Calculate A for Person's Arms in Oscillatory Motion

[sheri1987]

Homework Statement

The moment of inertia for an arm or leg can be expressed as I = amL2, where a is a unitless number that depends on the axis of rotation and the geometry of the limb and L is the distance to the center of mass. Say that a person has arms that are 27.80 cm in length and legs that are 38.92 cm in length and that both sets of limbs swing with a period of 1.40 s. Assume that the mass is distributed evenly over the length for both the arm and leg.

**Calculate the value of A for the person's arms.

Homework Equations

I am not sure of any equations that include Amplitude.

Here is one that relates to the problem, but cannot be used to solve A:

T = 2pi(sqrt(I/mgL))


T= period given (1.4 s)
I = ?
L = given 27.80
g = gravity 9.81
m =?

The Attempt at a Solution

I'm just really confused on how to go about this problem? Any advice?

 

[Kurdt]

Are you sure its amplitude they want and not the little constant in the moment of inertia equation?