Period of Oscillation for mass on a spring.

Click For Summary
SUMMARY

The period of oscillation for a mass on a spring is calculated using the formula T = 2π√(m/k). In this discussion, a 0.87 kg mass attached to a spring with a spring constant of 37 N/m results in a period of T = 0.9634 seconds. This calculation was verified by multiple participants, confirming its accuracy against a friend's result of T = 0.148 seconds, which appears to be incorrect based on the provided parameters.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with the formula for the period of oscillation
  • Basic knowledge of mass and spring constant
  • Ability to perform square root calculations
NEXT STEPS
  • Review the derivation of the formula T = 2π√(m/k)
  • Explore the effects of varying mass and spring constant on oscillation period
  • Learn about damping in oscillatory systems
  • Investigate real-world applications of simple harmonic motion
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of oscillatory motion.

dragon-kazooie
Messages
16
Reaction score
0
Hi! I would just like someone to verify that I am doing this correctly (and point out what I am doing wrong if I am not). A friend is getting T = 0.148s but I don't have her calculations, but I think I am solving the problem correctly and getting 0.9634s.

1. Homework Statement

A 0.87 kg mass is hung on a spring. When released, it goes into simple harmonic motion. If the spring constant is 37 n/m, what is the period of the oscillation?

Homework Equations


T=2π√ (m/k)

The Attempt at a Solution


T=2π √ (0.87/37)
T=2π × 0.15334
T = 0.9634sThank you in advance!
 
Physics news on Phys.org
I get the same answer as you.
 
kuruman said:
I get the same answer as you.
Thank you!
 

Similar threads

Replies
3
Views
1K
Replies
9
Views
4K
Replies
3
Views
1K
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
5K
Replies
9
Views
2K
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
8
Views
2K
Replies
17
Views
2K