Angular velocity Definition and 841 Threads

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...

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...

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...

Hello everyone, I need some information with angular velocity in 3D and since I'm a math student, it's been a long time I haven't worked with physics, especially mechanics. This is why I need your help. Let's say I have this billiard ball (it's just an example) and I hit the ball with a cue...

1. Tim of a mass of 50 kg is standing on a large spinning disc of a mass of 80kg and a diameter of 5m. Tim standing at the edge of the disc which is rotating at 25 rad/s. He then walks to the center of the disc. Calculate the new angular velocity of the disc. 2. IW=I'W' IdiskWdisk + ImitchWmitch...

Homework Statement Using a coordinate system in whic x and y are due east and nort of the city and z is the radial distance outwards from te centre of te earth, find the compnents of w the Earth's angular velocity vector. You may assume that the latitude of the city is lamdba = 34degrees...

Homework Statement I encountered the following problem and I don't know where to begin or what formula to use... An object is moving in a circular path with a radius of 4.00 m. If the object moves through an arc length of 3.16m, then find the angular displacement? Homework Equations I...

Homework Statement The pinion gear A has a constant angular acceleration of 3 rad/s^2. Determine the angular velocity and angular displacement of the output shaft C @ t=2s starting from rest. The shaft is fixed to B and turns w/ it. A has a radius of 35mm, B has a radius of 125mm, C...

A child riding a merry-go-round is sitting on a horse onto a stationary pole 10m from the center of the merry-go-round. The ride starts from rest and with constant angular accleration obtains an angular velocity of 2 rad/s in 10 seconds. It then continues at 2 rad/s for 15 seconds and then...

Homework Statement A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration of 0.984 rad/s2. If the wheel starts...

Hi guys. I need some help to solve this question. (a) A body of mass m kg is attached to a point by string of length 1.25 m. If the mass is rotating in a horizontal circle 0.75 m below the point of attachment, calculate its angular velocity. (b) If the mass rotates on a table, calculate...

Could you let me know if my answers are correct? Homework Statement A light rope is wrapped several times around a large wheel with a radius of 0.400m. The wheel rotates in frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase with a mass of...

You desire to photograph the dynamics of a bumblebee in flight and estimate that its wings flap somewhere about 10,000 times a second. The radius of the film drum is r = 0.501 m and you've loaded it with 35mm film. A) You desire to take the photographs at a rate of 20,000 pictures per second...

angular velocity to horizontal?? hey, i was just wondering whether a costant angular velocity can be converted to an equivilant straight horizontal or vertical acceleration as angular velocity is already considered to be a constant acceleration??

Homework Statement A 7.00 g coin is placed 17.0 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of \mus = 0.850 and \muk = 0.540 What is the maximum angular velocity with which the turntable can spin without the coin...

Homework Statement There is a wheel (attached to an axel and the weight and the center of mass of both wheel and axel is known). There is a defined constant force (F) acting on the wheels center of mass and the friction force is also known (the coefficient of friction and the normal...

I feel really dumb, as this should be incredibly easy to figure out, but I keep getting the wrong answers. I am including the book's data so I can figure out how this needs to be done and then plug in my own values. Homework Statement Pilots can be tested for the stresses of flying...

Homework Statement A uniform rod 5.8m long weighing 10kg is pivoted at its center and a small weight of mass 5.15 kg is rigidly attached to one end. You may neglect the size of the weight and assume it is located right at the end of the rod. It is held at a 37 degree angle at rest, then...

From Angular Velocity to Angular Acceleration -- How? Homework Statement Calculate the vector acceleration as a function of angle for a mass rotating in a circle at the end of a string. The mass is rotating in the vertical plane, in the counterclockwise direction. \hat{i} and...

Homework Statement A particle of mass m at the end of a light string wraps itself about a fixed vertical cylinder of radius a. All the motion is in the horizontal plane (disregard gravity). The angular velocity of the cord is w0 when the distance from the particle to the point of contact of...

Homework Statement There are two spheres of equal radii. The bottom sphere is fixed in space. The other sphere purely(i.e. without slipping) rolls over the fixed sphere with constant angular velocity \omega 1 about its axis of rotation. Find the angular velocity of the axis of the rotating...

Angular velocity and vectors... Homework Statement Given the following vectors: \vec A=\hat i +\hat j - 2\hat k and \vec C=\hat j - 5\hat k Let \vec A and \vec C be drown from a common origin and let \vec C rotate about \vec A with angular velocity \vec w of 2 \frac{rad}{s}. Find...