Is the Oscillation Period Formula for an Elastic Band the Same as for a Spring?

  • Context: Undergrad 
  • Thread starter Thread starter Tommy1995
  • Start date Start date
  • Tags Tags
    Band Elastic Period
Click For Summary
SUMMARY

The discussion confirms that the formula for the period of oscillation for an elastic band, T=2π(√m/k), is indeed the same as that for a spring, provided that the same assumptions and approximations apply to both systems. Key factors include the mass (m) attached to the elastic band and the spring constant (k) which must be determined under similar conditions. The discussion emphasizes the importance of these assumptions in deriving the formula accurately for both elastic bands and springs.

PREREQUISITES
  • Understanding of oscillation mechanics
  • Familiarity with Hooke's Law
  • Knowledge of mass-spring systems
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the period of oscillation for different elastic materials
  • Explore the differences between ideal and real springs
  • Investigate the effects of damping on oscillation periods
  • Learn about the applications of oscillation formulas in engineering
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the principles of oscillation and elasticity in materials.

Tommy1995
Messages
39
Reaction score
0
Assume that a mass is attached to an elastic band and then allowed to oscillate.

Would the formula for the period of oscillation be that as the same of the formula for the period of the oscillation for a spring.

T=2∏(√m/k) ?
 
Physics news on Phys.org
Only if all the approximations you made concerning the spring when deriving this formula also apply to the elastic band.
 

Similar threads

Undergrad Does Teaching by Numbers Limit Understanding of Elasticity in Rubber Bands?
  • · Replies 12 ·
Replies
12
Views
3K
High School Harmonic oscillator and simple pendulum time period
  • · Replies 36 ·
2
Replies
36
Views
4K
Undergrad How Does Changing Mass and Spring Force Affect Watch Oscillators?
  • · Replies 11 ·
Replies
11
Views
2K
High School How will a spring stretch in the following cases?
  • · Replies 17 ·
Replies
17
Views
2K
Undergrad Elasticity affects the Oscillating period of an item?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Rubber band and a Merry Go Around
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Period of a mass spring system with 2 spring of same K(vert)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Alternative Approach to Solving Foucault's Pendulum Behavior
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Time period of combination of massive springs in parallel
  • · Replies 2 ·
Replies
2
Views
2K
High School Force required to stretch training resistance bands
  • · Replies 12 ·
Replies
12
Views
3K