Uniform Circular Motion for particle of mass

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Homework Help Overview

The problem involves a particle of mass moving in uniform circular motion, specifically asking for the velocity, acceleration, total force, and the component of the total force in the direction of its velocity as a function of the angle.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the representation of velocity and its direction, questioning the use of negative values for indicating direction. There is also a suggestion to express velocity in terms of angular velocity and to clarify the distinction between linear and angular velocity.

Discussion Status

Some participants have provided feedback on the original poster's attempts, confirming certain values while emphasizing the need for clarity in direction. There is an ongoing exploration of how to express the velocity and acceleration correctly in relation to the angle.

Contextual Notes

Participants are navigating conventions for expressing direction in circular motion and the expectations for the problem's requirements, including the potential need for additional information on angular representations.

White_Light
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Homework Statement



A particle of mass m=1kg moves counterclockwise in a horizontal circle of radius r=1m with uniform speed of 1 m/s. Determine the velocity, acceleration, total force and the component of the the total force on the particle in direction of its velocity as a function of the angle.

Homework Equations



a = v*v / r
F=ma

The Attempt at a Solution



Velocity = - 1 m/s
(negative sign is to indicate the direction of the particle moving counterclockwise)

Acceleration, a = 1

Total force,F = 1N

Is there anyone can help me to confirm my answer? Especially the velocity...
 
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Velocity, acceleration, and force are all vectors. You must specify their direction as a function of angle. (I would use unit vectors and some trig functions.)
 
White_Light said:

The Attempt at a Solution



Velocity = - 1 m/s
(negative sign is to indicate the direction of the particle moving counterclockwise)

Acceleration, a = 1

Total force,F = 1N

Is there anyone can help me to confirm my answer? Especially the velocity...

I'm not familiar with using negative values to express the counterclockwise direction, is that a convention your professor said to use? It may be that just saying "1 m/s, counterclockwise" could be sufficient.

Your values for a and F are correct, but you are probably expected to indicate their direction as well.

EDIT: ahh, Doc Al responded faster than I.
 
Thanks for the comments! I will try again ^.^
 
Shouldn't you express the velocity in terms of rad/s since the last part say express as a function of the angle? If that is the case then acceleration would have to change too?
 
They are asking about linear velocity (the tangential velocity) not angular velocity.
 

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