Answered

the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 1975 n with an effective perpendicular lever arm of 2.50 cm , producing an angular acceleration of the forearm of 115.0 rad / s2 . what is the moment of inertia of the boxer's forearm?



Answer :

The moment inertia of the boxer's forearm is 0.43 kgm².

We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as

τ = F x r

where τ is torque, F is perpendicular force and r is radius.

Torque also depends on the moment inertia

τ = I . α

where I is inertia and α is angular acceleration.

From the question above, the given parameters are

F = 1975 N

r = 2.5 cm = 0.025 m

α = 115 rad/s²

Substitute the first equation with the second equation and we can calculate the inertia of the boxer's forearm

τ = τ

F x r = I . α

1975 . 0.025 = I . 115

I = 0.43 kgm²

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