In the laboratory, a student studies a pendulum by graphing the angle that the s

Question

In the laboratory, a student studies a pendulum by graphing the angle that the string makes with the vertical as a function of time t , obtaining the graph shown in the figure (Figure 1) .

Part A

What is the period of the pendulum's motion?

Express your answer in seconds to one decimal place.

Part B

What is the frequency of the pendulum's motion?

Express your answer in hertz to three significant figures.

Part C

What is the angular frequency of the pendulum's motion?

Express your answer in radians per second to three significant figures.

Part D

What is the amplitude of the pendulum's motion?

Express your answer in degrees to one decimal place.

Part E

How long is the pendulum?

Express your answer in meters to three significant figures.

Explanation / Answer

Part A) From the graph, T = 1.6 s

Part B) Frequency, f = 1/T = 1/1.6 = 0.625 Hz

Part C) Angular frequency, = 2/T = 2 / 1.6 = 3.93 rad/s

Part D) Amplitude, A = 6.0 degrees

Part E) Length of pendulum, L = g(T/2)2 = 9.81 * (1.6 / 2)2 = 0.636 m

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.