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 wheel accelerates from rest to 2.53 rad/s at a rate of 4.64 rad/s2. Through what angle (in radians) did the wheel turn while accelerating?
A machinist turns the power on to a grinding wheel, at rest, at time t = 0 s. The wheel accelerates uniformly for 10 s and reaches the operating
A torque of 15.09 Nm is applied to a solid, uniform disk of radius 0.8 m. If the disk accelerates at 7 rad/s2. What is the mass (unit=kg) of the disk?
A light triangular plate OAB is in a horizontal plane. Three forces,F1 =10 N, F2 = 3.2 N, and F3 = 7N act on the plate, which is pivoted about a vertical axis through point O. In the figure, consider the counterclockwise sense as positive. The sum of the torques about the vertical axis through point O, acting on the plate due to forces F1, F2, and F3, is closest to: (the answer's unit is Nm)
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