How do you convert between newton-metres and joules?

To convert between newton-metres and joules, you simply use a 1:1 ratio since they are equivalent.

In physics, both newton-metres (Nm) and joules (J) are units of measurement for energy, work, or amount of torque. One newton-metre is defined as the amount of torque resulting from a force of one newton applied perpendicularly to the end of a one-metre long lever arm. Similarly, one joule is the amount of energy transferred when a force of one newton moves an object one metre in the direction of the force.

Because of this direct relationship, 1 newton-metre is exactly equal to 1 joule. This means that if you have a value in newton-metres and you want to convert it to joules, you don't need to do any complex calculations; you just change the unit. For example, if you have 5 newton-metres of torque, this is equivalent to 5 joules of energy.

This equivalence makes it easy to switch between the two units depending on the context of the problem you're solving. In many physics problems, especially those involving mechanical systems, you might find it more convenient to use newton-metres when discussing torque and joules when discussing energy. However, knowing that they are interchangeable can simplify your calculations and help you better understand the relationships between different physical quantities.