Uniform Circular Motion for particle of mass

AI Thread Summary
A particle of mass 1 kg moves counterclockwise in a horizontal circle with a radius of 1 m at a uniform speed of 1 m/s. The calculated velocity is -1 m/s, indicating direction, while acceleration is 1 m/s² and total force is 1 N. There is a discussion about the appropriateness of using negative values for direction, with suggestions to specify direction explicitly. The need to express velocity and acceleration as functions of angle is emphasized, indicating a potential misunderstanding of linear versus angular velocity. Clarification on these vector quantities is sought to ensure accurate representation of the motion.
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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