Calculating String Tension in Rotational Motion: m, r, v0, g

In summary, the conversation discusses the concept of an object of mass "m" being whirled in a horizontal circle at increasing speed. The question at hand is to determine the tension in the string just before it breaks, using the terms m, r (radius of circle), v0 (initial speed), and g (acceleration due to gravity). The solution involves considering the centripetal force and the tension, and determining when the string breaks. It is advised to work through the problem and provide progress made before seeking further assistance.
  • #1
eyehategod
82
0
An object of mass "m" is whirled with increasing speed in a horizontal circle. if the string breaks with v0 determine the tension in the string just before the string breaks using the terms m,r(radius of circle), v0, and g.
 
Physics news on Phys.org
  • #2
This really belongs in the homework section. Also, you have to try to work it out yourself and tell us where you're having trouble. Show us what you've done so far.
 
  • #3
f=mv^2/r awwww coeme onnn! You know this!
 
  • #4
the answer is: T=[(Mg)^2 +((M(v)^2)/R)^2]^(1/2) but i can't get it
 
  • #5
first think about why does the string breake?
then try to answer when does the string breake
then,
think about the centripetal force and the tension just before the string breaks
try to do something with these two
 

FAQ: Calculating String Tension in Rotational Motion: m, r, v0, g

How do I calculate string tension in rotational motion?

To calculate string tension in rotational motion, you will need to use the formula T = (m * v02) / r + (m * g * r). This formula takes into account the mass of the object (m), the initial velocity (v0), the radius of the circular motion (r), and the acceleration due to gravity (g).

What units should I use when calculating string tension?

The units of mass, velocity, and radius should be consistent with each other. For example, if you use kilograms for mass, then you should use meters per second for velocity and meters for radius. The units of acceleration due to gravity are typically meters per second squared.

How does the mass of the object affect string tension?

The mass of the object has a direct effect on string tension. As the mass increases, the string tension will also increase. This is because a heavier object will require more force to maintain the circular motion and keep the string taut.

Can I calculate string tension without knowing the initial velocity?

No, the initial velocity (v0) is a crucial component in the formula for calculating string tension. Without this value, you will not be able to accurately determine the tension in the string.

How does the radius of the circular motion affect string tension?

The radius of the circular motion also has a direct effect on string tension. As the radius increases, the string tension will decrease. This is because a larger radius requires less force to maintain the circular motion compared to a smaller radius.

Similar threads

Another Doubt From Halliday Resnick Krane -- Puck on a string in circular motion
Replies
2
Views
1K
Tension of string acting on stone moving in horizontal circular motion
Replies
19
Views
2K
Tension in a string which connects 3 pulleys
Replies
12
Views
600
Two masses on a rotating platform
Replies
3
Views
1K
Circular motion, string and ball in a horizontal circle
Replies
9
Views
3K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
1K
Centripetal motion, the tension at the bottom of a circle
Replies
7
Views
4K
Radial Acceleration on a string
Replies
4
Views
2K
Determine the speed and tension of keys swinging in a circular path
Replies
8
Views
1K
Tension in a string in circular motion
Replies
15
Views
5K

Hot Threads

Recent Insights

Back
Top