A particle is in uniform circular motion about the origin of an xy coordinate system, moving clockwise with a period of 8.80 s. At one instant, its position vector (from the origin) is 7 = (2.90 m )i – (4.10 m )j. At that instant, what is its velocity in unit-vector notation?

A particle is in uniform circular motion about the origin of an xy coordinate system, moving clockwise with a period of 8.80 s. At one instant, its position vector (from the origin) is 7 = (2.90 m )i – (4.10 m )j. At that instant, what is its velocity in unit-vector notation?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...

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Concept explainers

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.

Question

A particle is in uniform circular motion about the origin of an xy coordinate system, moving clockwise with a period of 8.80 s. At one
instant, its position vector (from the origin) is 7 = (2.90 m )i – (4.10 m )j. At that instant, what is its velocity in unit-vector
notation?

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