), it is able to do work on the pin. Mechanical energy is the ability to do work.
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