How to Calculate Angular Velocity of Stick A Given Angular Velocity of Stick C?

[teng125]

but let say there are thre rods which are joining together to become a stick but not straight.stick A,stick B and stick C.if the angular velocity of stick C is given,how can i find the angular velocity of stick A??

pls help...

 

[qtp]

if the rods are all three connected together then they all three have the same angular frequency. the linear velocity would be
$$v = \omega r$$
unless i misunderstand the question

 

[quicknote]

I would approach this problem by first understanding the concept of angular velocity. Angular velocity refers to the rate of change of an object's angular position with respect to time. In this case, we are dealing with three separate sticks that are joined together, forming a complex system.

To find the angular velocity of stick A, we need to consider the relationship between the angular velocity of stick C and the overall angular velocity of the system. This can be done by using the principle of conservation of angular momentum, which states that the total angular momentum of a system remains constant, unless acted upon by an external torque.

In this case, the angular momentum of the system is shared between the three sticks, with each stick contributing to the overall angular velocity. Therefore, we can use the equation:

Angular momentum of stick A + Angular momentum of stick B + Angular momentum of stick C = Total angular momentum of the system

Since the angular velocity of stick C is given, we can use this equation to solve for the angular velocity of stick A. The equation would look like this:

Iaωa + Ibωb + Icωc = Itotalωtotal

Where I represents the moment of inertia of each stick and ω represents the angular velocity. By rearranging the equation, we can solve for ωa, which would give us the angular velocity of stick A.

In summary, by using the principle of conservation of angular momentum, we can determine the angular velocity of stick A by considering the angular velocity of stick C and the overall angular velocity of the system. I hope this helps.