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How Do You Calculate Torque in a Rotating System?

To find out how much torque (we call it τ\tau) is in a spinning system, you can use this formula:

τ=r×Fsin(θ)\tau = r \times F \cdot \sin(\theta)

Let's break that down:

  • rr is how far you are from the pivot point to where you apply the force. Think of it like the distance between the hinge and the door handle.
  • FF is how strong your push or pull is.
  • θ\theta is the angle between the direction of your force and the lever arm (which is the part you are pushing).

Here’s a simple example:

When you push the handle of a door, the distance from the door's hinge to the handle is rr. The force you use to push the door is FF, and if you push at an angle θ\theta, the torque you create helps you open the door more easily.

So, the more effectively you apply your force, the easier it will be to move things!

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How Do You Calculate Torque in a Rotating System?

To find out how much torque (we call it τ\tau) is in a spinning system, you can use this formula:

τ=r×Fsin(θ)\tau = r \times F \cdot \sin(\theta)

Let's break that down:

  • rr is how far you are from the pivot point to where you apply the force. Think of it like the distance between the hinge and the door handle.
  • FF is how strong your push or pull is.
  • θ\theta is the angle between the direction of your force and the lever arm (which is the part you are pushing).

Here’s a simple example:

When you push the handle of a door, the distance from the door's hinge to the handle is rr. The force you use to push the door is FF, and if you push at an angle θ\theta, the torque you create helps you open the door more easily.

So, the more effectively you apply your force, the easier it will be to move things!

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