Clock Spring Torque: Understanding Input and Output Torque in Winding Mechanics

[John_tawil]

I'm winding up a clock spring from the outside and release from the inside. Is the input torque = to the output torque?

How would i go about setting up this problem

 

[K^2]

Has to be. Imagine that you are just holding the wound spring from inside and outside. If the two torques don't cancel each other out, there is a net torque on the spring. If there is net torque, it has angular acceleration. But you are holding the spring, so it's not accelerating. Therefore, the two torques are equal.

 

[John_tawil]

THank you

 

[sophiecentaur]

Has to be. Imagine that you are just holding the wound spring from inside and outside. If the two torques don't cancel each other out, there is a net torque on the spring. If there is net torque, it has angular acceleration. But you are holding the spring, so it's not accelerating. Therefore, the two torques are equal.

I just love those Null Arguments. Bomb proof and take care of all counter intuitive worries.

 

[PJC01]

Yes, the input torque is equal to the output torque in this scenario. This is because the winding mechanics of a clock spring involve the transfer of energy from the outside to the inside, resulting in the same amount of torque being applied at both ends.

To set up this problem, you would first need to determine the variables involved, such as the radius of the spring, the angle of rotation, and the force applied. You would also need to consider any friction or other external forces that may affect the torque.

Next, you would use the fundamental principles of torque and rotational motion to calculate the input and output torque. This would involve using equations such as T = Fr (torque equals force times radius) and T = Iα (torque equals moment of inertia times angular acceleration).

Once you have calculated the input and output torque, you can compare the two values to determine if they are equal. If they are not, you may need to account for any external factors that could be affecting the torque.

In conclusion, understanding the input and output torque in winding mechanics is essential for accurately winding a clock spring. By carefully setting up the problem and using the principles of torque, you can determine if the input and output torque are equal in your specific scenario.