Required informationGrandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, thependulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of thependulum's period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk.Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closerto or farther from the axis of rotation at O. Let mp = 0.7 kg and r= 0.1 m.pendulumdiskpendulumdiskadjustmentnutmpTModel the pendulum as a uniform disk of radius rand mass mp at the end of a rod of negligible mass and length L – r, and assume thatthe oscillations of 0 are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period ofthe pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition,how much time would the clock gain or lose in a/an 23 h period if this were done?The period of the pendulum change iss. (Round the final answer to six decimal places.)The clock would (Click to select)min every 23 h.

Given: mp=0.7 kgr=0.1 mL=0.85 mp=0.5 mm To find: Period of the pendulum change

Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, the pendulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of the pendulum's period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk. Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closer to or farther from the axis of rotation at O. Let mp = 0.7 kg and r= 0.1 m. pendulum disk pendulum disk adjustment nut mp Model the pendulum as a uniform disk of radius rand mass mp at the end of a rod of negligible mass and length L - r, and assume that the oscillations of are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period of the pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition, how much time would the clock gain or lose in a/an 23 h period if this were done? The period of the pendulum change is s. (Round the final answer to six decimal places.) The clock would (Click to select) min every 23 h.

Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, the pendulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of the pendulum's period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk. Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closer to or farther from the axis of rotation at O. Let mp = 0.7 kg and r= 0.1 m. pendulum disk pendulum disk adjustment nut mp Model the pendulum as a uniform disk of radius rand mass mp at the end of a rod of negligible mass and length L - r, and assume that the oscillations of are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period of the pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition, how much time would the clock gain or lose in a/an 23 h period if this were done? The period of the pendulum change is s. (Round the final answer to six decimal places.) The clock would (Click to select) min every 23 h.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

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Required information
Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, the
pendulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of the
pendulum's period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk.
Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closer
to or farther from the axis of rotation at O. Let mp = 0.7 kg and r= 0.1 m.
pendulum
disk
pendulum
disk
adjustment
nut
mp
T
Model the pendulum as a uniform disk of radius rand mass mp at the end of a rod of negligible mass and length L – r, and assume that
the oscillations of 0 are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period of
the pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition,
how much time would the clock gain or lose in a/an 23 h period if this were done?
The period of the pendulum change is
s. (Round the final answer to six decimal places.)
The clock would (Click to select)
min every 23 h.

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