Does angular velocity reduce the speed
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# Does angular velocity reduce the speed

[From: ] [author: ] [Date: 11-10-07] [Hit: ]
which was to roll a steel ball from an angled ramp. What I got so far is friction, which is the obvious one but I want to provide a factor that relates to what were doing (and we havent done friction yet this term).Does angular velocity cause the speed to be slower? Such as to compare a constant movement without it, to a movement with a rotation (such as a wheel).......
Doing a projectiles lab. We didn't actually learn angular velocity but I'm to provide a factor for any inaccuracy in our lab, which was to roll a steel ball from an angled ramp. What I got so far is friction, which is the obvious one but I want to provide a factor that relates to what we're doing (and we haven't done friction yet this term).

Does angular velocity cause the speed to be slower? Such as to compare a constant movement without it, to a movement with a rotation (such as a wheel).

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Yes, if the ball spins as it travels down the ramp, then it will be slower down the ramp than a frictionless block sliding down the ramp. Why?

The total energy of the steel ball when it is held up on the highest point of the ramp will be equal to the vertical distance above the surface of the ramp. This energy can be calculated using the Potential Energy equation: P.E. = mgh. When the ball starts rolling it will convert some of the potential energy into rotational kinetic energy and some of the energy into falling kinetic energy without the rotational component; of course you are correct in assuming that some energy will be lost due to friction. The Kinetic energy of rotation is called rotational Kinetic energy, and the kinetic energy of movement without spinning is translational kinetic energy. The law of Conservation of Energy tells us that the total Energy in a system can not be created or destroyed, but it can change form. This is what allows the Potential Energy to be converted into heat/sound of friction and the translational and rotational kinetic energy.

Also different rotating objects, with different rotational interias, will convert the potential energy into different amounts of rotational kinetic energy. For instance a solid ring of the same mass as a hollow ring with the same radius will not travel with the same translational kinetic energy due to the fact that they have different rotaitonal intertias or moments of inertia, and this will cause one to spin faster than another. The solid disc will beat the same size hollow disc down the ramp.
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