Period Definition and 997 Threads

Homework Statement 9. A simple pendulum on Earth has a period of 6.0 seconds. What would the period of this pendulum be on Jupiter, if the acceleration of gravity on the surface of Jupiter is 26 m/s2 A. 2.3 sec B. 3.7 sec C. 6.0 sec D. 15.6 sec Homework Equations T=2pi * sqrt...

Homework Statement An Earth station receives data transmitted back in time from a future intergalactic expedition. The table summarizes the data for the moons of a planet that will be discovered in a distant galaxy. Moon 1: only has orbital radius = 5E7 meters Just only this...

Time period of oscillation of a pole floating... Homework Statement A pole is floating in a liquid with 80cm of its length immersed. It is pushed down a certain distance and released. What is its time period of vertical oscillation? The Attempt at a Solution I think the information...

[b]1. A particle of mass m and angular moment L moves in a central force V=(1/2)kr^2 (k>0). Find the period of revolution for the circular movement and the period of small radial oscillations around the stable cicular orbit. Homework Equations The Attempt at a Solution Well I tried...

Homework Statement For the pendulum or spring and mass system at your station measure the period with a stopwatch Homework Equations The Attempt at a Solution So a period of a pendulum is when it returns to its original position after passing equilibrium twice. So I would...

I know the L/T^2 relationship of a simple pendulum gives a constant- g/(2pi)^2. Could anyone please show me how it is derived? Thanks in advance.

Homework Statement 7. Mass m is oscillating on the end of a spring. How much mass must be added in order for the period of oscillation to increase by a factor of two? A.m B.2m C.3m D.4m E.8m Homework Equations f=-kx w= \sqrt{k/m} T = 2\pi\sqrt{m/k} The Attempt at a Solution...

Hello, I am trying to understand the intuition of the definition of the period of a state in a Markov chain. Say for example we can go from state i to state i in either 4 steps or either 18 steps. gcd(4,18)=2, with gcd=greatest common divisor. So the period of state i is equal to 2. I...

The equation for the time period of a mass spring system does not contain gravitational field strength as a variable, implying that the frequency of oscillations is independent of gravity, and that the time period of a mass sping system would be the same on Earth a on the moon, for example...

[b]1. Homework Statement : An artificial satellite revolves about the Earth at height H above the surface. If the radius of the Earth is R, calculate the orbital speed and the orbital period such that a person in the satellite will be weightless. Homework Equations The Attempt at a...

I am looking for ideas on how to make a motor run for a certain period of time, but I do not have much experience in circuits. The design is to have the system start at the push of a button. The design can be mechanical or electrical. As of now I am wondering if there is a device that will...

Hi all, Hope some here can help me with this math problem. Given, y1 = ax^2 + b. y2 = cos (y1). where a and b are constants. Is y2 periodic with respect to x.? Visually using example grpah, seems to be periodic. How do u find the exact period of such a function? Thanks in advance...

Problem: Given a vector of approximated output for an arbitrary periodic function, find the function's period. Example: Let's say we approximate a solution to the ODE dy/dt = cos(t) using a numerical method (for example Euler's method or MATLAB's ode45), we will get a vector...

Homework Statement In the given figure, all the springs and pulley are ideal and surface is frictionless. The rod is massless. The time period of horizontal oscillations of the block is? The Attempt at a Solution I used two different approaches and both give different and wrong...

Homework Statement A body is undergoing S.H.M. of amplitude 4 x 10-2 m and with a maximum speedo f 0.20m s-1. Calculate the period of the oscillation given that the velocity, v, of a body undergoing S.H.M. is ""v= omega sq.rt of A^2 - x ^2"" , where trl is the angular velocity, A is the...

Homework Statement Show that a satellite in low-Earth orbit is approximately P = C(1 + 3h/2R_E) where h is the height of the satellite, C is a constant, and R_E is the radius of the earth) Homework Equations Unsure The Attempt at a Solution I have no idea how to approach this.

Period of a pendulum... Homework Statement A simple pendulum of length l is suspended from the ceiling of a cart which is sliding without friction on an inclined plane of inclination theta. What will be the time period of the pendulum? Homework Equations T=2(pi) root(l/geff) The...

Homework Statement There are three springs A, B and C with equal force constants as k. Springs are placed such as the angle between two consecutive springs is 120 degrees. Calculate the time period of oscillation if the mass is slightly pushed towards C and released.Homework Equations Force...

Homework Statement f(t)= sin(t), so as expected the period goes from 0 to 2pi. But 2pi to 4 pi is function is ZERO, and then starts up again from 4pi to 6pi, then zero from 6pi to 8pi,etc So basically sin(t) that skips every other period. Homework Equations The Attempt at a...

Homework Statement A spring with a spring constant of 1.8 X 102 N/m is attached to a 1.5 kg mass and then set into motion. a. What is the period of the mass-spring system? b. What is the frequency of the vibration? Homework Equations The only one that comes to mind would be Hooke's Law...

Given I know the period of a signal how do I find the frequency Heres what I know Period = 10 years so using T = 1/f where f = frequency would that give me 1/10??

Homework Statement An asteroid is located between Mars and Jupiter. It is thought that a planet once orbited here but was somehow destroyed and broken up into small chunks(perhaps by getting hit by a comet or asteroid). If an asteroid in this belt has an average distance from the sun of 500 *...

Homework Statement Let f(t) = sin(6t) + cos(8t). (a) What is the fundamental period of f(t)? T= 2pi/\omega I know the fund. period of sin is pi/3 and cos is pi/4, and the definition of fundamental period saids that f(t + T ) = f(t) for the smallest T in the function, so would pi/4 be my...

Homework Statement meter stick pivoted at point a from its center and swings as a physical pendulum. At which values of a gives you the shortest period of oscillation...1m, .2m, .3m, .4m. .5m Homework Equations T = 2pi*Sqrt(I/mgh) The Attempt at a Solution the shortest a should...

1. how do i find the period of summation of some function ie: 2^-k or cos(pi k) multiplied by some complex exponential ei7kt ie: f( t ) = \sum 2-kei7kt 2. does anyone know the formula for finding the period of summations of complex exponentials? note this is for fourier 3. would i say that...

1. what's the fund. period of f(t)= sin6t + cos8t? 2. the fund period of the first term is pi/3, the second pi/4 3. do i just add the 2 fundamental periods up to get the whole fund period? also for the Fourier coefficients of this function, should i use euler's to make it into exponentials...

Homework Statement I've been given (or have calculated) the equation for damped SHM of a spring, and have been told to calculate the period... I'm given that: Forced produced by damper: b(dx/dt) where b = 16N/ms k = 344.5N/m m = 2kg Homework Equations I know that T = 2*pi/(W0)...

Homework Statement http://img573.imageshack.us/img573/6932/72101948.png In the diagram above, a block is on a cone rotating above a height of h and is a distance r from the rotating axis. The cone is subjected to gravity, but is resisting due to the static friction on the cone (static...

Homework Statement an object of mass m experiences a force of the form Fx = -kx Fy = -ky Its initial speed is v and at that time it is at (x,y) = (0,0) Find the period of the motion and the farthest distance from equilibrium Homework Equations U = -\int F(r) dr T =...

Homework Statement If a lightwave has a wavelength of 630nm, what is the period and frequency? Homework Equations F=c/v T=1/F The Attempt at a Solution F = 3x10^8/6.3x10^-7 = 4.76Hz T = 1/F = 1/4.76 = 0.21s Am I correct or way off? I converted the wavelength to meters hoping...

Time period of SHM ! ellloO ^.^ Homework Statement <Q>A particle executes SHM under the restoring force provided by a spring. The time period is T . If the spring is divided in 2 equal parts and one part is used to continue the SHM, The time period will <A> remain T <b> become T/2 <c>...

Homework Statement If we were to put a spacecraft into orbit around the Sun at a distance of 0.900 au and then gradually increase the orbital distance closer and closer to 1 au, what would happen to the synodic period of the spacecraft ? Why does this happen?Homework Equations 1/S = 1/P -...

Homework Statement At x = 15.0 cm and t = 2.00 s, the displacement of a traveling wave is 8.66 cm. The amplitude of the wave is 10.0 cm, and its wavelength is 8.00 cm. Assume the smallest positive phase angle. What is its period? Homework Equations y(x,t)=y0sin2pi(x/lambda-t/period)...

Homework Statement Determine whether or not each of the following signals is periodic if signal is periodic determine the fundamental period (note that these are discrete not continuous signals) Show your solutions 1. x(n) = \cos^3(\frac{\pi(n)}{8}) 2. x(n) =...

Homework Statement A bungee jumper leaps from a bridge and undergoes a series of oscillations. Assume g=9.78 m/s^2. If a 58.0 kg bungee jumpers jumps from length of 20.0 m and she jumps from a heigh of 66.0 m above the river, coming to rest a few centimeters above the water surface on the...

I don't have a homework question I just wanted to try and understand the relationship between time and frequency for example when f=2.0 Hz, T=0.5 seconds or when f=0.5 Hz, T=2.0 seconds if I were only give T=2.0 seconds how do I know what f is??

Below is a problem that I am trying to work through in preparation for an upcoming exam. I worked through part A with no problems, but I am struggling with part B. Could someone point me in the right direction? Homework Statement A gob of clay with mass m falls from rest a distance h before...

Homework Statement Estimate the speed of a satellite orbiting Earth at an height of 400km. Also determine the period of the orbit. Homework Equations Centripetal acceleration: F=\frac{mv^2}{r} Newton's Law of Universal gravitation: F=\frac{G(MassEarth)(MassSatellite)}{R^2} G =...

Homework Statement A long uniform rod of mass .6 kg is free to rotate in horizontal plane about a vertical axis through its center. A spring with force constant k = 1850 N/m is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel...

Homework Statement Two springs, each with unstretched length 0.200 m, but with different force constants k1 and k2, are attached to opposite ends of a block with mass m on a level, frictionless surface. The outer ends of the springs are now attached to two pins P1 and P2, 0.100 m from the...

Homework Statement What is the mass of a planet (in kg and in percent of the mass of the sun), if: its period is 3.09 days, the radius of the circular orbit is 6.43E9 m, and the orbital velocity is 151 km/s.Homework Equations I'm unsure what formulas to use, though these seem relevant. F=...

Homework Statement A circular disk of radius R and uniform density is free to pivot about a fixed point P on its circumference. Calculate the period of oscillations of the disk, in the plane of Figure I, when it is displaced by a small angle about its pivot and released. Homework...

Homework Statement Two stars are in a circular visual binary system. The orbital period of the binary is 30 years. The distance to the binary is 20 parsecs. The angular radius of the orbit of each star is 1". What are the masses of the two stars? Homework Equations I am assuming that...

Homework Statement Im confused about what exactly is the period and amplitude of a spring... Is the period -during ocillation-from top to bottom back to top? or vice versa. and is the amplitude 1/4 of the period? Homework Equations The Attempt at a Solution

Homework Statement The question I have a one-dimensional linear spring with spring constant E. The tension is given by σ = Eε, epsilon = strain.. The left side of the spring is held fixed, the right side has a mass m attached to it. We can neglect gravity. What is the natural oscillation...

Why does the period of oscillation for a mass on a spring depend on its mass? (while in other situations, like a simple pendulum, the mass seems to be unimportant)

As 2 time pieces are moving relative to each other in a non accelerated reference frame, they will both see the other as slow. As time goes on, the amount of observed error in the other clock will continue to grow greater and greater. Let's say that after a while both clocks are 10 hours ahead...

Homework Statement I have a linear elastic spring with spring constant E, The spring is mass less, and is held fixed at the left terminal and has a mass m attached on the right terminal. We can neglict gravitational forces. Find the natural oscillation when the tension sigma = E*epsilon...

Suppose I found a time machine and clicked the 'go' button, and landed up sometime in the future. I then meet a bunch of humanoid creatures and manage to communicate with them. I ask them what year it is, but they just tell me it's 1050 after the death of the 'mighty one', indicating that no...

Homework Statement A pulsating star has a period of 3 sec as seen from the rest mass frame of the star. What is the period of the star as measured by an observer traveling 2.4 x 108 m/s with respect to the star? Homework Equations The Attempt at a Solution