How Do You Solve Periodic Motion Problems in Physics?

In summary, the correct units for frequency are hertz and for angular frequency are radians/seconds. To design a pendulum with a period of 1 s, the length should be 0.25 m. When the amplitude of a mass oscillating on a spring is doubled, the period remains the same. The period does not depend on amplitude.
  • #1
SoulInNeed
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Please help with periodic motion problems!

1. What are the correct units for frequency? What are the correct units for angular frequency?

2. A grandfather clock keeps time by using a pendulum. If you want to design a pendulum to have a period of 1 s, estimate how long you should make the pendulum.

3.A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true?

The period is 0.5 s.
The period is 1 s.
The period is 2 s.
The period is 2.8s
The period is 4s.

4. Explain your answer to the multiple choice question above.



Homework Equations

T=(2*pi) * The square root of mass/constant force k
T=(2*pi) * Square root of Length/gravity



3. 1. The correct unit for frequency is the hertz, and 1 hertz is equal to 1 cycle per second. The angular frequency is the rate of change of angular quantity that is always measured in radians, and its units are radians/seconds.

2. 1=(2*pi) * The square root of Length divided by gravity
.159=The square root of length divided by gravity
.025=L/g
.25 m=Length

3. The period is 2 s

4. The period does not depend on amplitude.

Thanks!
 
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  • #2


It is correct.

ehild
 

FAQ: How Do You Solve Periodic Motion Problems in Physics?

What is periodic motion?

Periodic motion is a type of motion that repeats itself over a certain period of time. This means that the object will go through the same motion at regular intervals.

What are some examples of periodic motion?

Some examples of periodic motion include the swinging of a pendulum, the rotation of a Ferris wheel, and the bouncing of a spring.

How is the period of a periodic motion calculated?

The period of a periodic motion can be calculated by dividing the total time it takes for one complete cycle by the number of cycles. This is represented by the equation T = t/n, where T is the period, t is the total time, and n is the number of cycles.

What is the relationship between frequency and period in periodic motion?

Frequency and period are inversely related in periodic motion. This means that as the period increases, the frequency decreases, and vice versa. The frequency is calculated by dividing the number of cycles by the total time, represented by the equation f = n/t.

How can I solve periodic motion problems?

To solve periodic motion problems, it is important to first identify the given variables, such as the period, frequency, or amplitude. Then, you can use equations such as T = t/n or f = n/t to calculate the missing values. It is also helpful to draw a diagram or graph to visualize the motion and better understand the problem.

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