A Grade 11 Waves - Frequency-Movement Problem

  • Thread starter Thread starter incognito301
  • Start date Start date
  • Tags Tags
    Grade 11 Waves
Click For Summary
SUMMARY

The problem involves a 20g mass oscillating with a frequency of 2.0 Hz, moved from its rest position by 20 cm. The solution confirms that in 10 seconds, the mass completes 2 cycles, resulting in a total movement of 2 meters. The calculations utilize the equations for frequency and oscillation, specifically f = N / T and V = WaveLength * f, leading to the conclusion that the mass moves 200 cm over the specified time period.

PREREQUISITES
  • Understanding of basic wave mechanics and oscillation principles
  • Familiarity with the equations of motion for waves
  • Knowledge of frequency, period, and their relationship
  • Ability to perform unit conversions (cm to m)
NEXT STEPS
  • Study the relationship between frequency and period in wave mechanics
  • Learn about the concept of amplitude in oscillatory motion
  • Explore the implications of mass and spring constants in harmonic motion
  • Investigate real-world applications of wave motion in physics
USEFUL FOR

High school physics students, educators teaching wave mechanics, and anyone preparing for exams in oscillatory motion concepts.

incognito301
Messages
4
Reaction score
0
****A Grade 11 Waves --- Frequency-Movement Problem****

A 20g mass is picked up and moved from its rest position 20 cm. The mass has a frequency of 2.0 Hz.

How far does it move in 10s. (Show work)


I have no idea how to solve this. But if it helps I have learned these equations a day before my teacher gave me this Q to hand in tomorrow:

f = N / T
T = t / N
V = WaveLength / T
V = WaveLength * f


What I tried was to solve it like this:

f = N / T ----> 2 = N/10 -----> N = 20

So x = 20 * 10 cm = 200 cm = 2 m

Is it right? please answer ASAP. I have to hand this in tomorrow!
 
Physics news on Phys.org
Yes, your answer is correct. Since the frequency of the mass is 2.0 Hz, it means that it completes 2 complete oscillations or cycles in 10 seconds. Therefore, if it moves 20 cm in one cycle, then it would move 2 m in 10 seconds.
 

Similar threads

Waves and vibrations on a string
  • · Replies 2 ·
Replies
2
Views
2K
Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
  • · Replies 3 ·
Replies
3
Views
1K
Resultant Frequency and Wavelength of Interfering Sound Waves
  • · Replies 5 ·
Replies
5
Views
3K
Frequency of a standing wave based on slope?
  • · Replies 2 ·
Replies
2
Views
3K
Calculating Speed of a Wave | Solving Problem with Period of 0.025s
  • · Replies 8 ·
Replies
8
Views
2K
Wave equation, wavelenght not given
  • · Replies 6 ·
Replies
6
Views
2K
How Does Pressure Vary in an Open Tube?
  • · Replies 1 ·
Replies
1
Views
2K
Kinematic car overtake problem: Don’t know what to do...
  • · Replies 22 ·
Replies
22
Views
4K
Which Frequency is NOT Possible for a Vibrating String?
  • · Replies 5 ·
Replies
5
Views
2K
Beat frequency and length question. (grade 11)
  • · Replies 19 ·
Replies
19
Views
3K