1) A student measures the acceleration of a disk with 12 cm radius. She attaches a 150 g mass to the string and winds it around a 1 cm radius axle. When the mass drops, the tension from its weight creates an angular acceleration of 1.7 radians/s2 on the disk. (This refers to sections 1.1 through 1.4 and utilizes the equations in the theory. Be careful to use the correct radius when you use equation 4.) a) Calculate the moment of inertia of the disk. b) Calculate the mass of the disk. 2) She adds the cylinder with inner and outer radii are 5 and 5.5 cm respectively. Using the same mass and axle radius as before she measures a new angular acceleration of 1.46 radians/s2 . a) Calculate the moment of inertia of the disk and cylinder together. b) Calculate the moment of inertia of the cylinder by itself. c) Calculate the mass of the cylinder.
1) A student measures the acceleration of a disk with 12 cm radius. She attaches a 150 g mass to the string and winds it around a 1 cm radius axle. When the mass drops, the tension from its weight creates an angular acceleration of 1.7 radians/s2 on the disk. (This refers to sections 1.1 through 1.4 and utilizes the equations in the theory. Be careful to use the correct radius when you use equation 4.) a) Calculate the moment of inertia of the disk. b) Calculate the mass of the disk. 2) She adds the cylinder with inner and outer radii are 5 and 5.5 cm respectively. Using the same mass and axle radius as before she measures a new angular acceleration of 1.46 radians/s2 . a) Calculate the moment of inertia of the disk and cylinder together. b) Calculate the moment of inertia of the cylinder by itself. c) Calculate the mass of the cylinder.
1) A student measures the acceleration of a disk with 12 cm radius. She attaches a 150 g mass to the string and winds it around a 1 cm radius axle. When the mass drops, the tension from its weight creates an angular acceleration of 1.7 radians/s2 on the disk. (This refers to sections 1.1 through 1.4 and utilizes the equations in the theory. Be careful to use the correct radius when you use equation 4.) a) Calculate the moment of inertia of the disk. b) Calculate the mass of the disk. 2) She adds the cylinder with inner and outer radii are 5 and 5.5 cm respectively. Using the same mass and axle radius as before she measures a new angular acceleration of 1.46 radians/s2 . a) Calculate the moment of inertia of the disk and cylinder together. b) Calculate the moment of inertia of the cylinder by itself. c) Calculate the mass of the cylinder.
1) A student measures the acceleration of a disk with 12 cm radius. She attaches a 150 g mass to the string and winds it around a 1 cm radius axle. When the mass drops, the tension from its weight creates an angular acceleration of 1.7 radians/s2 on the disk. (This refers to sections 1.1 through 1.4 and utilizes the equations in the theory. Be careful to use the correct radius when you use equation 4.) a) Calculate the moment of inertia of the disk. b) Calculate the mass of the disk. 2) She adds the cylinder with inner and outer radii are 5 and 5.5 cm respectively. Using the same mass and axle radius as before she measures a new angular acceleration of 1.46 radians/s2 . a) Calculate the moment of inertia of the disk and cylinder together. b) Calculate the moment of inertia of the cylinder by itself. c) Calculate the mass of the cylinder.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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