Period Definition and 1000 Threads

Homework Statement The problem is as follows: Let f be a real valued function that is Riemann integrable on [a,b]. Show that \lim_{\lambda \rightarrow \infty} \int_{a}^{b} f(x)\cos(\lambda x)dx = 0 . Homework Equations I am freely able to use the fact that the product of...

Homework Statement Transverse waves on a string have wave speed 8.00 {\rm m/s}, amplitude 0.0700 {\rm m}, and wavelength 0.320 {\rm m}. These waves travel in the x direction, and at t = 0 the x = 0 end of the string is at y = 0 and moving downward. Find the frequency of these waves...

Homework Statement Determine the Fundamental Period and Frequency I got this question wrong on My midterm and I was wondering if you guys could give me some feedback on it x(t) = cos[50(pi)t] + sin[15(pi)t] Homework Equations T(fundamental Period) = 2(pi)/w // w is the frequency...

Homework Statement GPS (Global Positioning System) satellites orbit at an altitude of 2.6×107 . Find the orbital period. Find the orbital speed of such a satellite. Homework Equations I would like to know how to approach this. I don't know where to start w/o other figures. The...

Homework Statement A mass m slides on a frictionless horizontal surface, connected to two springs. If the springs have force constants k1 and k2, show that the simple harmonic sliding motion has period: T = 2pi*sq root(m(k1+k2)/(k1k2) There is a diagram and the springs are connected...

1. Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] 2. Homework Equations "the ring pendulum consists of a thin metal ring that can be suspended from a knife edge. The ring has inner radius Ri and outer radius Ro. A notch is cut...

1. Homework Statement Derive and show that the period for a thick ring would be T=2π√[d/g+(ΔR)^2/4Rg] 2. Homework Equations "the ring pendulum consists of a thin metal ring that can be suspended from a knife edge. The ring has inner radius Ri and outer radius Ro. A notch is cut...

Homework Statement I want to calculate g from the formula for the period of a pendulum. The trouble is the uncertainties. Homework Equations g = \left(\frac{2 \pi}{T_0}\right)^2 L T_0 = \frac{T(\phi_{max})}{1 + \frac{1}{16}\phi_{max}^2} T(\phi_{max}) = 1.99433 \pm 0.00005 \...

Homework Statement I've worked through part (iv) of this problem, but I am not sure if I shown enough calculation. The most important parts of the question, to put it all in context: (i) The gravitational force on a body of mass m at a distance r from the Earth with mass mE. The time it...

Homework Statement The mass of a star is 1.370×1031 kg and it performs one rotation in 38.10 day. Find its new period (in days) if the diameter suddenly shrinks to 0.330 times its present size. Assume a uniform mass distribution before and after. Homework Equations Ii * Wi = If * Wf...

Homework Statement A bucket is rotated in a vertical circle such that the water just does not fall. Radius of the circle is R. Gravitational acceleration: g. Find the Time period of one circular motion. http://img148.imageshack.us/img148/6583/bucket.jpg The Attempt at a Solution I...

Homework Statement i understand how to find the period of a trig equation... (either 2pi/|b| for sin and cos or pi/|b| for tan etc. but i do not understand what information the period tells me.. Homework Equations alright for example.. if my problem is y= 4sin2x The...

Homework Statement A binary star consists of two stars that are orbiting a common centre. The only force acting on the stars is the gravitational force of attraction in a direction along the line joining the stars. a) Explain carefully why the total momentum of the binary is constant...

Homework Statement What is the exact period of the function f(x)= 6 sin (4x+pi) = a sin (b) Homework Equations Period= 2pi/(abs b) The Attempt at a Solution I found the period as 2pi/(4+pi), this is said to be no the...

Qs: How "Group" and "Period" affect semiconductors Background: I have a BS in CompSci, not Physics, so if this question stuns you in its naivete, please forgive me. In the last couple weeks, I have been reading up on PN junctions and how they work. I've also seen the standard Si/Ge (Group IV) +...

I already did the first part, and the equation for the period becomes: T=2\pi(ml/\gammaPA)(1/2) I know 12 litres = 0.012 m3, and the the mass of the ball is the volume of a sphere of radius 0.01m x the density = 0.0318 Kg, for pressure I am not sure whether I am suppose to use 1 atm or 101.3...

Take two rows of respective length m and n: a1, a2, a3,..., am and b1, b2, b3, ..., bn. Then produce as follows the generated array Gai to contain these elements: a1, a1+a2, a1+a2+a3, ..., a1+..+am, a1+..+am+a1, a1+..+am+a1+a2, ... Alike produce the generated array Gbj to contain...

Homework Statement Calculate the Orbital Period for the following: Earth's orbit to the Sun. I get stuck towards the end. I must use Newton's second law and have the Universal Law of Gravitation equal the Centrifugal Force. Newton's gravitational constant: G= 6.67*10^-11 Nm^2/kg^2 Mass of...

Homework Statement "A mass m = 16.0 kg is attached to the lower end of a massless string of length L = 71.0 cm. The upper end of the string is held fixed. Suppose that the mass moves in a circle at constant speed, and that the string makes an angle theta = 25deg with the vertical, as shown...

Homework Statement An electron enters a uniform magnetic field of 0.152 teslas such that the electron follows a circular path. What is the period of the electron's motion? Electrons have a mass of about 9.11 x 10-31 kilograms each. Hint: Since the radius of the electron's path is not given...

Homework Statement A science fiction tale describes an artificail "planet" in the form of a band completely encircling a sun, the inhabitants living on the inside surface (where it is always noon). Imagine the sun is like our own, that the distance to the band is the same as the Earth-Sun...

How is the formula for period of oscillation derived? t=2pisqrt(m/k)

I have to plot the average period squared vs the mass, now my question is which goes to the x-axis and which goes to the y?

Homework Statement A particle of mass 0.5kg is attached to one end of a light elastic string, natural length 1.2m, it has a modulus of elasticity of 29.4N. When at rest it lies 1.4m directly beneath A. The particle is then displaced 1.75m directly below A & released from rest. Find the...

Homework Statement A disk of mass m and radius a is suspended horizontally by a rod bored through the disk at a location d distance from the center. When in equilibrium the center of the disk is directly below the rod. Obtain an approximate expression for the period, ignore disapative...

I am doing a home project for my Physical science concepts class. i need to find the period of a pendulum's swing. the prof. gave us the formula, T=I/f and tells us that T is the period, and f is the frequency of the swing, but doesn't say what I is. Does anyone know?

Homework Statement Hi! This is from Physics for Scientists and Engineers, Vol. 6 by Tipler and Mosca. 44. Kepler's third law relates the period of a planet to its orbital radius r, the constant G in Newton's law of gravitation, and the mass of the Sun Ms . What combination of these factors...

Hello everyone, I'm new here, sorry if I make mistakes. My english is poor. Prove that : T=2\pi \sqrt{\frac{l}{g}} where l is length and g is gravity I hope you understand my question, else: I will try to write it again. Thank you !

Homework Statement A 200 g mass elongates a spring 3 cm from its equilibrium position. Find the spring constant (k) of the spring in N/m. An unknown mass is attached to the same spring and set in motion. If the period of oscillation is 3 seconds, find the value of the unknown mass in...

i am stuck on this question and people are giving me different answers. Ok which period 3 element has the following succesive ionization energies: 1800,3000,3600,5800,13200

Homework Statement Is Time Period = \int \frac{1}{v} dx ?? If yes, the under what limits of integration??

In the book "Fundamentals of Physics" by H D Young and Freedman,there is formula about the time period of simple pendulum which uses sine function in a complex way which i think is obtained by series expansion of sine function either by Maclurin or Tayler series. Can anyone please tell me how...

Homework Statement Consider a light rod of negligible mass and length "L" pivoted on a frictionless horizontal bearing at a point "O." Attached to the end of the rod is a mass "m." Also, a second mass "M" of equal size (i.e., m=M) is attached to the rod (0.2L from the lower end). What is the...

We know that the orbital period of binary stars decay due to the emission of gravity waves that carry away energy from the system. What is the form of the energy loss of the system: kinetic energy or potential energy?

We know that the orbital period of binary stars decay due to the emission of gravity waves that carry away energy from the system. What is the form of the energy loss of the system: kinetic energy or potential energy?

Homework Statement Find the period T for a wave of wavelength (lambda) . Express the period in terms of pi, lambda , and g. Homework Equations T = lambda/velocity, lambda = velocity/frequency T= 1/frequency k (wave number) = 2pi/lambda V = Squareroot of (g/k) The Attempt at a...

Traveling Waves Homework Statement If the period of the oscillator doubles, what happens to the wavelength and wave speed? The wavelength is halved but the wave speed is unchanged. The wavelength is unchanged but the wave speed doubles. The wavelength doubles but the wave speed is...

Homework Statement The questions are about binary star system. Homework Equations Why the two stars in a binary star system are always diametrically opposite positions? Why the two stars have common period? Why the inner star is more massive? The Attempt at a Solution For the...

Homework Statement A visitor to a lighthouse wishes to determine the height of the tower. She ties a spool of thread to a small rock to make a simple pendulum, which she hangs down the center of a spiral staircase of the tower. The period of oscillation is 10.4 s. The acceleration of gravity...

Homework Statement A neutron star has a radius of 10,000 km, and takes a planet 30 days to complete one revolution around the star. When the star collapses, the new radius is 3 km. Find the new period of revolution of the newly formed neutron star. Homework Equations T=2(pi)/omega omega...

A uniform meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 5 s. The meter stick is then sawed off to a length of 0.76 m, rebalanced at its center, and set into oscillation. what is its new period I= 1/12 mL^2 equation: T= 2 pi * sqrt (I/k) where...

Homework Statement Is it possible to figure out the orbital period of an object with only the orbital radius given? --- It seems to be with the equations given too little information Homework Equations The Attempt at a Solution

Homework Statement Given circuit consists of two resistors ( R1 = 330 Ohm , R2 = 22K Ohm ) , an LED ( Forward voltage = 1.6V, forward current = 20 mA) , a BC 337 NPN transistor and a 9V battery supply. I need to find the total power consumed by the circuit for a run time of continuous 1...

Homework Statement Find the speed of an Earth satellite whose orbit is 400km above the Earth's surface. What is the period of the orbit. Homework Equations The first part was pretty easy. I used v=[(Gm)/r]^(1/2) to get the answer. The Attempt at a Solution For the first part, I...

My question is regarding when the the CMB was created. I understand that it is predicted to have been "when the universe cooled to about 3,000K". However, might it have been possible that different areas of the universe reached that temperature and decoupled a little earlier than others? This...

Is it possible to find out how much the universe grew by during the period of inflation after the big bang?

Homework Statement Derive the period of a sphere oscillating in a hemispherical concave surface at small angles. Homework Equations Net Torque = I x alpha Delta E_m = 0 The Attempt at a Solution The thing is, tried using the conservation of mechanical energy to get an expression...

Homework Statement You drill a hole at the end of a solid thin rod of length 1.3 m, and then attach the rod through this hole onto an approximately frictionless pivot. You then release the rod from rest at a reasonably small angle from vertical, so that it executes simple harmonic motion...

I did a lab on pendulums and I need to answer the following: Examine the experimental evidence in regards to each of the properties of the pendulum, mass, horizontal displacement and length. Predict the equation for the period of a pendulum and calculate it based on your observations. The...

Homework Statement Consider a planet with uniform mass density p. If the planet rotates too fast, it will fly apart. Show that the minimum period of rotation is given by T^2 = 3(pie)/Gp Homework Equations F = ma = Gm1m2/R^2 (Equation 1) a = v^2/R (Equation 2) v= 2(pie)R/T...