Can You Solve This Uniform Circular Motion Task in Physics?

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Homework Help Overview

The discussion revolves around a problem related to Uniform Circular Motion, where the original poster provides specific parameters including radius, period, mass, and an angle, seeking to determine various quantities such as distance, velocity, acceleration, and force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the definitions of radius, period, and mass, and discuss the significance of angular velocity in the context of uniform circular motion. There are inquiries about how to derive the x and y coordinates and their respective velocities and accelerations using trigonometry and calculus.

Discussion Status

Some participants have offered guidance on understanding the concepts involved, including the relationship between angular velocity and the time period, as well as the formulas for centripetal acceleration and force. The discussion appears to be progressing with various interpretations being explored, though no explicit consensus has been reached.

Contextual Notes

There is an indication that the original poster may lack a full understanding of the underlying equations and concepts related to uniform circular motion, which could affect their ability to solve the problem independently.

bini18
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I have a question for you how to slove a task in physic
So this task is about Uniform Circular Motion
r=4 m
T=6 s
m=1.5 kg angle=50 degree

I have to find as a distance
x=? y=?

velocity acceleration force
V=? a=? F
Vx=? ax=? Fx
Vy=? ay=? Fy
 
Physics news on Phys.org
http://www.walter-fendt.de/ph14e/circmotion.htm - animation of uniform circular motion

I know the results but i need to know how that results come
 
A little respect never hurt anybody
 
No need for that language: it's only been an hour and a half.
I'm not going to give you the answers - just point you in a useful direction.

You clearly do not know what those equations mean.

Lets go back to the first post and go through the things you need to know:

r = radius: the distance of the object from the center of the circle
T = period: this is the time it takes the object to go right around the circle.
m = mass of the object

important concepts:
angular velocity: \omega = \frac{d\theta}{dt} ... for uniform circular motion, this is a constant.

That the object goes all around the circle in time T means that it goes through an angle of 2\pi radiens in T seconds so that \omega = \frac{2\pi}{T} radiens per second. At any time t, the angle is \theta(t)=\omega t

Starting to get it?

If you put cartesian axis on your circular path, you can find the x-y coordinates by trigonometry.

You get the x and y velocities by differentiating the equations for x and y wrt time, and similarly for x and y accelerations.

The linear speed that the object goes around the circle though is a constant - it is just distance over time ... and you know that it goes the whole circumference of the circle in one time period.

What's important though is the centripetal acceleration which is a_c = \frac{v^2}{r} The centripetal force is given by this times the mass. This is the force holding the object on to the circle.

You should be able to get the rest from there.
 
So anyway ... you feel better about circular motion now?
 

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