Question

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?

Answer 1

Torque will be equal to 4.176 N-m

Step-by-step explanation:

It is given moment of inertia about knee joint
`I=0.18kgm^2`

Angular acceleration produced
`\alpha =23.2rad/sec^2`

We e have to find the torque

Torque is equal to
`\tau =I\alpha` , here I is moment of inertia and
`\alpha` is angular acceleration.

Torque will be equal to
`\tau =0.18* 23.2=4.176Nm`

So torque is equal to 4.176 N-m