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

In summary, the conversation discusses the concept of frequency and how it relates to an object moving uniformly in circles with a given radius. The correct formula for calculating the instantaneous velocity is also determined through discussion and clarification. The conversation ends with a helpful tip about the relationship between frequency and period.
  • #1
Bechensten
6
0

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


d761ac0fcd79ea569b77177a1503777f.png

[/B]

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
 
Physics news on Phys.org
  • #2
You should understand that the hertz (Hz) is a unit of frequency equal to one cycle per second.
 
  • Like
Likes Bechensten
  • #3
How does frequency (which is given) relate to period (T)?
 
  • #4
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?
 
  • #5
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..
 
  • #6
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.
 
  • Like
Likes Bechensten
  • #7
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!
 
  • #8
Okey i think i got it. O=3.14x10= 31.4m.
1hz: 31,4m
2hz: 1hzx2=31,4x2=62,8m/s ?
 
  • #9
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.
 
  • #10
Thank you! And thank you for your time and your advice, i will keep that in mind!
The same goes for you too steamking!
 

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

What is uniform circular motion?

Uniform circular motion is a type of motion in which an object moves in a circular path at a constant speed. This means that the object covers equal distances in equal time intervals and experiences a uniform or constant centripetal acceleration towards the center of the circle.

What is the centripetal force in uniform circular motion?

The centripetal force in uniform circular motion is the force that acts on an object towards the center of the circle, keeping it in its circular path. This force is necessary to counteract the natural tendency of an object to continue moving in a straight line.

What are the key equations for uniform circular motion?

The key equations for uniform circular motion are the centripetal force equation (F=ma), the centripetal acceleration equation (a=v²/r), and the tangential velocity equation (v=ωr), where m is the mass of the object, a is the centripetal acceleration, v is the tangential velocity, r is the radius of the circle, and ω is the angular velocity.

What is the difference between uniform circular motion and simple harmonic motion?

Uniform circular motion and simple harmonic motion are both periodic motions, but they differ in the type of path followed by the object. In uniform circular motion, the object moves in a circular path at a constant speed, while in simple harmonic motion, the object moves back and forth along a straight line, with its acceleration directly proportional to its displacement from the equilibrium point.

What are some examples of uniform circular motion?

Some examples of uniform circular motion include the motion of a satellite around the Earth, the motion of a car around a circular track, and the motion of a spinning top. It is also observed in the motion of objects in centrifuges and amusement park rides like the Ferris wheel.

Similar threads

Acceleration in uniform circular motion is uniform or non-uniform?
2
Replies
55
Views
2K
Relation between the velocity vector and the acceleration vector of an object
Replies
1
Views
248
A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
2K
Uniform Circular Motion - distance
Replies
2
Views
1K
Tension of string acting on stone moving in horizontal circular motion
Replies
19
Views
2K
How does radius affect frequency in uniform circular motion?
Replies
17
Views
8K
Is Vertical Circular Motion Ever Uniform?
Replies
10
Views
2K
Find the acceleration in circular motion
Replies
6
Views
1K
Projectile and Uniform Circular Motion
Replies
3
Views
2K
Uniform Circular Motion Inside a Sphere of Charge
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top