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 degree-theta)

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

Explanation / Answer

a) period = 2s b) freq = 1/T = 1/2 = 0.5 Hz c) angular freq = 2 pi / T = pi = 3.14 rad /sec d) amplitude = 6 degree e) T = 2 pi sqrt l/g l/g = .994 m = 99.4 cm

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