Acceleration Definition and 1000 Threads

There is a problem in my Physics textbook which says: Homework Statement "A car runs counter-clockwise in a circular lane of 1 km of diameter, going through the south extreme at 60 km/h on the instant t = 0. From that point onwards, the driver accelerates the car uniformely, reaching 240 km/h...

Homework Statement A 1.5 kg ball is tied to a string that is .75 m long and whirled in a verticle circle. A) Find the tension in the string at the top of the circle B) Find the tension in the string at the bottom of the circle Homework Equations Fc=mac ac= v2/r The Attempt at a Solution A)...

Hi I'm currently on the data analysis section of my MSc and I'm after some guidance if possible please. Basically I've managed to figure out many variables from force plate data including displacement/net force/velocity/power etc however I'm trying to do the same with data collected from a...

Homework Statement A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude α of the angular...

Homework Statement All numerical constants are in the appropriate units, so that R (t) in units of meters, and a = 3.1 sec-1. What is acceleration size (in meters per second ^ 2) t = 1 / 1.1 sec? Note: When calculating sin (at), make sure the computer is in radian mode. Homework Equations...

As far as I understand it, the Lorentz factor ##\gamma(\mathbf{v})## is constant when one transforms between two inertial reference frames, since the relative velocity ##\mathbf{v}## between them is constant. However, I'm slightly confused when one considers four acceleration. What is the...

Homework Statement what is the angular acceleration of the arm when theta equals 45 degrees. v=2 m/s picture is attached Homework Equations law of sites law of cosinesThe Attempt at a Solution [/B] so I used the law of sines to resolve side r as being 579.555 mm now I now I need to take time...

Hi everybody Does anyone familiar with this equation? Acceleration resistance, = {(load MOI/mech. efficiency) + (motor MOI) x rpm^2} / {3.65 x 10^5 x acceleration time} = {(kgm^2/ƞ) + (kgm^2) x rpm^2} / {3.65 x 10^5 x second} = final value unit is in kilowatt (kW) It used to calculate the...

Homework Statement A new Tesla is designed that can perform a non-constant acceleration for 10 seconds of motion. The magnitude of the acceleration is given as a(t) = 1 m/s4t2 Starting from rest, how far does the car travel over this 10 second interval? Homework Equations This is what is...

Homework Statement Suppose there is an object that is a distance ##r_0## from the center of a planet that is nearby (the object is outside the surface of the planet). Let ## r ## represent the distance from the object to the planet's center. Let ## t ## represent time. The object, which is...

Hello guys. i know i shouldn't be doing this, but I am asking you if you can help me with a problem for my younger sister, because my major is something else (biology, genetics) and she need this and doesn't know how to solve it.. 1. Homework Statement At an upper end of the slope inclined at...

Homework Statement If a proton with a kinetic energy of 6 MeV is traveling in a particle accelerator in a circular orbit of radius 0.75m, what fraction of its energy does it radiate per second? m = 1.67 * 10^-27 epsilon_0 = 8.854 * 10^-12 c = 3 * 10^8 Homework Equations dE/dt = (q^2 a^2) /...

If the universe is expanding at an accelerating rate, either through a "pushing" or "pulling" force in a direction, and we have come from a "big bang point", then I wonder if we could calculate all our vectors at anyone moment and time to find the universal acceleration point and direction. If...

Homework Statement "A drum of 60-mm radius is attached to a disk of 120-mm radius. The disk and drum have a total mass of 6 kg and a combined radius of gyration of 90 mm. A cord is attached as shown and pulled with a force P of magnitude 20 N. The disk rolls without sliding. Determine the...

Are there maybe pictures of what would happen with humans if they were fired from a cannon like in Jules Verne's "From Earth to the Moon"?

How do i get an idea, or a 'feel' of the components of the acceleration in polar coordinates which constitute the component in the eθ direction? from what i know, a= (r¨−rθ˙^2) er + (rθ¨+ 2r˙θ˙) eθ ; (where er and eθ are unit vectors in the radial direction and the direction of increase of the...

I have been wondering, simple question, really: What is the relationship between momentum and centripetal acceleration, if there is one? Is there a relationship in terms of velocity, maybe, or is there none whatsoever?

Homework Statement A pulley of radius, R and moment of inertia, I=2MR^2 is mounted on an axle with negligible friction. Block A, with a mass M, and Block B, with a mass of 3M, are attached to a light string that passes over the pulley. Assuming that the string doesn't slip on the pulley, Answer...

I've drawn the diagram of the forces exerted on and by a block resting on a floor. For now, it seems that the forces exerted on the block are balanced - thus it doesn't accelerate. The forces exerted on the floor are, however, not balanced. The floor is not accelerating downwards, I must then...

Homework Statement Famous quarterback Fleet O. Floote is attempting a quarterback draw by running up the middle toward his goal line at 4.6 m/s. A linebacker hits him squarely, and their combined final velocity is 3.8 m/s at an angle of +120.° from the quarterback's original direction. The time...

Note: I didn't really know where to put this. It isn't a specific problem, but I've been asked by my physics teacher, who decided to give me and a few others an individual physics course of sorts, to find the means of solving similar problems. It's the first problem he assigned us, since we're...

Homework Statement 2 A particle P of mass mkg moves on an arc of a circle with centre O and radius a metres. At time t = 0 the particle is at the point A. At time t seconds, angle POA = sin^2 2t. Find (i) the value of t when the transverse component of the acceleration of P is first equal to...

Homework Statement The velocity of an object moving along the x-axis is given by Vx = (2.0t-t2)m/s. Initially (at t=0), the object was at the origin. a) Determine the object's acceleration at t=3.0s. b) Find the object's position at t=3.0s c) Calculate the object's maximum positive...

Homework Statement An Atwood machine is a rope that passes over a pulley with a block attached to each end of the rope so that the blocks are not in contact with the floor. The frictionless axle of the pulley is oriented horizontally, and the rope is vertical save where it makes contact with...

Homework Statement Large cockroaches can run as fast as 1.50 m/s in short bursts. Suppose you turn on the light in a cheap motel and see one scurrying directly away from you at a constant 1.50 m/s. If you start 0.91 m behind the cockroach with an initial speed of 0.82 m/s toward it, what...

Homework Statement [/B] A uniform cylinder with radius r is rolling down an incline without slipping as shown in diagram below. It's angular acceleration is α and acceleration of it's center of mass C is a. What will be the linear acceleration of point of contact P and another point Q on the...

A friend of mine posed a question to me the other day and I can't seem to wrap my head around it. He's working with an electric stepper motor to turn a large thin disk, but he can't be sure of the torque required because to find the torque he needs the moment of inertia and the angular...

Recently, I was thinking about fusion and this thought struck my mind. In tokamaks, the plasma is heated to extremely high temperatures in order to supply enough energy to the ions for them to fuse. But since, the plasma follows a Boltzmann maxwell distribution curve,only a few ions have have...

Homework Statement If the masses for a double Atwood machine similar to the own shown in the attached picture are m1=2.0kg, m2=3.0kg, and m3=8.0kg: (a) what is the magnitude of the acceleration of the system and (b) how would you draw free-body diagrams for this problem? NOTE: m3 does not...

Homework Statement A small car with mass .800 kg travels at a constant speed of 12m/s on the inside of a track that is a vertical circle with radius 5.0m. If the normal force exerted by the track on the car when it is at the top of the track is 6.00N, what is the normal force at the bottom of...

Following scenario: A rocket measuring 10 lightseconds in length accelerates near instantaneously to v=0.4c. Pre-acceleration two clocks placed at the endpoints of the rocket were synced. What will be the time difference between the two clocks post acceleration? I tried to figure it out...

EEE degree w/ phys minor. hubble's graph shows velocity increasing over distance, not time. an image 10 mil ly away is 10 mil y old (t = -d/c) the origin of hubble's graph is d=0 and t=now, not 0 older images are faster and older image means younger galaxy distance is proportional to age, which...

In another forum, the question was raised, "could a ship with 1G acceleration escape the gravity well of a planet with 1G gravity?" A popular response is, if the craft is aerodynamic, it could accelerate laterally until it reached escape velocity and then manage to get to space. I don't...

Hello everyone, first post! I'm not terribly fluent in these matters, I'll say to start, but I have a problem. If a 3,219lb car is capable of accelerating at 40.2ft/s^2, or 0-60mph in 2.19 seconds How much power must it be capable of producing? Thanks for your time and patience! :)

Homework Statement Two boxes with masses m_1 = 4 kg and m_2 = 10 kg are attached by a massless cord passing over a frictionless pulley as shown in in my picture. The incline is frictionless and thetha = 30 degrees Homework Equations f = ma The Attempt at a Solution [/B] Tension 1 is...

Homework Statement Hello I have a video that is 30 fps according to the video information (when i right click on the file). It is stated that the videos were filmed in slow motion at 1/10 of normal speed. I'm using a standard version of MATLAB to plot points (actual position) on a moving...

Homework Statement An 82 kg couch is being pushed with a force of 56 N at an angle of 40o above horizontal. Friction is to be considered. Draw a free-body diagram representing this scenario.If the coefficient of friction between the couch and the floor is 0.051, what is the acceleration of...

Two masses, m and M, are a fixed distance R apart. One of the masses is much larger then the other. At time t the masses start to fall towards each other. Using Newton's Law of Gravitation we can determine the acceleration of the small mass. Can one use the Schwarzschild metric in the...

Homework Statement Approaching one of the many sharp horizontal turns in the Monaco Grand Prix, an experienced Formula-1 driver slows down from 135 km/h to 55 km/h while rounding the bend in 10 s. If the driver continues to decelerate at this same rate and the radius of the curve is 15 m, what...

Homework Statement A child swings a tennis ball attached to a .750 m-string in a horizontal circle above his head at a rate of 5.00 rev/s What is the centripetal acceleration of the tennis ball? Homework Equations angular speed \omega = 2pi/T speed = r\omega a_c = -v^2 /r a_c = -\omega ^2...

Hey, orbital mechanics! I can't find what I need to figure this out on the internet, and I don't do calculus so I don't understand all that I find. Help me make my next sci-fi novel plausible? I just did an Oberth maneuver around Sol, 21 radii (.0977 AU, 14,616,000 km) from center...

1. For the following, the x-axis is not allowed to be set along the ramp. If a mass, starting from rest, slides along a linear, frictionless incline of length D and then falls a distance h to the ground, will it have an x-component of acceleration? 2. Relevant kinematics formulas? 3. I...

I'm new to this, so I'm sorry if I am doing this process incorrectly. I feel like the answer to this should be straightforward and should just be √(2Lgsinθ). For some reason, I thought there was an acceleration vector along the ramp made up of x and y components, but I don't think this is...

I've been trying to figure out this seemingly simple problem for a theoretical project I'm doing, but can't figure it out. Homework Statement This isn't real, but say that a vehicle travels from 0 to 200 feet linearly at a non-constant acceleration of 32.17 m/s^2 (1g), but the acceleration is...

I'm trying to understand the geometrical meaning of acceleration in circular motion. When I consider a particle moving in a circular path, I can clearly see that the acceleration vector can be composed of a tangential and radial component. But since the change in velocity happens over a period...

Hi all, I stumbled into a somewhat odd mathematical problem, so I guess I've overlooked an important detail. If I have a mass of 1kg on wheels horizontally, and apply 10N of constant force so the mass is accellerating. I assume the velocity of that mass after 1 second is approx 10m/s. Then...

Homework Statement 2. Homework Equations [/B] Consider a particle that is described by $$x(t)=(2.0-0.1t) \cos(0.5t)$$ and $$y(t)=(2.0-0.1t) \sin(0.5t)$$ t in seconds and x,y in meters. In previous subquestions we were asked to determine an expression for the module of the velocity vector and...

Homework Statement Determine the initial acceleration of the 15-kg block if (a) T = 23 N and (b) T = 26N. The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible. I have attached a picture of the problem. The Attempt at a Solution a)...

<Moved from a technical forum. Therefore no template.>I am currently analysing the forces acting on a moving vehicle. The vehicle is mounted on a rail with wheels on both upper and lower side of the rail with a spring increasing the reaction force, and thereby the friction. The vehicle should be...

I have a rather odd question that delves outside of the realm of reality just a bit. Recently, I've had a bit of an obsession with designing ludicrous weapons. My current venture is a little bugger I call the 20MM Magnetic Accelerator Rotary Cannon. The MARC20 for short. It's an eight barreled...