user

How to convert Nm to kg.m

alphonsio

To convert Newton meters (Nm) to kilogram meters (kg.m), it's important to understand that they measure different quantities. Newton meters measure torque (or moment of force), while kilogram meters measure mass times distance.

However, if you're looking to understand the equivalence in terms of the force exerted by a mass in a gravitational field, you can use the following relations:

$\Gamma_{Nm} = g \times \Gamma_{kg.m} \approx 9.81 \times \Gamma_{kg.m}$

or:

$\Gamma_{kg.m} = \frac{\Gamma_{Nm}}{g} \approx 0.102 \times \Gamma_{Nm}$

On earth, 1 kilogram exerted at a radius of 1 meter is equivalent to 9.81 N.m :

$1kg.m = 9.81~N \cdot m$

or:

$1Nm = 0.102~kg \cdot m$

To interpret Nm in terms of kg.m, it's useful to involve the acceleration due to gravity (g ≈ 9.81 m/s²). For example, when we talk about weight, we relate mass (kg) to force (N) via gravity:

$1 \, \text{N} = 1 \, \text{kg} \cdot 9.81 \, \text{m/s}^2$

So, in a gravitational field, a torque of 1 Nm could be thought of as the torque exerted by a mass of approximately 0.102 kg (since 1 N ≈ 0.102 kg * 9.81 m/s²) at a radius of 1 meter:

$1 \, \text{Nm} \approx 0.102 \, \text{kg} \cdot \text{m}$

However, it's important to note that this is a simplification and assumes a gravitational context. Direct conversion isn't standard because they fundamentally measure different physical concepts.