1) A visitor to a lighthouse wishes to determine the height of the tower. The vi
ID: 2011829 • Letter: 1
Question
1) A visitor to a lighthouse wishes to determine the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.81 s.The acceleration of gravity is 9.81 m/s2 . What is the height of the tower?
Answer in units of m.
2) A spring with a spring constant of 1.9 × 102 N/m is attached to a 1.8 kg mass and then set in motion.
What is the period of the mass-spring sys- tem?
Answer in units of s.
What is the frequency of the vibration? Answer in units of Hz.
Explanation / Answer
A spring with a spring constant of 1.9 × 102 N/m is attached to a 1.8 kg mass and then set in motion.What is the period of the mass-spring sys- tem?
Answer in units of s.
What is the frequency of the vibration? Answer in units of Hz. Answer: Spring constant k = 1.9 × 102 N/m mass m = 1.80 kg ---------------------------------------- The time period of spring is T = 2 [m/k] = 2[(1.80 kg)/( 1.9 × 102 N/m)] = 0.612 s The freuency of the vibration is f = 1/T = 1/(0.612 s) = 1.64 Hz Note: Please submit one question per post as per guidelines. Note: Please submit one question per post as per guidelines.
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