Period Definition and 997 Threads

Mars travels in a nearly circular orbit of radius 2.28 x 10^11 m around the Sun. The mass o Mars is 6.27 x 10^23 kg. The gravitational force of attraction between Mars and the sun has a magnitude of 1.63 x 10^21 N. a) what is the speed of Mars? i got 2.4 x 10^4 m/s b)Determine the period...

Homework Statement The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 170,000 km. The mass of this planet is 5.7x10^26 kg. Find the period of an orbiting chunk of ice at the inner radius. Homework Equations The force of...

Homework Statement The Hubble Space Telescope orbits Earth 614 km above Earth's surface. What is the period of the telescope's orbit? Homework Equations T=(2*pi*radius)/v The Attempt at a Solution No attempt, Using that equation, I'd have to know the velocity, and that is where...

1. During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of 100km. How long did it take to go around the Moon once? 2. T= 2(pi)(r^3/2) / root (GM) mass of moon = 7.35 X 10^22 radius of moon= 1.74 X 10^6 3. I think that is the...

I'm doing an experiment on periodic motion using a spring and a mass on the end. My teacher wants us to graph T^2 and mass, but i don't understand we don't just graph T. I hope someone understands what I mean :smile:

Homework Statement A pendulum clock is designed to tick off one second on each side-to-side swing of the pendulum (two ticks per complete period). Will a pendulum clock gain time in hot weather and lose it in cold, or the reverse? Explain your reasoning? Homework Equations No equation...

This question has been stumping me on my Astronomy homework for the past couple of days. I've tried to input the question into any of the other formulae that we've studied, but I keep drawing a blank on it. Homework Statement Given the size of Triton's orbit(a = 355,000,000 meters) and...

What position should you start to time the period and why? Should you start to time the period straight away or wait, and if so for how long (how many oscillations)? If the length is fixed should you use a long or short pendulum to increase precision? If the mass is fixed should you use a large...

Homework Statement This is a practical experiment. We have to find the factors effecting the period of a vibrating ruler. This entails finding first the period of a vibrating ruler. We have the equipment a ruler, a stopwatch, some stickytape and a pencil Homework Equations The...

Right, I am new here and i am really stuck on my homework. Wandering if you could help me :D lol anyways, [FONT="Arial Black"][SIZE="4"]a loudspeaker vibrates at a frequency of 256 herts to produce a note we call middle c. (a) how many waves does it produce in one second (b) how many...

x = (2/5)cos(t) + (1/5)sin(t) by graphing this, I found the period to be 2*pi. My concern is, when taking an exam I won't have time to bother with graphing or I'll get slammed with a weird graph and panic and get stuck. I'm pretty sure there is a way to find the period quickly without...

f(x) = - sin(x/5 - pi) the period for this is -pi correct, since, k taken out it is 1, and by divide -pi into 1, the answer will be -pi only, correct??

Qn. A simple pendulum has a length of 3.00m. Det the change in it period if it is taken from a point where g=9.80ms2 to a higher elevation where the acceleration due to gravity decreases to 9.79ms2. i cannot seem to start the question and a bit unsure here... here is what i get...

The period of the leg can be approximated by treating the leg as a physical pendulum, with a period of , where I is the moment of inertia, m is the mass, and h is the distance from the pivot point to the center of mass. The leg can be considered to be a right cylinder of constant density. For a...

A small planet has an orbital period that is twice that of Earth. What is the planet's orbital distance? From Kepler's 3rd law of planetary motion, I can assume that: rp3 / rE3 = Tp2 / TE2 where rp is the orbital radius of the planet and Tp is the orbital period of the planet...

A neutron star cannot spin with less than a certain critical period, or else it will start to lose mass from its equator due to the “centrifugal” force. Estimate this period.

Homework Statement Determine the period of oscillations of a simple pendulum ( a particle of mass m suspended by a string of length l in a gravitational field) as a function of the amplitude of oscillations. Homework Equations T(E) = \sqrt(2m) \int^{x_2(E)}_{x_1(E)}\frac{dx}{\sqrt(E-U(x)}...

An ob ject moves with simple harmonic motion. If the amplitude and the period are both doubled, the ob ject’s maximum speed is I believe the object's maximum speed would be halved correct? Considering the regular velocity does not depend on the Amplitude and only the Period would affect it?

The fastest rate of rotation of a planet is that for which the gravitational force on matter at the equator just provides the centripetal force necessary for that matter to move with circular motion. Show that the period of rotation in this case is given by T= √3π/Gp where the planet is...

Hey, I know that the equation to find the period of a pendulum is T = 2\pi\sqrt{\frac{l}{g}} and my question is how exactly did they derive this? I've done some research and it confused me even more, can someone please explain the procedure to derive this equation? Thanks.

Use Kepler’s laws to determine the period of the Hubble Space Telescope which orbits the Earth at an altitude of 610 km. I'm using the equation i know to find the period of an object revolving around another object T^2=Kr^3 T^2=(4pi^2/GM)*r^3 G=6.67 x 10^-11 M=5.98× 10^24 (Mass of...

What is the period T of the wave ? If i am given: Maximum electric field of 2450 V/m Wavelength of 547 nm I found: Angular Wave # 1.15*10^7 Angular Frequency 3.45*10^15 Velocity of Electromagnetic Wave 3*10^8 m/s B max of 8.17*10^-6 T Intensity of 7960 W/m^2 I tried to solve...

Homework Statement a planet is 2.00 a.u. when it is closest to the sun. its eccentricity is .5000. Find its period in years. Homework Equations The Attempt at a Solution i got this so far... don't know if it is right PD + AD = A -AD - PD = F <SUBTRACTING THESE TWO>...

What is the evidence for the Inflationary Period? Is there CMB/ WMAP data to support the theory of inflation? As far as I know, which is very little, the Inflationary Period was inserted into the standard model of cosmology to account for the Horizon Problem. What evidence for the period is...

Hey guys I'm from Brazil and I'm studying physics to pass in one of the best universities here. However, the physics test is much harder than what we study at school. I am currently working on a book called "Selected Elementary Physics", by MIR Moscou, and I am having a lot of trouble. I don't...

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...

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...