A particle attached to a string of length r=3m, is forced to move in a circle with constant speed. If the particle makes 120 revolutions per minute, 1. What is the period (time to compute one revolution) of the particle in seconds? 2. What is the angular speed of the particle in radians per second? 3. What is the tangential speed (v) of the particle in meters per second? 4. What is the magnitude of the centripetal acceleration of the particle in meters 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 particle attached to a string of length r=3m, is forced to move in a circle with constant speed. If the particle makes 120 revolutions per minute,
1. What is the period (time to compute one revolution) of the particle in seconds?
2. What is the angular speed of the particle in radians per second?
3. What is the tangential speed (v) of the particle in meters per second?
4. What is the magnitude of the centripetal acceleration of the particle in meters per second squared?
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