A 4.00-kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 10.0-kg cylindrical pulley shown in the figure below (Figure 1). The inner diameter of the pulley is 60.0 cm, while the outer diameter is 1.00 m. The system is released from rest, and there is no friction at the axle of the pulley. 1)Find the acceleration of the stone. Express your answer in meters per second squared. 2)Find the tension in the wire. Express your answer in newtons. 3)Find the angular acceleration of the pulley. Express your answer in radians per second squared.
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 4.00-kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 10.0-kg cylindrical pulley shown in the figure below (Figure 1). The inner diameter of the pulley is 60.0 cm, while the outer diameter is 1.00 m. The system is released from rest, and there is no friction at the axle of the pulley.
1)Find the acceleration of the stone.
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