In the laboratory, a student studies a pendulum by graphing the angle degree tha

Question

In the laboratory, a student studies a pendulum by graphing the angle degree that the string makes with the vertical as a function of time t, obtaining the graph shown in the figure

a. What is the period of the pendulum's motion? (units in seconds)

b. What is the frequency of the pendulum's motion? (units in Hz)

c. What is the angular frequency of the pendulum's motion? (units in rad/s)

d. What is the amplitude of the pendulum's motion? (units in degreen-theta)

e. How long is the pendulum? (units in m)

f. Is it possible to determine the mass of the bob? yes or no

Explanation / Answer

a. Period is the time between the same value of the periodic function. so if we look when the angle is 6, that happens at t=0 and next at t=1.5 so the period is the difference

T=1.5 seconds

b. Frequency is the inverse of the period

f=1/T=1/1.5
f=.667 Hz

c.

=2f

=2(.667)

=/3= 1.047 rad/s

d.the amplitude is the highest value of the graph

A=6 degrees

e. the equation for the period is

T=2(L/g)

1.5=2(L/9.8)

L=.559 m

f. it is not possible, because we only have information about the period and frequency. The mass is independent of these values.

hope that helps

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