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
Messages
8
Reaction score
0

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...
 
Physics news on Phys.org
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.
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Back
Top