The model of a ceiling fan shown in the figure consists of a uniform solid cylinder, of radius R = 0.083 m and mass MC = 1.9 kg, and two long uniform rods, each of length L = 0.68 m and mass MR = 2.3 kg, that are attached to the cylinder and extend from its center. Ignore the vertical rod that connects the fan to the motor. d) Calculate the moment of inertia, in units of kilogram meters squared, of the whole fan about the rotation axis.
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.
The model of a ceiling fan shown in the figure consists of a uniform solid cylinder, of radius R = 0.083 m and mass MC = 1.9 kg, and two long uniform rods, each of length L = 0.68 m and mass MR = 2.3 kg, that are attached to the cylinder and extend from its center. Ignore the vertical rod that connects the fan to the motor.
d) Calculate the moment of inertia, in units of kilogram meters squared, of the whole fan about the rotation axis.
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