A pulley of moment of inertia 1.9 kg · m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Assume the following data: r, = 43 cm, r2 = 20 cm, m, = 1.0 kg, and m2 = 2.8 kg. m2 (a) What is the angular acceleration of the pulley? (Enter the magnitude in rad/s2.) rad/s2 (b) What is the linear acceleration (in m/s2) of the weights? (Indicate the direction with the signs of your answers. Assume the upward direction is positive.) m/s2 az = m/s?

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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.