A grandfather clock has a pendulum that consists of a thin brass
disk of radius 37 cm and mass 1.6 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length of the rod
(b) If this were a simple pendulum, what would the rod's length
have to be?
[Don't forget to account for the physical size of the disk.]
(c) What would the percent error be in using the equations for a
simple pendulum?
A grandfather clock has a pendulum that consists of a thin brass disk of radius 37...
A grandfather clock has a pendulum that consists of a thin brass disk of radius 27 cm and mass 1.1 kg that is attached to a long, thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk. The pendulum should be designed so that its period is 2 s for small oscillations when the gravitational acceleration is 9.8 m/s2. (a) What should the length...
A grandfather clock has a pendulum that consists of a thin brass disk of radius 40 cm and mass 1.9 kg that is attached to a long, thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk. The pendulum should be designed so that its period is 2 s for small oscillations when the gravitational acceleration is 9.8 m/s2. (a) What should the length...
A grandfather clock has a pendulum that consists of a thin brass disk of radius r = 14.38 cm and mass 0.8261 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If the pendulum is to have a period of 1.592 s for small oscillations at a place where g =...
Please provide an explanation of how you got your answer so I can understand the problem. Chapter 15, Problem 092 A grandfather clock has a pendulum that consists of a thin brass disk of radius r 13.61 cm and mass 1.065 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If...
A grandfather clock is controlled by a swinging brass pendulum that is 1.6 m long at a temperature of 28°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Give your answer to at least four significant figures.) 0.8512X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm
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Christy has a grandfather clock with a pendulum that is 3.930 m long. Christy observes the actual period of the clock, and finds that it is 1.00% faster than that for a simple pendulum that is 3.930 m long. If Christy models the pendulum as two objects, a 3.930-m uniform thin rod and a point mass located 3.930 m from the axis of rotation, what percentage of the total mass of the pendulum is in the uniform thin rod?
A grandfather clock contains a pendulum that swings back and forth due to gravity. Model the pendulum as a one-dimensional rod that is connected to a solid disk. The length of the rod is L, and the radius of the solid disk is R. The mass of each object is . Known: , L, R, g What is the angular acceleration of the swinging pendulum when it is at an angle relative to the vertical, as shown? Let counterclockwise be the positive...
A grandfather clock is constructed so that it has a simple pendulum that swings from one side to the other, a distance of 25.0 mm, in 1.00 s. What is the maximum speed of the pendulum bob? in cm/s