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A wheel of mass M and radius R rolls on a level surface without slipping. If the angular velocity of the wheel about its center is ?, what is its linear momentum relative to the surface?

Respuesta :

antonsandiego
The most important thing you should remember in order to get how is its linear momentum relative to the surface is that the point on the circumference is moving at w rad/second. 
Therefore, here is the solving formulae:
if [tex]v = R * w[/tex] you can easily get  linear momentum p :
 [tex]p = M * v = M * R * w [/tex]
I'm sure that helps.
onyebuchinnaji

The linear momentum of the wheel relative the surface is [tex]M \omega R[/tex].

What is angular speed?

Angular speed is the change in angular displacement with time. Angular speed is measured in radian per second.

What is linear speed?

Linear speed is the rate of change of displacement with time.

Linear speed is related to angular speed as follows, v = ωr.

What is linear momentum?

Linear momentum of an object is the product of mass and linear speed.

The linear momentum of the wheel relative the surface is calculated as follows;

[tex]P = Mv\\\\P = M(\omega R)\\\\P = M\omega R[/tex]

Learn more about linear momentum here: https://brainly.com/question/7538238