A shank has a moment of inertia about the knee joint of 0.18 kg∙m^2. Assume that the quadriceps muscles (vasti and the rectus femoris) contract to extend the knee. If the vasti produce a torque of 0.4 Nm about the knee joint, what torque (in Nm) about the knee joint must the rectus femoris produce to cause a shank angular acceleration of 23.2 rad/s^2?

Respuesta :

Answer:

Torque will be equal to 4.176 N-m

Explanation:

It is given moment of inertia about knee joint [tex]I=0.18kgm^2[/tex]

Angular acceleration produced [tex]\alpha =23.2rad/sec^2[/tex]

We e have to find the torque

Torque is equal to [tex]\tau =I\alpha[/tex] , here I is moment of inertia and [tex]\alpha[/tex] is angular acceleration.

Torque will be equal to [tex]\tau =0.18\times 23.2=4.176Nm[/tex]

So torque is equal to 4.176 N-m