25. The angular displacement 0 (in radians) for a simplependulum is given by 0 = 0.14 sint.a. Determine the period of the pendulum.b. How many swings are completed in 1 sec?c. To the nearest degree, what is the maximumdisplacement of the pendulum?d. The length L of a pendulum is related to the period Tby the equation T = 27where g is theacceleration due to gravity. Find the length of thependulum to the nearest foot (g = 32 ft/sec?).

A pendulum which can be considered to be a point mass attached to a string or a rode of negligible…

Answered: 25. The angular displacement 0 (in…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1. A pendulum with mass 2kg, length 2.5m swings with amplitude A = 2cm. After a long time the amplitude decreases to 1 cm due to air drag. How long is the period after the amplitude decrease? 2. What is the period of oscillation of the pendulum before and after the amplitude change?
Using a stopwatch, you measure the period of a grandfather clock. Your results are 0.6, 0.6 and 0.7 sec. c. What is your best estimate of the error? d. What is your percent error? e. What is your fractional error? f. Write down your measurement for the period, and express the error in terms of ±.
O a. 1.2 cm Ob. 0.6 cm Ос. 12 сm O d. 6 cm Clear my choice Which statement is correct? O a. ALL are correct at of O b. The number of complete oscillations made by the body in one second is called as time period of oscillation. estion O c. A pendulum is a suspended weight that swings back and forth in a regular periodic motion. O d. Distance between the mean and an extreme position of a pendulum bob is called the amplitude of oscillation, TOSHIBA F9 CLO F8 F10 F11 F7 40 F12 & 7 9 Y U P : HiJ K SL
An oscillating system completed 15 cycles of motion in 15 seconds.A. What is the frequency of the oscillation? What is the period?
70.The approximation that sin θ = θ is only applicable for small angles because ____________________. The pendulum always swings at small angles. It is easier to analyze the system without the trigonometric function sine. The angle does not affect any quantity for the motion of a pendulum. The difference between the sine value and the radian value is small to the point that we can neglect it.
Pendulum Problems 1. A pendulum has a frequency of 2.0 Hz. What is the period of the pendulum? What is the length of the pendulum? 2. The period of the "second hand" on a clock is 60.0 seconds (duh). What is the frequency of the "second hand" in Hz? What length pendulum would have the same period? 3. A pendulum at a science museum is set up so that it has a length of 2.75 m. What is its period? How long would a second pendulum have to be in order to have a period that is half as much?
10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its equilibrium position. After release, the block makes one complete up-and-down cycle in 2 seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? С. d. Write a function to model the displacement d (in inches) as a function of the time t (in seconds) after release. Assume that a displacement above the equilibrium point is positive. е. Find the displacement of the block and direction of movement at t = 1 sec.
Part A) Find the period of the second hand of a wall clock. Express your answer in seconds to three significant figures. Part B) Find the frequency of the second hand of a wall clock. Express your answer in hertz to three significant figures. Part C) Find the angular frequency of the second hand of a wall clock. Express your answer in radians per second to three significant figures. Part D) Find the period of the minute hand of a wall clock. Express your answer in seconds to three significant figures. Part E) Find the frequency of the minute hand of a wall clock. Express your answer in hertz to three significant figures. Part F) Find the angular frequency of the minute hand of a wall clock. Express your answer in radians per second to three significant figures.
10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.
Question 5 A1.5 kg mass at the end of a long string is moving back and forth as a simple pendulum (on Earth). The string is 4.9 m long. What is the period of the pendulum's motion? Your answer: 2.5 s 3.5 s 4.4 s 11 s
A pendulum is 0.7 meters long, a) What is the frequency of its oscillation (Hz)? b). What is the period (s) of the oscillation.
1. A mass weighing 4 pounds is attached to a spring whose spring constant is 49 lb/ft. Find the equation of motion. (Use g = 32 ft/s² for the acceleration due to gravity. Assume t is measured in seconds.) x(t) = What is the period of simple harmonic motion (in seconds)?

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