What is the Angular Speed of a Car Wheel?

In summary, the conversation discusses calculating the angular speed of a car wheel that turns through 277 degrees in 10.7 seconds. The equation \omega = \Theta / t is mentioned as a way to find the angular speed, and the importance of converting degrees to radians is also brought up. The conversation concludes with the reminder that speed can be found using the equation s = d / t, where d represents distance and t represents time.
  • #1
chowyo123
12
0
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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  • #2
you're forgetting a simple equation:

[tex] \omega = \Theta / t [/tex]
 
  • #3
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.
 
  • #4
wow, thanks. That should help me greatly.
 

1. What is angular speed?

Angular speed refers to the rate at which an object rotates around a fixed axis. In the context of a car wheel, it is the speed at which the wheel is turning.

2. How is angular speed measured?

Angular speed is measured in radians per second (rad/s) or degrees per second (deg/s). Radians per second is the more commonly used unit for scientific calculations.

3. What factors affect the angular speed of a car wheel?

The angular speed of a car wheel is affected by the size and shape of the wheel, the speed at which the car is moving, and the torque applied to the wheel.

4. How does the angular speed of a car wheel impact the car's movement?

The angular speed of a car wheel directly affects the linear speed of the car. The faster the wheel rotates, the faster the car will move. This is because the linear speed of the car is equal to the angular speed of the wheel multiplied by the radius of the wheel.

5. Can the angular speed of a car wheel change?

Yes, the angular speed of a car wheel can change as the car accelerates, decelerates, or turns. It can also be changed by applying more or less torque to the wheel.

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