Frequency and Period #2

Practice Problems
Frequency and Period #2

Directions: On this worksheet you will examine properties of a simple pendulum, a vibration graph, and a graph of Period² vs Length.

omit

Question 1 During an experiment, data is collected on the vibrations of a simple pendulum. A graph of Period² vs Length is plotted and forms a linear graph with a slope of 4.13 and a y-axis intercept of 0.06. Use the fact that the numerical value of the slope represents 4π²/g to determine the value of gravity in the lab room.

3.04 m/sec²38.24 m/sec²9.26 m/sec²9.56 m/sec²

omit

Question 2 If the accepted value for gravity at sea level is 9.8 m/sec², what was the percent error for this group's experiment?

2.522%31.384%2.46%7.036%

omit

Question 3 According to the data summarized by the group's regression line in Question #1, determine the frequency of a pendulum that was 72 cm long?

0.330 hz0.0887 hz0.574 hz0.0580 hz

omit

Question 4 How would the period of a 36 cm pendulum compare to the period of the pendulum in Question #3?

It would be the same.It would be greater.It would be smaller.

omit

Question 5 What is meant by the term pendulum bob?

The mass attached to the end of a simple pendulum.It represents the pivot point from which a pendulum vibrates.none of the four other statements listed is a correct answer.It represents the angle from which a pendulum is released.It represents a synonym for a pendulum's frequency.

omit

Question 6 What would be the correct units to measure the slope of the regression line described in Question #1?

m/sec²sec²/mT²/LL/T²

omit

Question 7 What is the frequency of a pendulum whose vibration graph is shown below if its 1st crest occured at t = 5.35 sec and its last crest occured at 52.35 seconds .

5.222 x 10⁰ hz0.170 hz0.172 hz5.875 x 10⁰ hz0.191 hz

omit

Question 8 Using the equation T = 2p SQRT(L/g) what would be the length of the pendulum in Question #7?

8.57 meters6.77 meter5.88 meter2.93 meter