Kinematics without rolling or sliding

In summary, the speed of the tape attached to a rolling wheel will remain constant regardless of its position on the wheel or the road, due to the lack of slipping or sliding. This is in accordance with the equation v= vo+at, where the initial velocity (vo) is equal to the final velocity (v) due to the constant acceleration (a=0).
  • #1
ac7597
126
6
Homework Statement
A wheel is rolling along a road, without slipping or sliding, attached to a car moving with a speed v. A piece of tape is attached to the outer edge of the wheel. When the tape is opposite the road (at the top of the wheel), its speed with respect to the road is
Relevant Equations
v= vo+at
I initially thought it is v, because the speed shouldn't change when the tape is on top.
 
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  • #2
ac7597 said:
Homework Statement: A wheel is rolling along a road, without slipping or sliding, attached to a car moving with a speed v. A piece of tape is attached to the outer edge of the wheel. When the tape is opposite the road (at the top of the wheel), its speed with respect to the road is
Homework Equations: v= vo+at

I initially thought it is v, because the speed shouldn't change when the tape is on top.
How fast is the centre of the wheel moving?
How fast is the tape moving when the wheel has rotated so that the tape is on the road?
 

Related to Kinematics without rolling or sliding

What is kinematics without rolling or sliding?

Kinematics without rolling or sliding is the study of the motion of objects that do not roll or slide, but instead move in a straight line or rotate around a fixed axis.

What are the basic principles of kinematics without rolling or sliding?

The basic principles of kinematics without rolling or sliding include the laws of motion, which describe how objects move in response to forces, and the concept of linear and angular motion.

What is the difference between linear and angular motion?

Linear motion refers to the movement of an object in a straight line, while angular motion refers to the rotation of an object around a fixed axis.

How is kinematics without rolling or sliding used in real-world applications?

Kinematics without rolling or sliding is used in a variety of real-world applications, such as in the design of machinery, vehicles, and structures, as well as in sports and games.

What are some common equations used in kinematics without rolling or sliding?

Some common equations used in kinematics without rolling or sliding include the equations for velocity, acceleration, and displacement, as well as the equations for linear and angular motion.

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