Period Definition and 1000 Threads

Homework Statement A massless spring of spring constant k = 74 N/m is hanging from the ceiling. a 490 g mass is hooked onto the unstretched spring and allowed to drop. A) Find the amplitude B) Find the period of the resulting motion Homework Equations f = 1/T F=-kx x(t) = Acos...

Out of ideas, and frustrated! Homework Statement A ball dropped from a height of 4.00 m makes an elastic collision with the grond. Assume that no mechanical energy is lost due to air resistance. Determine the period of the motion Homework Equations I know the period (T) = the time...

What is the fundamental period of cot inverse x? The book, “TRIGONOMETRY “by S.L.Loney says it is –pi/2 to +pi/2 whereas IIT MATHEMATICS by M.L.Khanna says that is 0 to pi

Period of trig functions! This is a rather easy-silly quiestion but i just don't know how to show it. I know how to find the period of trig functions of the form f(x)=Asin(wx+c) etc. i mean i know how to show that the period of this is \frac{2\pi}{w}. However, how would one find the...

[SOLVED] Simple Harmonic Oscillator Homework Statement The equation of motion of a simple harmonic oscillator is (second derivative of x wrt t) d2x/dt2 = -9x, where x is displacement and t is time. The period of oscillation is? Homework Equations 2 pi f = omega f = 1/T...

What is the period of this motion: a mass M hanging vertically from a spring, of spring constant k, under the influence of gravity. I figured: Mg-ky=Ma=Mw^2y (w being angular freguency) I know the solution(T=2pi * seqroot(M/k)) but how can I get there?? how can I eliminate Mg...

Hi i am studying for a test and found this problem that i have no clue how to do.. I was hoping for some help with it like equation to start. thanks Homework Statement In an amusement park ride called The Roundup, passengers stand inside a 14.0 m-diameter rotating ring. After the ring...

The mass of a star is 1.4 × 10^31 kg and it performs one rotation in 26.3 day. Find its new period if the diameter suddenly shrinks to 0.55 times its present size. Assume a uniform mass distribution before and after. I don't know what I am doing wrong here: Iw(intial)=Iw(final)...

In class, we were asked to the relation T =2π√(2I/mgL). However, I am only able to get T =2π√(I/mgL) -- I have no idea where that 2 came from. This is for a physical pendulum of a rod like object swinging back and forth. Does anyone know how to get that equation?

Homework Statement If f{x + p } = f{x} for all x..then p is called the period of the function. This part is clear to me.Now the book says... The period of the function f{ax + b} is b/a.Can someone lead me through. Homework Equations N/A

How does one know when the a polar curve repeats itself? I usually go from 0 to 2pi but that sometimes get me into trouble. For example: Question says find the horizontal and vertical tangents of this curve.. r=3cos\theta I was like well.. you have horizontal tangents when \theta =...

The mass of a star is 1.170×1031 kg and it performs one rotation in 28.30 day. Find its new period (in days) if the diameter suddenly shrinks to 0.610 times its present size. Assume a uniform mass distribution before and after. How do I even start this problem? Can anyone give me step by...

Homework Statement The rotation period of a small asteroid is 10.21 revolutions per day. What is the minimum density for this object?Homework Equations The Attempt at a SolutionI should be able to use angular momentum right? I'm trying to do this by approximating the asteroid as a sphere and...

A clock pendulum has a period of 1.222 seconds where g = 9.812 m/s^2. 1. What is the new period of the pendulum when g = 9.797 m/s^2? 2. How many seconds will a clock using this pendulum lose in 24 hours? For the first one, using 7 significant figures, the new period comes out to...

[SOLVED] Period of a satellite 1. Given: G = 6.67 x 10^-11 N m^2/ kg^2 The acceleration of gravity on the surface of a planet of radius R = 4910 km is 11.8 m/s^2. What is the period T of a satellite in circular h = 8445.2 km above the surface? Answer in units of s. 2. F = GMm/r^2 F...

[SOLVED] period and cycle of a function...is the same thing, no? it essentially is right? but can be further defined as a)cycle...-can start at any x point b)period...-the unit measure of the cycle correct?

Homework Statement A wave traveling in the positive x direction with a frequency of 19.0 Hz The full amplitude of the wave is 0.18 m and the wavelength is 0.20 m What is the period and speed of the wave? Homework Equations speed=(frequency)*(wavelength) Frequency=1/period The...

Homework Statement Hi, For a certain oscillator the net force on a body, with mass m, is given by F=-cx^3. One quarter of a period is the time taken for the body to move from x=0 to x=A (where A is the amplitude of the oscillation). Calculate this time and hence the period. Homework...

Say I have the probability of something happening in period of a day. How am I going to tackle finding the probability of it happening in a period 7 days? Statistical independence of events or not.

Hi all, I just realize that for most of the planets in our solar system, the heavier the planet, the faster it rotates around its axis. Do you think there may be any reasons for that?

Homework Statement The Hubble Space Telescope orbits Earth 615 km above Earth's surface. What is the period of the telescope's orbit? Homework Equations T = 2(pi)r/v The Attempt at a Solution T = 2(pi)(6.37x10^6)/9.8

Homework Statement What is the period T of f(t) = cos(3\pi t) + \frac{1}{2}sin(4\pi t) So, I think I have to find the LCD of 3pi and 4pi, which is 12pi. I don't think this is even close to correct though!

Homework Statement A woman rides a carnival Ferris wheel at radius 21 m, completing 4.2 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point? Homework...

[SOLVED] Simple pendulum: does the period change in a horizontally accelerating frame Homework Statement Simple pendulum which is 5.0m long. What is its period when it is in a truck accelerating horizontally at 5.0m/s/s? Homework Equations w = sqrt(g/d) w = 2pi/T The Attempt at a...

An oldie but goodie. 'Twas the nocturnal segment of the diurnal period preceding the annual yuletide celebration, and throughout our place of residence, kinetic activity was not in evidence among possessors of this potential, including that species of domestic rodent knows as Mus musculus...

Jupiter is 5.2 times farther than Earth from the sun. Find Jupiter's orbital period in Earth years. Equation to use is: T^2 = Kr^3 Radius of Earth is 6378100 m and radius of Jupiter is 71492000 m. I rearrange the equation to K = T^2/r^3 and set k of Earth equal to k of Jupiter. I enter...

Homework Statement A 175g mass attached to a horizontal spring oscillates at a frequency of 2.0Hz. At one instant, the mass is at x = 5.0cm and has Vx = -20cm/s. Determine the following. a.) the period b.) the amplitude c.)the maximum speed d.)the total energy Homework Equations...

What is orbital period?

The 3.00 kg cube has edge lengths d = 6.30 cm and is mounted on an axle through its center. A spring (k = 950 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 3.00° and released, what is the period of the resulting SHM...

[SOLVED] Simple Harmonic Motion - Period (T) 1. A pendulum oscillates with a period T. If both the mass of the bob and the length of the pendulum are doubled, the new period will be _____. 2. T = 2(pi) x rad (k/m) 3. Since L is not a part of the equation, it shouldn't affect...

I wasn't sure where to post this problem, as it's physics related, but rather advanced in its math content (and it's a problem for my applied math course). Homework Statement Considering a spring-mass system (like http://www.cs.toronto.edu/~faisal/teaching/notes/csc418/faisal/img/sm1.gif" )...

Hi, We were talking about the speed of air expelled from the mouth as it passes over the embouchure hole of a flute, and I'm having trouble understanding part of the concept. At one point, in the notes, I have if the velocity of the airstream is greater than the period of the flute cavity's...

I did a pendulum lab and determined that length affected the period. So the values got where: 10 cm = 6.47 s 15 cm = 7.895 s 20 cm = 8.94 s 25 cm = 9.89 s 30 cm = 10.5 s 35 cm = 11.905 s With these values, it seems like graphing this straight as it is results in a linear line, but I...

Homework Statement In Fig. 16-41, a stick of length L = 1.6 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point O gives the least period? (b) What is that least period...

Homework Statement I'm looking for the period of an orbiting object a certain height from the Earth's surface, I am given this height. So I have the total radius of 6,5OO,OOO m, g = 9.81 m/s^2 and the mass of Earth = 5.98*10^24 kg Please note that for this problem G is another constant...

A mass which is resting on a horizontal frictionless surface is connected to a fixed spring. The mass is displaced 0.16 m from its equilibrium position and released. At t = 0.50 s, the mass is 0.08 m from its equilibrium position (and has not passed through it yet). What is the period of...

Homework Statement A large population of nominally identical "fail to close" control valves are put into service on the same day on similar installations. The number of valve failures per month N was recorded over time and shown to be given approximately by the following equation Calculate...

Homework Statement True or False Quadrupling the mass will double the period. Tripling the amplitude will sextuple the frequency. Doubling the amplitude will not change the frequency. Halving the amplitude will quadruple the frequency. Doubling the spring constant will halve...

Homework Statement A solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk. If you use this disk as a pendulum bob, what is T(d), the period of the pendulum, if the axis is a distance d from the...

Period of a Star...Please help! Homework Statement The mass of a star is 1.250×1031 kg and it performs one rotation in 36.30 day. Find its new period (in days) if the diameter suddenly shrinks to 0.590 times its present size. Assume a uniform mass distribution before and after. I don't...

A star has a mass approximately 100 times that of our sun. If a planet with the same mass as the Earth is oribiting at a radius similar to that of the Earth's radius around the sun, how long would it take the planet to revolve around the star once? Ok, the period of the Earth's rotation is...

iI was asked to find the mass of a star given the orbital distance and the period. my mass came out to be 2.31^30 kg. Its then asking me to express it in terms of our sun's mass. Really don't understand what it means by that

Homework Statement A satellite is in a circular orbit about the Earth (M = 5.98 x 1024 kg). The period of the satellite is 7.12 x 104 s. What is the speed at which the satellite travels? 2. The attempt at a solution I used the equation: http://img171.imageshack.us/img171/7176/math062gg0.gif...

Here is the question: Gently displace the mass and release it so that it performs vertical oscillations. Make measurements to determine the period T of the oscillations. +++++ So here is what I did: Time for 20 oscillations = t1 (2 d.p) Time for another 20 oscillations = t2 (2 d.p)...

Homework Statement In a test of a “g -suit,” a volunteer is rotated in a horizontal circle of radius 7.7m. What must the period of rotation be so that the centripetal acceleration has a magnitude of 3.7g ? What must the period of rotation be so that the centripetal acceleration has a...

Homework Statement A grandfather clock is calibrated to 20 degrees Celsius. If the room temperature were to be increased to and maintained at 30 degrees, how much would the clock run slower by in a 7 day period? (Yes, the length of the pendulum is NOT given) Can someone help me with this...

Of an asteroid whose Mass is 2.0*10^-2 times that of Earth's and whose distance from the sun is twice the Earth's distance from the sun. Find the period in years. I am supposed to use the concept of gravitational F=centripital force=m\frac{v^2}{r} and the fact that v=\frac{2\pi r}{T} so this...

Homework Statement If x(t) is a periodic signal with period T, show that x(at), a > 0, is a periodic signal with period \frac{T}{a}, and x\left(\frac{t}{b}\right), b > 0, is a periodic signal with period bT. Homework Equations HINT: Define x_a(t)\,=\,x(at) and...

Homework Statement Show that if x_1(t) and x_2(t) have period T, then x_3(t)\,=\,ax_1(t)\,+\,bx_2(t) (a, b constant) has the same period T. Homework Equations x_1\left(t\,+\,T\right)\,=\,x_1(t) x_2\left(t\,+\,T\right)\,=\,x_2(t) The Attempt at a Solution...

Homework Statement Find fundamental period of x(t)\,=\,cos\left(\pi\,t\right) Homework Equations x(t)\,=\,A\,sin\left(\omega_0\,t\,+\,\phi\right) Which has a fundamental period T\,=\,\frac{2\pi}{\omega_0} The Attempt at a Solution \omega_0\,=\,\pi <---- Right? T\,=\,\frac{2\pi}{\pi}\,=\,2...