When Imx and Imy were estimated using these equations, the standard deviation of error which calculates the percent differences between the estimated and measured values amounted to +/- 5% in Imx and Imy. Moments of inertia for circular rings (Figure 1.48d) are determined as before: by subtracting the moment of inertia of the smaller from that of the larger circle. The multiple regression analysis of Ht2 and W with regard to Im was performed to obtain the following multiple regression equations: Imx = 3.44 Ht2 + 0.144 W - 8.04 (R = 0.973), Imy = 3.52 Ht2 + 0.125 W - 7.78 (R = 0.972). In a different class Im in, I am designing a toy car. For uniform objects, the moment of inertia is calculated by taking the product of its mass with the square of its distance from the axis of rotation (r 2 ). where I I is the moment of inertia of the ball. The difference between Imx and Imy might be affected by projection areas on the frontal from the sagittal area of the body. Im in a physics class in which we calculated the moment of inertia of a ball rolling down a ramp using a conservation of energy equation: 1 2mv2 + 1 2I2 mgh 1 2 m v 2 + 1 2 I 2 m g h. We see from this equation that the kinetic energy of a rotating rigid body is directly proportional to the moment of inertia and the square of the angular. The values of Imy/Imx becomes 93.6 and 95.2% independent of age and body size. In the case with the axis at the end of the barbellpassing through one of the massesthe moment of inertia is I2 m(0)2 + m(2R)2 4mR2. Both Imx and Imy account for the range from 5.6 to 14.0 kg m2 and 4.2 to 13.5 kg m2, respectively, and correlate linearly to body height (Ht) and body weight (W). Moment of inertia was measured in two postures of supine (Imx) and recumbent (Imy) positions.
One hundred and seventeen subjects of junior and senior high school boys of ages 13-18 participated in this study. This study measured the moment of inertia of the body using the oscillating table method, and saw how it is affected by age and body size.
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