two disks that can rotate about their centers like a merry-go-round. At time t = 0, the reference lines of the two disks have the same orientation. Disk A is already rotating, with a constant angular velocity of 9.5 rad/s. Disk B has been stationary but now begins to rotate at a constant angular acceleration of 2.2 rad/s2. (a) At what time t will the reference lines of the two disks momentarily have the same angular displacement u? (b) Will that time t be the first time since t = 0 that the reference lines are momentarily aligned?
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.
two disks that can rotate about their
centers like a merry-go-round. At
time t = 0, the reference lines of the
two disks have the same orientation.
Disk A is already rotating, with a constant
Disk B has been stationary but now begins to rotate at a constant
lines of the two disks momentarily have the same
u? (b) Will that time t be the first time since t = 0 that
the reference lines are momentarily aligned?
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