Point ‘P’ is on the rim of a 2-m radius wheel. At time, t = 0s, the wheel is at rest, point ‘P’ is on the x-axis and the wheel undergoes a uniform angular acceleration of 0.01 rad/s2 about its center. Determine the ff: a. The linear acceleration at ‘P’. b. The linear velocity of ‘P’ when it reaches the y-axis. c. The magnitude of acceleration of ‘P’ when it reaches the y-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.
Point ‘P’ is on the rim of a 2-m radius wheel. At time, t = 0s, the wheel is
at rest, point ‘P’ is on the x-axis and the wheel undergoes a uniform
angular acceleration of 0.01 rad/s2 about its center. Determine the ff:
a. The linear acceleration at ‘P’.
b. The linear velocity of ‘P’ when it reaches the y-axis.
c. The magnitude of acceleration of ‘P’ when it reaches the y-axis.
d. The angle formed between the acceleration vector of ‘P’ and the
y-axis when ‘P’ reaches the y-axis.
e. The time it takes for ‘P’ to return to its original position (makes
one revolution).
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