Angular velocity and acceleration

In summary, the problem involves a block moving to the left at a constant velocity v. The task is to determine the distance x, the angular velocity, and the angular acceleration as functions of Q. The given equations are tagQ=a/x and x=a/tagQ. The question is whether finding the first and second derivatives of x is enough to determine the velocity and acceleration.
  • #1
skp123
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Homework Statement



The block moves to the left with a constant velocity v.

a)determine the distance x as a function of Q .
b)determine the Angular velocity as a function of Q
c)determine the Angular acceleration as a function of Qhttp://img98.imageshack.us/img98/3691/16293179.jpg

Homework Equations


The Attempt at a Solution

Here is how i find the distance x. tagQ=a/x -> x=a/tagQ .
Can anybody help me a little bit how to find b). Is it enough just to find the 1-st and 2-nd derivative of x in order to find velocity and acceleration ?
 
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  • #2
Can anyone give me a little hint ?
 

1. What is angular velocity?

Angular velocity is the rate at which an object rotates around a fixed axis. It is typically measured in radians per second (rad/s) or degrees per second (deg/s).

2. How is angular velocity different from linear velocity?

Angular velocity involves rotation around a fixed axis, while linear velocity involves movement in a straight line. Angular velocity is also measured in angular units, while linear velocity is measured in linear units.

3. What factors affect angular velocity?

The factors that affect angular velocity include the speed of rotation, the distance from the axis of rotation, and the mass of the object. Changes in any of these factors can cause a change in angular velocity.

4. What is angular acceleration?

Angular acceleration is the rate of change of angular velocity over time. It is typically measured in radians per second squared (rad/s²) or degrees per second squared (deg/s²).

5. How is angular acceleration related to angular velocity?

Angular acceleration and angular velocity are directly related. If angular acceleration is constant, the change in angular velocity over time will also be constant. This means that the greater the angular acceleration, the faster the object will rotate.

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