Muscle Force Calculator

Formula

To calculate the muscle force (\(MF\)):

\[ MF = \frac{m \times g \times D1}{D2} \]

Where:

\(MF\) is the muscle force (N)
\(m\) is the mass of the weight being lifted (kg)
\(g\) is the acceleration due to gravity (9.81 m/s^2)
\(D1\) is the distance from the elbow to the hand (m)
\(D2\) is the distance from the elbow to the center of the bicep (m)

What is Muscle Force?

Muscle force refers to the magnitude of the force exerted by a muscle, or group of muscles. Muscle forces are measured in units of Newtons (N). One Newton is equal to the amount of force required to accelerate one kilogram of mass at a rate of one meter per second squared (1 kg·m/s²).

Example Calculation 1

Let's assume the following values:

Mass of Weight (\(m\)) = 10 kg
Distance from Elbow to Hand (\(D1\)) = 0.4 m
Distance from Elbow to Center of Bicep (\(D2\)) = 0.05 m

Using the formula:

\[ MF = \frac{10 \times 9.81 \times 0.4}{0.05} = \frac{39.24}{0.05} = 784.80 \text{ N} \]

The muscle force is approximately 784.80 N.

Example Calculation 2

Let's assume the following values:

Mass of Weight (\(m\)) = 5 kg
Distance from Elbow to Hand (\(D1\)) = 0.3 m
Distance from Elbow to Center of Bicep (\(D2\)) = 0.04 m

Using the formula:

\[ MF = \frac{5 \times 9.81 \times 0.3}{0.04} = \frac{14.715}{0.04} = 367.88 \text{ N} \]

The muscle force is approximately 367.88 N.