A 350-kg disk (with uniform density) is shown below. Its rotation axis is through its center. If the disk is initially at rest, how long does it take to reach an angular velocity of 25 rad/s? 4 20 N 18 N 0.25 m 0.75 m 1.0 m 0.5 m 16 N D. Е. А. 152.6 s 163.5 s В. 164.5 s 141.1 s С. 120.0 s F. 137.0 s
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.
Mass of the disc
Final angular velocity of the disc
Radius of the disc
The moment of inertia of this uniform disc is given by;
Substituting the values;
According to the diagram, there are three different forces acting on the disc. Hence, the net torque on this disc at its center will be;
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