Period Definition and 997 Threads

Homework Statement Compute the semimajor axes "a" of Halley's Comet. Given: orbital eccentricity e = 0.9673 period P =76 days (2.39674E9 seconds) Gravitational Constant G = 6.67428E-11 solar mass M = 1.9891E30 Kg. Also used in equations are: L = angular momentum of center of mass...

Homework Statement On July 19, 1969, Apollo 11's orbit around the moon was adjusted to an avearge orbit of 111km. The radius of the moon is 1785km, and the mass of the moon is 7.3 * 10^22kg. a. How many minutes did Apollo 11 take to orbit the moon? b. At what velocity did it orbit the moon...

Homework Statement the problem asks to find the distance from the sun to a planet. the only information the question gives the the orbital period of 27 years and asks for the answer in km. Homework Equations c= (2)(pi)(r) The Attempt at a Solution assuming the planet revolves...

Hi all, First post here for me. 1. Problem Statement Find the fundamental period of: 3cos(1.3PiN) - 4sin(0.5piN +0.5Pi) 2. Relevant equations: T = 2PI / w 3. My attempt: Not sure how to proceed. By themselves the fundamentals period would be: 3cos(1.3PiN) w = 1.3Pi...

Homework Statement Hi, in class we done the classic pendulum experiment to investigate the relationship between time period and the length of the string. Here are my averages for time period and the length: Length (m)----Average time (T1+T2/2) 0.2 11.3 0.4...

http://img142.imageshack.us/img142/7485/physicsb.jpg Hi, sorry that I only mention a first strategy for solution for the following problem, but I can not think of a better one. For the question you will need to look at the image in the appendix: 1. You will see a frame, consisting of...

OKay so here are two examples: let say 1) f(x) = cos 2x + cos x how do you determine whether this function is periodic? I know I have to find period for each cosine. The first one is pi and second is 2pi. Then what do you do? And eventually, how do you determine the fundamental period...

Homework Statement Find the period of oscillation of a bead on a cycloid string. If it matters, the original equations of the cycloid were x=a(\theta-sin\theta) and y=a(1+cos\theta) Homework Equations This is a small part of a larger problem... I found the equation of motion of a bead on a...

T=2pi√(l/g) Is it in radian*seconds?

Homework Statement Use Kepler's Third Law and a Taylor expansion to derive the following approximation for the orbital period of a satellite in low Earth orbit with a constant height h above the surface of the Earth. h << R_earth : P \approx P_{0}(1+3h/2R_{e}) Homework Equations Kepler's...

Homework Statement A transverse sinusiodal wave on a string has a period T= 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t=0, an element of the string at x=0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. Homework...

A uniform disk of radius 0.2m and 5.6 kg mass has a small hole distance d from the disk's center that can serve as a pivot point. What should be the distance d so that this physical pendulum will have the shortest possible period? What will be the period at this distance? So, I know that the...

Ah, please, someone help me. I've been working on this problem for half an hour, it's the last question on my review before my test, which i want to write right now (correspondence). Homework Statement If a satellite requires 2.5 h to orbit a planet with an orbital radius of 2.6 x 10^5 m...

Homework Statement A particle of mass m moves on the inside surface of a smooth cone whose axis is vertical and whose half-angle is alpha . Find the period of small oscillations about a horizontal circular orbit a distance h above the vertex.Homework Equations Not sure. Lagrangian maybe F = ma...

Homework Statement Consider the pulley to be ideal. If the system disturbed from its equilibrium position by pulling the right hand mass down a slight amount and then released, determine the frequency and period of the oscillation. Radius of pulley is r=2m and I bar of the pulley is 10kg/m2...

Circular path---) finding period Homework Statement A 50-g weight tied to a string is twirled in uniform circular motion. If the circumference of the circular path is 207.3 cm and the weight completes 67.1 revolutions per minute, what is the period of the motion, in seconds? Homework...

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Let the moment of inertia of a pendulum be I and the distance from pivot to the center of gravity of the pendulum, D. Use the conversation of energy principle to show that the period of this pendulum is 2 * pi * sqrt(I / [M*g*D]). My attempt is as follows, I, displace the pendulum by small...

apparently the green pills are placebo pills I was going to start taking them when my period started it hasnt started yet & my friend said it hasn't started yet because I haven't started taking the green pills I've just been taking the pink pills obviously, I don't want to take the placebo...

Two sinusoidal waves, identical except for phase, travel in the same direction along a string and interfere to produce a resultant wave given by y(x,t)=(2.5 mm)sin(26.0x -4.0 s-1 * t+0.400 rad), with x in meters and t in seconds. 1.) What is the wavelength of the two waves (m)? [I...

Homework Statement A cork floats in water. The cork is a cylinder with radius 1 cm and height 3.4 cm. The density of the cork is 0.55 g/cc. Calculate the period of oscillation if the cork is pushed down a little and released. Homework Equations I think I need help with the restoring...

Homework Statement A mass is released from rest atop an incline angled at Θ relative to the horizon, from a certain distance up the incline (Not height), x_0. This point up the incline is denoted P. The mass then travels along a horizontal path of length S. The mass then goes up an incline...

Hey guys. This was a homework problem (I could never figure it out) and I asked my instructor for help as well as researching on the Internet, but still no dice. It seems basic enough but it bothers me that I still don't know how to solve it. Homework Statement Show that the period of the...

Homework Statement A uniform circular disk whose radius R is 40.0 cm is suspended as a physical pendulum from a point on its rim. (a) What is its period of oscillation? (b) At what radial distance r < R is there a point of suspension that gives the same period? R = .40 m g = 9.81...

Homework Statement Find the perturbation approximation of the following in terms of powers of θ0. T=\sqrt{\frac{8L}{g}}\int^{\theta_0}_{0} \frac{d\theta}{\sqrt{cos\theta - cos\theta_0}} It is helpful to first perform the change of variable u = θ/θ0 in the integral Homework Equations...

Homework Statement The slender rod AB of weight W_{AB} is attached to two identical collars, each of weight W. The system lies in a horizontal plane and is in equilibrium in the position shown when the collar A is given a small displacement and released. Calculate and plot the period of...

How do I find the period of this function? g(t) = cos (4t) + sin (t)

Homework Statement A satellite that has a mass of 300 kg moves in a circular orbit 5.00 X 107 m above Earth's surface. (a) What is the gravitational force on the satellite? (b) What is the speed of the satellite? (c) What is the period of the satellite? Homework Equations Fg=...

Homework Statement On each of the apollo missions the command module was placed in a very low aprox circular orbit above the moon. Assum the avrg hieght was 60km above surface of moon and moons radius is 7738km. (Mass of moon=7.34x10^22kg) What was the command modules orbital period...

Homework Statement A mass attached by a light spring to the ceiling of an elevator oscillates vertically while the elevator ascends with constant acceleration. Is the period greater than, less than, or the same as when the elevator is at rest Homework Equations T=2pi * sqrt(m/k) The...

I am working on my lab report for the simple pendulum and we did an experiment where we increased the max theta in increments of 5 degrees, while keeping the length of the sting the same. We started from 5 degrees and went to 45 degrees. For some reason the periods seem to increase slighty as...

Homework Statement A certain double star consists of two identical stars, each of mass 3.0E30 kg, separated by a distance of 2.0E11 m between their centres. How long does it take to complete one cycle? Give your answer in seconds. Homework Equations Gm / 4π^2 = r^3/ T^2 (I'm...

Homework Statement A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true? A The period is 0.5 s. B The period is 1 s. C The period is 2 s. D The...

Homework Statement Consider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 400 km above the Earth's surface; at the high point, or apogee, it is 4000 km above the Earth's surface. 1. What is the period of the spacecraft 's...

A snapshot of a standing transverse wave on a flexible string is taken when the displacement is at a maximum showing two trough's and two peaks(1.5 waves). The string is 1.52 m long with tension 4.00 N. The total mass of the string is 10.81 g. Find the period of the oscillation. I found the...

Homework Statement What is the period of revolution (in minutes) of a satellite orbiting Earth at 161000 m? Homework Equations T^2 = (4*pi*r^3)/(GM) The Attempt at a Solution Well, I plugged in the values, and got T = 5250.925844, but that's not right. T, would come out as seconds...

A transverse wave on a rope is given by y(x, t)= (0.750\; {\rm cm})\, \cos ( \, \pi [(0.400\;{\rm cm}^{ - 1})x+(250\; {\rm s}^{ - 1})t]) Find the period. This should be simple, but I keep getting the wrong answer in Mastering Physics. I can't find any explanation in my book, and it's...

f(x)=sin3x*cos3x i am looking for the period of this function, what i did, and now i see that it is wrong was compared it to zero and looked for any time that sin3x=0 or cos3x=0 this really did give an answer for every time the function reached 0, but did not take into account that...

Lets say i have a magnetic pendulm, (basically a barmagnet suspended from a with a string tabletop) and a conductor at the bottom. The conductor will ofcourse have Foucault currents generated in it, and this due to conservation of energy, will slow down the swinging of the pendulum, reducing...

f(x)=cos2x so what i am looking for is the smallest x that will bring me back to my same answer, correct,,, f(0)=1 now i can see that since we have a sqared function, and cos(pi)=-1, every time i reach pi, 2pi 3pi 4pi... i will have the same answer therefore T=pi is this correct...

Hi everyone Could you give me a way to calculate the period of every trigonometric functions? thanks

Homework Statement assume that the rotation period of saturn at the equator, very deep in the atmosphere is 10 hrs. higher in the atmosphere, the equatorial winds blow west to east at 250 m/s. What would be the rotation period of this higher level in the atmosphere? also know - maximum...

What is the synodic period of Mercury? What is the average synodic period of Mercury? I have combed the internet. Some sources use a number around 115.877484 days and they seem sure of themselves. I don't own astronomy references. Help please

Homework Statement A simple pendulum uses a steel wire as the string. The length of this wire is 1.4 m at room temperature. If the temperature is increased by 11.9 degrees C, the length of the wire increases by 1.69 mm . What is the change in period of the pendulum? Homework Equations...

Homework Statement A doubly charged helium atom whose mass is 6.6 \times 10^{ - 27} {\rm{kg}} is accelerated by a voltage of 2800 V. What will be its radius of curvature if it moves in a plane perpendicular to a uniform 0.370 -T field? What is its period of revolution?Homework Equations F=qvB...

1. Question A system consists of two blocks, each of mass M, connected by a spring of force constant k. The system is initially shoved against a wall so that the spring is compressed a distance D from its original uncompressed length. The floor is frictionless. The system is now released with...

Homework Statement I'm given a chart that states the r average and T in Earth days for the moons of Uranus and I have to find the Kepler's constant for the last four moons, which only gives me either the radius or period.. I am confused. How can I find K with only r or T? I need at least the...

Homework Statement Alpha particles (charge= +2e, mass= 6.68*10-27kg) are acclerated in a cyclotron to a final orbit radius of .30 m. THe magnetic field in the cyclotron is .80 T. The period of circular motion is? Homework Equations f=1/T F=qvbsin\alpha There might be more...

Relevant equations t' = t * sqrt(1 - v^2/c^2), where t' is the proper time interval, and t is the measured time interval in another reference frame. Homework Statement / Q: A spaceship is moving past us at a velocity of v = 3c/5. If, in our frame of reference, we measure a time...

after doing several problems, i keep seeing that when you add the waveform of the fundamental with its higher harmonics, the period of the summed wave is equal to the period of the fundamental wave. Could someone explain conceptually why this happens? that would be much appreciated!