Angular velocity Definition and 866 Threads

Homework Statement A speaker is attached to a wire 1.5 m long and is spun in a circle at 2 rev/s. The speaker is connected to an electric piano on which a child is playing a note at 261 Hz. Speed of sound in air is 343 m/s. What range of frequencies will the stationary observer hear? I...

Hi people, i had my final exam yesterday, and one of the questions was this "a particle in uniform circular motion, moved for an interval of 0.185 seconds in a circular path of radius 16 cm, what is the angular velocity of the particle"? I think that the question lacks information, am i right?We...

Hello, I am having a problem calculating the angular velocity of a bouncing ball. At first this ball is thrown a distance and then hits the ground. Before it hits the ground it has no angular velocity. After it hits the ground it gets an angular velocity. I have the inertia of the ball...

Homework Statement http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/fa07/fig19.gif A dumbbell consists of a slender rod of negligible mass and length L = 1 m and small steel balls attached to each end with mass 1 kg and 2 kg, respectively. It...

I had 2 questions: 1. My textbook derives that the equation from lenz's and faraday's law emf = - d(N*flux)/dt = B * dA/dT where dA/dt = length * speed However, why does the N value disappear in the new equation? Also, this question is given after: 2. A metal propeller...

Homework Statement Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle theta of 25.5 degrees with respect to the vertical, maintaining the same height...

Homework Statement A horizontal bar of mass 3.0 kg and length 1.0 m is free to rotate about a vertical axis through its center. A clay blob of mass 1.0 kg traveling at a velocity of 2.0 m/s in the direction shown collides with the end of the bar and sticks to it. Find the magnitude of the...

Homework Statement I am given the attached graph (excuse my abysmal homemade graph!). On the y-axis, I presume that it is displacement (x). The x-axis is time. This graph looks like SHM, but I could be wrong! The graph rises from 0 to 2 every 2 seconds, and drops back to 0 on the y-axis...

Angular veloity, tangential velocity and acceleration ect.. blahh okay so we've gon over it is class but it still confuses me... some of the forumal's I've remembered are s=(theta)r (theta)=s/r anyways I am not sue how to find the tangential velocity and angular velocity what's the...

Homework Statement Okay, imagine there is a rod floating in space, except its not moving and not rotating. you are stationary next to the rod. you decide to push the rode with your finger at a spot "x" distance away from it's centre of mass. how much of that force will turn into plain speed...

Homework Statement a wheel rotates with a constant angular acceleration pie rad/s^2. during a certain time interval its angular displacement is pie rad. at the end of the interval its angular velocity is 2pie rad/s. what is the angular velocity at the beginning of the interval? Homework...

Homework Statement A rotating object has angular velocity 10radians/s. After one min through what angle has the object rotated in 1) radians 2) degrees Homework Equations Degrees = Radians x 180/Pi The Attempt at a Solution I have tried and only come up with an answer of...

Homework Statement A 2100lb airplane requires a power of 100 HP at the propeller to climb at an angle of 20 degrees to the horizontal at a constant speed. how much altitude could it gain in 10 minutes? Homework Equations that's actually what I need help on...i left my book at school...

A 4.8m diameter merry-go-round is rotating freely with an angular velocity of 0.8rad/s. Its total moment of inertia is 1950(kg)(m2). Skid, Mitch, Larry, and Greezy all jump on at the same time. They each have a mass of 65kg.What is the angular velocity now? Relevant equations...

Homework Statement 1 m long rotatable bar with a mass of 2 kg is held on vertical stick that goes through its center of gravity. A bullet with mass 0.2 kg is shot with a speed 1 m/s horizontally at the edge of the bar. After the collision the bullet lodges into the bar. Calculate the angular...

A machine rotates at an angular velocity of 1.6rad/s. Its velocity is then increased to 6.2rad/s at an angular acceleration of 0.7rad/s2. (a) How many revolutions does it make during its acceleration? (b) How long does the acceleration take? Sorry I'm not quite sure as how to approach this...

Homework Statement A CD player spins a disc in a clockwise direction when looking at the player from the top. What is the direction of the angular velocity. Homework Equations The Attempt at a Solution OK, the key for this practice exam says the answer is in the -y direction. I...

Homework Statement "A car is traveling at 100 km/h and the tire of the car has a radius of 36cm. Find the number of revolutions per second." The Attempt at a Solution100 km/h * (10,000,000 cm/km) * (1h/3600 secs) = 2777.77777778 cm/s is the speed of the car. Θ = a/r Θ = (2777.78) / (36) Θ =...

Homework Statement A uniform rod of mass 2.90×10^−2 kg and length 0.410m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.160 kg, are mounted so that they can slide along the rod. They are initially held by...

Homework Statement A rotating disk of 2.50m in diameter serves tu connect a counter weight to a mass through a massless rope. The rope does not slip on the disk so, there is no friction on the rim. What angular velocity in rpm must the disk turn to raise the elevator at 25.0 m/s...

Homework Statement Figure 10-22 is a graph of the angular velocity versus time for the rotating disk of Fig. 10-21a. For a point on the disk rim, rank the instants a, b, c, and d according to the magnitude of the radial acceleration, greatest first (use only the symbols > or =, for...

A 2.0 {\rm kg}, 20-cm-diameter turntable rotates at 100 {\rm rpm} on frictionless bearings. Two 500 {\rm g} blocks fall from above, hit the turntable simultaneously at opposite ends of a diagonal, and stick. What is the turntable's angular velocity, in rpm, just after this event? I'm not...

1. The Earth spins on its axis once a day and orbits the sun once a year (365.24 days). Take the positive direction for the angular displacement to be the direction of the Earth's motion. Express your answers in radians/second. 2. Wavg = Delta Theta / Delta Time Delta Theta is in radians...

1. The Earth spins on its axis once a day and orbits the sun once a year (365.24 days). Take the positive direction for the angular displacement to be the direction of the Earth's motion. Express your answers in radians/second. 2. Wavg = Delta Theta / Delta Time Delta Theta is in radians...

Homework Statement A thin rod of length 1.4m and mass .2kg is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 7.84 rad/s. Neglecting friction and air resistance, find how far above that...

Homework Statement A turntable that is initially at rest is set in motion with constant angular acceleration a. What is the angular velocity of the turntable after it has made one complete revolution? Homework Equations 2(pi)rads=1 revolution the 3 constant acceleration equations, i...

Homework Statement A playground carousel is rotating about its center. The radius of the carousel is 1.5m, its initial angular speed is 3.14 rad/s and its moment of inertia is 125 kg m^2. A 40kg person climbs onto the carousel near its outer edge. What is the angular speed of the carousel...

Homework Statement A Ferris Wheel with a radius of 25.3m makes two rotations per minute. A) Find the average angular speed of the Ferris wheel in radians per second. B) How far does a rider travel if the ride lasts 5 minutes? The Attempt at a Solution A) I got this question after...

When talking about the translational velocity of a rigid body in physics, the velocity is always frame dependent, and therefore, the translational kinetic energy is frame dependent. But does this apply to angular rotation phenomenon? If in one frame, the angular velocity of a rigid body is 10...

Hey Folks I have rather a silly doubt i guess... It goes like this Consider a disc rotating about a fixed axis with constant angular velocity. Which means it has no angular acceleration ie it must be 0. Now since Torque=(moment of inertia)*(angular acceleration). hence the torque acting on...

Homework Statement 2 questions I really need help with 1) a 20g weight is attached to one free end of a 2.5m length of string, other end is attached to the ceiling. The weight is pulled to one side And released when the angle between the verticle and the string is 53.1 degrees. What is the...

Homework Statement A 5.00x10^3kg is orbiting the Earth in a circular path. The height of the satellite above the Earth is 8.00x10^2km what is the magnitude of the angular velociy? Mass of earth: 5.98x10^24kg radius of Earth plus satellite:6380800m G:6.674x10^-11 Homework Equations...

Homework Statement A projectile is launched at 36 m/s and travels 100 m horizontally. If it is to be able to just barely clear a 10 m wall, between what two angles should the projectile be launched with respect to the horizontal? Homework Equations vf=vo+at x=vot+1/2at^2...

Hi, Currently i have a situation where I have two transformation matrices A and B (both 4x4). matrix A represents the transformation at time t=0 and matrix B represents the transformation at t = 1. I am wanting to calculate the angular velocity required to transform matrix A to matrix B, is...

I'm using a 3rd party physics engine to run rigid body physics. It just updates the bodies once every 16 ms or so. I'm trying to write an algorithm to predict where free-falling bodies will be in 2 seconds using standard physics equations. I'm having trouble with predicting angular velocity and...

In special relativity the clock hands velocity is represented by: V = v0*(1-v2/c2)^1/2 then: What happen with electrons angular velocity in atomic structure? It may be the same?: V = v0*(1-v2/c2)^1/2 if this could be true what happen with matter?

Hi all! I've got a problem which I can't solve for almost a week :-/ It's about simulating a car with some physics added. The things is that I cannot calculate the wheel angular velocity right. Let's assume that a car has no velocity and is using 7300 N (1st gear, 1000 rpm) of force on the...

Homework Statement This problem is all conceptual and there is no calculations needed. My question is this: A top is spinning counterclockwise as seen from above. It is also moving to the right with a linear speed v. What is the direction of the angular velocity vector w=theta/time...

Hello everyone, I hope that someone can help me solve this rather than solving it for me, here's the problem and what I've done so far...oh and thanks in advance! Homework Statement A thin rod has a length of 0.25 m and rotates in a circle on a frictionless tabletop. The axis is...

Homework Statement A rotating wheel with radius 40 cm and a connecting rod PQ with length 1.2m. The pin P slides back and fourth along the x-axis as the wheel rotates counterclockwise at a rate of 360 revolutions per minute. Find the angular velocity of the connecting rod, da/dt, in radians per...

Homework Statement A revolving light which 50sqrtroot3 away from the shore, revolves in a constant angular velocity, the spot of the light moves along the straight shore at a rate of 300m/s when it is 50 m from the point on the shore which is closest to the light. Find the Angular velocity...

Homework Statement Consider the carnival ride in which the riders stand against the wall inside a large cylinder. As the cylinder rotates, the floor of the cylinder drops and the passengers are pressed against the wall by the centrifugal force. Assuming that the coefficient of friction...

SOLVED Given initial angular velocity of wheel, find revolutions to rest Homework Statement As a result of friction, the angular speed of a wheel changes with time according to d \vartheta / dt = 4.1e-.088335775t where the initial angular velocity is 4.1 rad/s. Find the number of...

In the formula P=Tw, where T for torque(ftlbs) and w for angular velocity(rad/s), what is the unit for P(power)?

Homework Statement A 1.6 kg disk with radius 0.63 m is rotating freely at 55 rad/s around an axis perpendicular to its center. A second disk that is not rotating is dropped onto the first disk so that their centers align, and they stick together. The mass of the second disk is 0.45 kg and...

A Ferris wheel makes two rotations per minute. The radius of the Ferris wheel is 25 m. a) Determine the angular velocity in rad/s b) A ride lasts 4 min. How far will a rider travel in 4 min? My Work: a) C = 2Pi(25 m) = 50Pi m 50Pi m / 25 m = 2Pi rad 2 rotations/min x 2Pi = 4Pi rad/min...

A bicycle travels at 18 km/h. The tires on the bicycle are 70 cm in diameter. Determine the angular velocity in rad/s. My work: 18 km/h = 1800000 cm / 60^2 s = 500 cm / s C = 2Pi(35 cm) = 70Pi cm 500 cm / 70Pi cm = 2.3 rotations / s 2.3 x 2Pi = 4.6Pi rad/sec First I determine the speed in cm...

Homework Statement The Hubble Space Telescope is poered by two solar panels as shown. The body of the telescope has a mass of 11 Mg and a radii of gyration kx = 1.64m and ky = 3.85m, whereas the solar panels can be considered as thin plates, eac having a mass of 54 kg. due to an internal...

I would be extremely grateful if somebody could help me out with the following setup. I have a robot arm of x chains, where each chain element, i, at time t, is defined by length l_i(t) and quaternion q_i(t) (where the quaternion is a rotation to rotate from a previous chain element to...

Homework Statement The 10-lb slender rod AB is welded to the 6-lb uniform disk, which rotates about a pivot at A. A spring of constant k = 4.5lb/ft is attached to the disk and is unstretched when rod AB is horizontal. The assembly is released from rest in the position shown. Calculate and...