What is the instantaneous velocity of an object moving uniformly in circles?

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Homework Help Overview

The problem involves determining the instantaneous velocity of an object moving uniformly in circular motion, given a radius of 5 meters and a frequency of 2 Hz.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between frequency and period, with some questioning how frequency translates to velocity in circular motion. There are attempts to relate the given frequency to distance traveled in a circular path.

Discussion Status

Participants are exploring various interpretations of the relationship between frequency, period, and velocity. Some have offered clarifications about the definitions of frequency and period, while others are attempting to calculate velocity based on their understanding.

Contextual Notes

There is a mention of the original poster's context, indicating they are preparing for an admission test without access to an answer sheet. Some participants express a desire for guidance rather than direct answers.

Bechensten
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Homework Statement



An object is moving uniformly in circles with a radius of 5m and a frequency of 2 Hz. What is its instantaneous velocity?

Homework Equations


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The Attempt at a Solution


The problem i am dealing with is the frecuency.
I am not here for an answer or to cheat. I am applying for a admission test and working on some old admission test that comes without a answer sheet. Please help me to understand the way to solve this problem so i can pratice further. Thank you
 
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You should understand that the hertz (Hz) is a unit of frequency equal to one cycle per second.
 
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How does frequency (which is given) relate to period (T)?
 
So if 1hz i 360 degrees (5m) than 2hz is 10m. hz is by second so that means that the velocity is 10m/s, right?
 
Doc Al, i don't know.. I cannot aford a teacher that's why I am using methods like this to learn.. Instead behaving like that give me a chance or a clue like Steamking did..
 
Bechensten said:
So if 1hz i 360 degrees (5m) than 2hz is 10m. hz is by second so that means that the velocity is 10m/s, right?
No. 5 m is the radius of the circle here.
 
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Bechensten said:
Doc Al, i don't know.. I cannot aford a teacher that's why I am using methods like this to learn..
You have Google at your fingertips!
 
Okey i think i got it. O=3.14x10= 31.4m.
1hz: 31,4m
2hz: 1hzx2=31,4x2=62,8m/s ?
 
Bechensten said:
Okey i think i got it. O=3.14x10= 31.4m.
1hz: 31,4m
2hz: 1hzx2=31,4x2=62,8m/s ?
Good!

FYI: Frequency and period are inverses of each other. Frequency is cycles per second; Period is seconds per cycle. So a frequency of 2 Hz, means a period of 1/2 seconds.
 
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Thank you! And thank you for your time and your advice, i will keep that in mind!
The same goes for you too steamking!
 

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