Whirling around a mass to find max force of tension

In summary, we have an object of mass 3.0kg moving with a constant velocity of 6.0m/s in a vertical circle of radius 1.3m. Using the equations Fc=mv^2/r and F=ma, we can determine that the maximum tension in the string is 113N and the minimum tension is 53.7N.
  • #1
totallyclone
54
0

Homework Statement


An object of mass 3.0kg is whirled around in a vertical circle of radius 1.3m with a constant velocity of 6.0m/s. Calculate the maximum and minimum tension in the string.

mass=3.0kg
v=6.0m/s
radius=1.3m


Homework Equations


Fc=mv2/r
Fun=ma


The Attempt at a Solution


Here is my fbd where I show the mass when it is at the highest point and the lowest point.
tumblr_mk8o9cUBvL1qe908uo1_500.jpg


When it reaches top:
ƩFy=mac
Fc-Fg-Ft=0
Fc-Fg=Ft
(mv2/r)-mg=Ft
Ft=53.7N ∴minimum tension

When it reaches bottom:
ƩFy=mac
Ft-Fg-Fc=0
Ft=Fg+Fc
Ft=mg+(mv2/r)
Ft=113N ∴maximum tension
 
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  • #2
Good! (I didn't check the math. The formulas are right).
 
  • #3
rude man said:
Good! (I didn't check the math. The formulas are right).


Awesome! Good to hear! :blushing: Once again, thanks for taking your time to look it over for any errors heh
 

1. What is "whirling around a mass" and why is it important in finding the maximum force of tension?

"Whirling around a mass" refers to the circular motion of an object around a fixed point, which is often used in experiments to find the maximum force of tension. This is important because it allows us to study the relationship between the speed of the object and the tension force acting on it.

2. How do you set up an experiment to find the maximum force of tension?

An experiment to find the maximum force of tension involves attaching a mass to a string and whirling it around a fixed point. The string should be long enough to allow for a full circular motion without hitting any obstacles. The mass should also be heavy enough to experience a significant amount of tension force.

3. What factors affect the maximum force of tension in a whirling experiment?

The maximum force of tension in a whirling experiment is affected by the speed of the object, the mass of the object, and the length of the string. These factors can be manipulated to observe their effects on the tension force and understand the relationship between them.

4. How does the maximum force of tension change with increasing speed?

The maximum force of tension increases with increasing speed of the object in a whirling experiment. This is because as the speed increases, the centripetal force required to keep the object in circular motion also increases, leading to a higher tension force in the string.

5. What are the practical applications of understanding the maximum force of tension in a whirling experiment?

Understanding the maximum force of tension can help in designing safe and efficient structures, such as bridges and roller coasters, which experience significant tension forces. It is also useful in understanding the motion of objects in circular orbits, such as planets around the sun, and satellites around the Earth.

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