Whirling around a mass to find max force of tension

Click For Summary
SUMMARY

The discussion focuses on calculating the maximum and minimum tension in a string when a 3.0 kg mass is whirled in a vertical circle with a radius of 1.3 m at a constant velocity of 6.0 m/s. The minimum tension at the highest point is calculated to be 53.7 N, while the maximum tension at the lowest point is 113 N. The calculations utilize the centripetal force formula Fc = mv²/r and the net force equations for both the highest and lowest points of the circular motion.

PREREQUISITES
  • Understanding of centripetal force (Fc = mv²/r)
  • Knowledge of gravitational force (Fg = mg)
  • Familiarity with free body diagrams (FBD)
  • Basic algebra for solving equations
NEXT STEPS
  • Study the effects of varying mass and radius on tension in circular motion
  • Learn about angular velocity and its relationship to centripetal force
  • Explore the concept of non-uniform circular motion and its implications on tension
  • Investigate real-world applications of circular motion in engineering and physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of tension calculations in vertical circular motion.

totallyclone
Messages
54
Reaction score
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
 
Physics news on Phys.org
Good! (I didn't check the math. The formulas are right).
 
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
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
1K
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
27
Views
4K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K