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

AI Thread Summary
An object moving uniformly in circles with a radius of 5m and a frequency of 2 Hz has an instantaneous velocity that can be calculated using the relationship between frequency and circular motion. The frequency of 2 Hz indicates that the object completes two cycles per second, which corresponds to a period of 0.5 seconds. The circumference of the circle is approximately 31.4 meters, leading to a velocity of 62.8 m/s when multiplied by the frequency. Understanding the relationship between frequency and period is crucial in solving such problems. This discussion highlights the importance of grasping these concepts for effective problem-solving in circular motion.
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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