Question

Suppose the person wanted to raise their arm above their head, rotating their arm upward from the position shown. if they move their arm with an angular acceleration of 4.7 rad/s^2, what is the magnitude of the force the deltoid muscle must provide?

A)F=4.7 N
B)F=9.8 N
C)F=14.5 N
D) F=20.3 N

Answer 1

Without the moment of inertia or further details about the arm, it is not possible to calculate the force the deltoid muscle must provide to achieve the given angular acceleration.

Step-by-step explanation:

To calculate the magnitude of the force the deltoid muscle must provide to raise the arm with an angular acceleration of 4.7 rad/s², we need to apply Newton's Second Law for rotation, which is τ = Iα where τ is the torque, I is the moment of inertia, and α is the angular acceleration. However, from the information provided we cannot determine the force because the moment of inertia of the arm is not given, which is a crucial element for this calculation. Without the moment of inertia or additional details about the mass and distribution along the arm, we cannot provide the correct answer among the options listed (A, B, C, D).