What is now the magnitude of the angular acceleration of the cylinder? 66.730 rad/s^2 How far does mass m travel downward between t = 0.59 s and t = 0.79 s (Assuming motion begins at time t = 0.0 s)? The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.4624 m in a time interval of 0.53 s. Find Icm of the new cylinder.
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.
A solid cylinder of mass M = 1.81 kg and radius R = 14.7 cm pivots on a thin, fixed, frictionless bearing (see Figure). A string wrapped around the cylinder pulls downward with a force F = 6.278 N.
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