Rotational Motion About a Fixed Axis Problem

[th3plan]

A wheel of diameter of .68m roll without slipping. A point at the top of the wheel moves witha tangential speed of 5.4m/s. Whaat speed is the axle of the wheel moving? What is the angular speed of the wheel?


Can someone work this problem out, so i can see how its done. My teacher flies through stuff, and doesn't explain have the stuff, because general physics is high school stuff he tells me. Thank You

 

[tiny-tim]

… which bit is stationary … ?

My teacher flies through stuff, and doesn't explain half the stuff, because general physics is high school stuff he tells me.

Hi th3plan!

Which half did you understand?

Did your teacher explain what "roll without slipping" means?

Did you understand which bit of the wheel is stationary?

 

[physixguru]

Rolling without slipping>> velocity = omega* radius.

Now for your reference, the top point of the wheel moves with twice the translational velocity of the the center of mass of wheel.

> velocity of center of mass= 5.4/2 m/s

now use velocity = omega *radius to get the angular velocity of the wheel.

Remember the velocity to be used is the velocity of the center of mass, which u have just calculated.