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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 kT=(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!!!