Simple Harmonic Motion - Speed

Click For Summary
SUMMARY

The discussion focuses on calculating the speed of a block in Simple Harmonic Motion (SHM) as it passes through the equilibrium position. The relevant parameters include a spring constant (k) of 45.08248265 N/m, a mass (m) of 0.505 kg, and a period (T) of 0.665 seconds. The angular velocity (w) is calculated as 9.45 rad/s, but it is clarified that w is not a speed but an angular velocity. The participant ultimately resolves the issue by utilizing kinetic energy from a previous question to find the speed.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of angular velocity and its units
  • Familiarity with kinetic energy equations
  • Basic skills in algebra for solving equations
NEXT STEPS
  • Learn how to derive speed from kinetic energy in SHM scenarios
  • Study the relationship between angular velocity and linear speed in oscillatory motion
  • Explore the equations of motion for Simple Harmonic Motion
  • Investigate the implications of insufficient data in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of problem-solving in SHM.

Jess_18033152
Messages
32
Reaction score
0

Homework Statement


Calculate the speed of the block in SHM as it moves through equilibrium position.

k= 45.08248265 N/m
m of block = 0.505kg
T = 0.665s

Homework Equations


w= the square root of (k/m) ?

The Attempt at a Solution


w = the square root of (45.08248265/0.505)
= 9.448398958
= 9.45 (what units for SHM?) (3sf)

Is this the equation I use? And what are the units for speed when in SHM?
 
Physics news on Phys.org
The quantity w is not a speed, it is an angular velocity. You should be able to deduce its units from how it is constructed.

Also, the problem does not contain sufficient information to give you the requested information.
 
Orodruin said:
The quantity w is not a speed, it is an angular velocity. You should be able to deduce its units from how it is constructed.

Also, the problem does not contain sufficient information to give you the requested information.
What equation would you suggest I use then?
 
Jess_18033152 said:
What equation would you suggest I use then?
For what?
 
Orodruin said:
For what?
To calculate speed for an object in SHM as it moves through equilibrium position, given m of object= 0.505kg, k= 45.08248265, T (period) = 0.665s ?
 
As I already said, you cannot.
 
Orodruin said:
As I already said, you cannot.

Sorry, worked out how to do it now, it required me using the kinetic energy I had worked out in the previous question. Thank you though :)
 
Jess_18033152 said:
Sorry, worked out how to do it now, it required me using the kinetic energy I had worked out in the previous question. Thank you though :)
So, for the future, please give the full problem statement as required by the homework guidelines. You cannot expect us to guess information that you are not giving us.
 

Similar threads

  • · Replies 51 ·
2
Replies
51
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
16
Views
2K
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
11
Views
1K