Mass and Rotation Be able to use the rotational dynamics apparatus to measure the moment of inertia of a meterstick. Or, given data on a meterstick such as the radius/diameter of a pulley, and a table of data (e.g., hanging mass and corresponding angular acceleration), determine the moment of inertia of the meterstick and its mass. Use equilibrium considerations to relate masses, their positions, and the system's center of mass. SAMPLE You are measuring the moment of inertia and mass of a meterstick, as in lab. In this case, the pulley attached to the meterstick has a radius of 2.00 cm, different from the value in lab. The following values are obtained for the hanging mass and the angular acceleration. m Trial Total mass hanging from cord 30.0 grams 50.0 grams 70.0 grams 90.0 grams 1 2 3 4 Angular Acceleration of meterstick 0.392 rad/sec² 0.653 rad/sec² 0.913 rad/sec² 1.17 rad /sec² For each of the four trials, calculate the torque exerted on the disk. (Be sure to show your work.) Carefully construct a large graph of torque vs. angular acceleration, and from the slope determine the moment of inertia of the disk. Include units! (final answer: 0.0151 kg m²) From the results of your experiment, what is the mass of the meterstick? (final answer: 181 g) Now imagine that we balance the meterstick on a pivot point by placing a 160 gram weight 18.0 cm from the "0 cm" end of the meterstick. Using your value of the meterstick mass, determine the position of the pivot point. Be specific! (final answer: pivot point is 35.0 cm from the "0 cm" end of the meterstick.)

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.