The moment of inertia of two masses connected by a mass-less rod is the sum of the masses multiplied by the. Then we will compare the two values and determine a percent error. The angular momentum of the spinning basketball is 0.6912 kg∙m 2/s. Moments of inertia more complicated objects. Then we will calculate the theoretical inertia using the moment of inertia equations for a disk and a ring. The moment of intertia of the first point is i1 0 (as the distance from the. If the basketball weighs 0.6000 kg and has a radius of 0.1200 m, what is the angular momentum of the basketball?Īnswer:The angular momentum of the basketball can be found using the moment of inertia of a hollow sphere, and the formula. However, let's now consider these points separately. The moment of inertia of a hollow sphere is, where M is the mass and R is the radius. The angular momentum of this DVD disc is 0.00576 kg∙m 2/s.Ģ) A basketball spinning on an athlete's finger has angular velocity ω = 120.0 rad/s. Knowing this, we're now ready to bring together angular speed, angular momentum, and moment of inertia in one equation. An arbitrary objects moment of inertia thus depends on the spatial distribution of its mass. What is the angular momentum of this disc?Īnswer: The angular momentum can be found using the formula, and the moment of inertia of a solid disc (ignoring the hole in the middle). This simple formula generalizes to define moment of inertia for an arbitrarily shaped body as the sum of all the elemental point masses dm each multiplied by the square of its perpendicular distance r to an axis k. When a DVD in a certain machine starts playing, it has an angular velocity of 160.0 radians/s. The moment of inertia of a solid disc is, where M is the mass of the disc, and R is the radius. 1) A DVD disc has a radius of 0.0600 m, and a mass of 0.0200 kg. Mathematically, the moment of inertia can be expressed in terms of its individual masses as the sum of the product of each individual mass and the squared.
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