Physics Lab / Equation manipulation

Click For Summary
SUMMARY

The discussion focuses on the manipulation of the equation T^2 = (4 pi^2 m)/k * d^2 + (4 pi^2 I)/k in the context of a physics lab titled "Oscillation of a metre rule." Participants clarify that the variable 'm' represents both the mass of the object and the slope of the graph plotted for T^2 vs d^2. To find the constants k and I, it is essential to accurately measure the mass and use the gradient from the graph. This dual role of 'm' is critical for solving the equation effectively.

PREREQUISITES
  • Understanding of basic physics concepts related to oscillation.
  • Familiarity with graphing and interpreting linear equations.
  • Knowledge of constants in physical equations, specifically k and I.
  • Ability to measure mass accurately in a laboratory setting.
NEXT STEPS
  • Research methods for accurately measuring mass in physics experiments.
  • Learn about linear regression techniques to determine the slope (gradient) from experimental data.
  • Study the significance of constants in oscillation equations, particularly in the context of harmonic motion.
  • Explore the implications of graphing T^2 vs d^2 in experimental physics.
USEFUL FOR

Students and educators in physics, laboratory technicians, and anyone involved in experimental design and analysis of oscillatory motion.

Greg3Dot
Messages
2
Reaction score
0
1. T^2 = (4 pi^2 m)/k * d^2 + (4 pi^2 I)/k
y = m * x + c
Information
(4 pi^2 m)/k = m (gradient)
(4 pi^2 I)/k = c (the y intercept )
A graph of T^2 vs d^2 was plotted.
(^2) means squared
Find constants k and I
How is this done since the m in the formula is unknown ?
"Oscillation of a metre rule" is the the tiltle of the lab
 
Physics news on Phys.org
Greg3Dot said:
1. T^2 = (4 pi^2 m)/k * d^2 + (4 pi^2 I)/k
y = m * x + c
Information
(4 pi^2 m)/k = m (gradient)
(4 pi^2 I)/k = c (the y intercept )
A graph of T^2 vs d^2 was plotted.
(^2) means squared
Find constants k and I
How is this done since the m in the formula is unknown ?
"Oscillation of a metre rule" is the the title of the lab
It looks like you have 'm' serving two different roles.

The 'm' I highlighted in red above appears to be the mass of something. Presumably you measured it.

The other m, should be the slope (gradient) of the data you graphed, which hopefully fell along some line. This m together with c, should allow you to determine I and k, but you will need to know m .
 
  • Like
Likes   Reactions: Greg3Dot
SammyS said:
It looks like you have 'm' serving two different roles.

The 'm' I highlighted in red above appears to be the mass of something. Presumably you measured it.

The other m, should be the slope (gradient) of the data you graphed, which hopefully fell along some line. This m together with c, should allow you to determine I and k, but you will need to know m .[/Q
Thanks a lot , there was a mass that was measured.
 

Similar threads

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