Final answer:
The recommended method to evaluate the strength of the triceps muscle is by using a dynamometer. For a professional boxer whose triceps exert a force resulting in an angular acceleration, the moment of inertia of the forearm can be calculated, providing a measure of the muscle's strength and effectiveness.
Step-by-step explanation:
Evaluating Triceps Strength: Recommended Method
The triceps muscle is a key muscle in the back of the upper arm responsible for extending the forearm. To evaluate the strength of the triceps muscle, the recommended method is using a dynamometer to measure the force exerted by the triceps (option 3). The other options such as measuring arm circumference, performing push-ups, or assessing range of motion might provide some insight but are not direct measures of muscular strength. Specifically, in the context of a professional boxer with a triceps muscle that exerts a force of 2.00 × 103 N and an effective lever arm length of 3.00 cm, generating an angular acceleration of the arm of 120 rad/s2, we can calculate the moment of inertia of the forearm. Using the formula τ = Iα, where τ is the torque, α is the angular acceleration, and I is the moment of inertia, we can solve for I as follows:
- First, calculate the torque τ by multiplying the force exerted by the triceps (2.00 × 103 N) with the lever arm (0.03 m).
- Apply τ = Iα to find I, where α is given as 120 rad/s2.
τ = (2.00 × 103 N) × (0.03 m)
τ = 60 N⋅m
Now, with the formula τ = Iα, we can substitute α and τ to find I:
60 N⋅m = I × 120 rad/s2
I = 60 N⋅m / 120 rad/s2
I = 0.5 kg⋅m2
The moment of inertia of the boxer's forearm is 0.5 kg⋅m2, revealing an aspect of the triceps muscle's strength and effectiveness in forearm movement.