A simple pendulum consists of a weight connected to the end of a string, which has negligible mass. The pendulum is held at an angle of θ = 23.0 degrees from the vertical, and then at t = 0 it is released from rest. As the pendulum swings back and forth, it loses energy due to air resistance. The graph below shows the angle of pendulum (θ) plotted vs. time (t). (a) What is the period of pendulum, in seconds? (b) Calculate the damping coefficient (γ, in units of s−1). (c) At what time (in seconds) does amplitude of the motion fall to 2.50 degrees?
A simple pendulum consists of a weight connected to the end of a string, which has negligible mass. The pendulum is held at an angle of θ = 23.0 degrees from the vertical, and then at t = 0 it is released from rest. As the pendulum swings back and forth, it loses energy due to air resistance. The graph below shows the angle of pendulum (θ) plotted vs. time (t). (a) What is the period of pendulum, in seconds? (b) Calculate the damping coefficient (γ, in units of s−1). (c) At what time (in seconds) does amplitude of the motion fall to 2.50 degrees?
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A simple pendulum consists of a weight connected to the end of a string, which has negligible mass. The pendulum is held at an angle of θ = 23.0 degrees from the vertical, and then at t = 0 it is released from rest. As the pendulum swings back and forth, it loses energy due to air resistance. The graph below shows the angle of pendulum (θ) plotted vs. time (t).
(a) What is the period of pendulum, in seconds?
(b) Calculate the damping coefficient (γ, in units of s−1).
(c) At what time (in seconds) does amplitude of the motion fall to 2.50 degrees?
(d) What is the length of the pendulum (L, in centimeters)? Assume that the pendulum is on Earth, where g = 9.80 m/s2.
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