![]() In logger pro, adjust the “lines per rotation” to 200 for the rotary sensor. This is an example of what the apparatus should look like, (without the triangle) Place appropriate disks on apparatus and attach/activate air hose to reduce the friction between the disk and apparatus. Next, set up angular velocity measurement device with logger pro. These include: Mass and diameter of steel and aluminum plates, mass of hanging mass and diameter of torque pulleys. The first step is to measure all the parameters necessary to do our calculations. After calculating the experimental angular acceleration (and accounting for friction) we can compare the theoretical moment of inertia with the experimental. We can do this by measuring the applied torque, and resultant angular acceleration (both positive and negative). The second half of this lab will attempt to calculate the value for our disk’s moment of inertia. If the moment of inertia is increased -possibly through increasing the mass of the disk- we expect angular acceleration to decrease. We expect, for example, that if applied torque increases then angular acceleration increases. If the torque being applied is doubled, how will that affect the angular acceleration? In the lab we will change one parameter at a time and observe the resulting changes. The first part of this lab will attempt to demonstrate how changing these parameters will affect angular acceleration. This parameter, along with the magnitude of torque being applied, affect the magnitude of the angular acceleration of an object in accordance to the following equation: Torque = (moment of Inertia) * (angular Acceleration). The larger an objects moment of inertia, the more difficult it is to rotate. Objects have the same property when it comes to angular acceleration, called moment of inertia. Theory: Inertia, put simply, is an objects resistance to being accelerated. To use data collected to calculate moment of inertia of our disk. Purpose: Observe the affect that changing parameters such as hanging mass and disk radius have on angular acceleration. The moment of inertia depends on how mass is distributed around an axis of rotation, and will vary depending on the chosen axis.Mirielle Sabety, Keane Wong, Anthony Moody The moment of inertia plays the role in rotational kinetics that mass (inertia) plays in linear kinetics-both characterize the resistance of a body to changes in its motion. ![]() m 2) in SI units and pound-foot-second squared (lbf.Moments of inertia may be expressed in units of kilogram metre squared (kg The amount of torque needed to cause any given angular acceleration (the rate of change in angular velocity) is proportional to the moment of inertia of the body. When a body is free to rotate around an axis, torque must be applied to change its angular momentum. For bodies free to rotate in three dimensions, their moments can be described by a symmetric 3-by-3 matrix, with a set of mutually perpendicular principal axes for which this matrix is diagonal and torques around the axes act independently of each other. ![]() Its simplest definition is the second moment of mass with respect to distance from an axis.įor bodies constrained to rotate in a plane, only their moment of inertia about an axis perpendicular to the plane, a scalar value, matters. The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same axis). It is an extensive (additive) property: for a point mass the moment of inertia is simply the mass times the square of the perpendicular distance to the axis of rotation. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation. The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. To improve their maneuverability, war planes are designed to have smaller moments of inertia compared to commercial planes. ![]()
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