What is the Angular Speed of a Car Wheel?

AI Thread Summary
To calculate the angular speed of a car wheel that turns 277 degrees in 10.7 seconds, first convert 277 degrees to radians, which is approximately 4.84 radians. The formula for angular speed is ω = Θ / t, where Θ is the angle in radians and t is the time in seconds. Using this formula, the angular speed can be determined by dividing the angle in radians by the time. The discussion emphasizes the importance of using the correct units and understanding the relationship between angular speed and linear speed. This approach simplifies the calculation process for determining angular speed.
chowyo123
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A car wheel turns through 277 degrees in 10.7 s. Calculate the angular speed of the wheel.

Well, i know the Angular Accelereartion is equal to the change in angular velocity divided by the time required to make that change.

So should i first convert 277 degrees to radians?.. which is 277/180pie. I guess I'm not even sure where to begin right now.
 
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you're forgetting a simple equation:

\omega = \Theta / t
 
Yes,as andrewchang said. All you are finding is a speed, which is equivelent to s = d / t (speed equals distance divided by time). In your case, however, you are using degrees.

Hope this helped.
 
wow, thanks. That should help me greatly.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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