Calculate the moment of inertia about the z-axis, IZ, for a mass m = 3 mg, that rotates about the z-axis at f = 5400 rpm, with radius of rotation R = 3.0 inches. Also calculate the angular velocity (ω, omega) and the tangential velocity, v, of the mass. Calculate the rotational kinetic energy
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.
Calculate the moment of inertia about the z-axis, IZ, for a mass m = 3 mg, that rotates about the z-axis at f = 5400 rpm, with radius of rotation R = 3.0 inches. Also calculate the
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