Why did I get the wrong answer?

  • Thread starter Thread starter dukkie
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on a physics problem involving a mass-spring system where a 0.27 kg mass stretches a spring by 4.9 cm and is then pulled down an additional 12.5 cm. The user calculated the spring constant (k=54.06 N/m) and angular velocity (14.15 s^-1) but initially obtained an incorrect displacement of -12.43 cm after 0.42 seconds. The correct displacement is -11.78 cm, which was achieved by ensuring the calculator was set to radian mode instead of degrees.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of angular velocity and its calculation
  • Familiarity with trigonometric functions in physics
  • Proficiency in using scientific calculators, including mode settings
NEXT STEPS
  • Review the principles of Hooke's Law and its applications in mass-spring systems
  • Learn about angular frequency and its role in oscillatory motion
  • Study the differences between radian and degree measurements in trigonometry
  • Practice solving oscillation problems using the displacement equation x(t) = A cos(ωt)
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to clarify common misconceptions about angular measurements in calculations.

dukkie
Messages
15
Reaction score
0
Here is what I was given in the problem:

A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. It is then pulled downward an addtional distance of 12.5 cm and released. Find the displacement from the equilibrium position of the mass (in cm) after 0.42 sec. Count up as positive and g=9.81m/s^2.


I figured out the spring constant (k=54.06 N/m) and the angular velocity (14.15 s^-1). I then entered the two values I had just found into the displacement equation [x at(t=0.42 s)=A cos (wt)] and got (-12.43 cm). That was wrong. The answer is (-11.78 cm). What did I do wrong? I tried the equation several different ways and got the same answer every time and it was the wrong one.

Thanks so much for taking the time to help me.:smile:
 
Physics news on Phys.org
Are you using Radian mode when calculating your answer?
I can find the correct answer by using radian mode.
 
thanks. that was my problem. my calculator was set on degrees instead of radians.:blushing: ooops!
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
6
Views
3K
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 24 ·
Replies
24
Views
6K