Consider the 15.0 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.440 m. The motorcycle is on its center stand, so that the wheel can spin freely. (a) If the drive chain exerts a force of 2190 N at a radius of 5.00 cm, what is the angular acceleration (in rad/s2) of the wheel? rad/s2 (b) What is the tangential acceleration (in m/s2) of a point on the outer edge of the tire? m/s2 (c) How long (in s), starting from rest, does it take to reach an angular velocity of 80.0 rad/s? 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.
Consider the 15.0 kg motorcycle wheel shown in the figure.
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