If a kicker produces a torque of 8Nm with her muscles and the resulting angular acceleration of her leg is 20rad/m2, what is the moment of inertia of her leg?

Question

If a kicker produces a torque of 8Nm with her muscles and the resulting angular acceleration of her leg is 20rad/m2, what is the moment of inertia of her leg?

Answer 1

To find the moment of inertia of the leg, we can use Newton's second law of rotational motion, which states that the torque (τ) on an object is equal to the moment of inertia (I) multiplied by the angular acceleration (α).

The given torque (τ) is 8 Nm, and the angular acceleration (α) is 20 rad/m^2.

So, we can write the equation as:

τ = I * α

Solving for I, we have:

I = τ / α

Substituting the given values:

I = 8 Nm / 20 rad/m^2

Now, let's calculate the moment of inertia of the leg:

I = 0.4 kgm^2

Therefore, the moment of inertia of the leg is 0.4 kgm^2.