Angular velocity Definition and 866 Threads

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...

Homework Statement Suppose you were kidnapped and held prisoner by space invaders in a completely isolated room, with nothing but a watch and a pair of shoes (with shoelaces of known length). Explain how you might determine whether this room is on Earth or on the moon. Homework Equations...

Homework Statement A body with moment of inertia 20kgm^2 is rotating about a fixed axis with an angular velocity of w(t)= 3t^2-4 a. Through what angular displacement will the body move in the first 3 seconds b. What is the new torque exerted on the object at t=2 Homework Equations...

OK...this is a really trivial question, but I hope someone can help me here. I am working on building a segway-style robot that balances on two wheels, but I am having some difficulties integrating the data I receive from my gyro sensor. The sensor gives me the angular velocity, and I know...

Homework Statement A disk accelerates with a constant angular acceleration of 2.0 rad/s2. If the initial angular velocity is 5.0 rad/s, what is the angular velocity of the disk after rotating though an angle of 11.0 radians? a = 2 rad/s^2 vo = 5 rad/s Theta = 11 rad Homework...

Homework Statement A turntable rotates about a fixed vertical axis, making one revolution in 10s. The moment of inertia of the turntable about the axis is 1600kgm^2. A man, James Bond, of mass 120kg, is at the center of the turntable and begins to run out along a radius of the device. Treat...

Homework Statement Suppose we are in deep space and there's a particle of mass m and a sphere of radius R of mass M. Suppose also that the sphere is initially at rest while the particle is moving with a constant velocity v_0. The particle collide with the sphere in a position such that the...

This my first post on this very helpful forum. So are angular displacement, velocity, and acceleration actually vectors? My Physics book does not really give me a straight answer. Plus, if they are, why do they not have the classic vector notation of the arrow above \theta, \omega, and...

Homework Statement I'm working on a problem in which I have to calculate the centrifugal force. I know the equation and everything, I'm just stuck on what units my angular velocity should have. Homework Equations \vec{F_{cen}}=-m\omega\times(\omega \times r') The Attempt at a...

Homework Statement A rigid body is rotating about a fixed axis through the origin. The angular velocity is \omega\hat{k} where \omega is positive. What is the unit vector in the direction of the velocity of a point on the body located on the positive y axis? The Attempt at a...

Homework Statement Using your data from trial one, calculate angular velocity w, and angular acceleration, a My data from trial one is period of rotation=.791s Homework Equations w=(change in angle/change in time) a=(change in angular velocity/ change in time) The Attempt at a...

For a capacitor in an AC circuit, does \omega = \frac{1}{RC} always? I have voltages such as Vg = 2cos(105t) V. When finding the capacitance using the formula C = \frac{1}{jwc} would I use \omega = 105 or would I use \omega = \frac{1}{RC}?

Homework Statement A puck with mass 0.28 kg moves in a circle at the end of a string on a frictionless table, with radius 0.75 m. The string goes through a hole in the table, and you hold the other end of the string. The puck is rotating at an angular velocity of 18 rad/s when you pull the...

Homework Statement A disk is rotating freely at 1,000 revolutions per minute about a vertical axis through its center. A hoop with twice the mass of the disk and the same radius as the uniform disk is poised exactly above and is initially at rest. The hop is dropped gently upon the disk so...

Homework Statement A 6.90 coin is placed 13.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.740 and = 0.450. What is the maximum angular velocity with which the turntable can spin without the coin sliding...

Question: An Australian bushman hunts kangaroos with the following weapon, a heavy rock tied to one end of a light vine of length 2.0m. He holds the other end above his head, a point 2.0m above the ground level, and swings the rock in a horizontal circle. The cunning kangaroo has observed that...

A small 0.870-kg object moves on a frictionless horizontal table in a circular path of radius 7.80 m. The angular speed is 9.85 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins...

Homework Statement The minute hand of big ben is made of copper, has a length of 4.27 meters, and a mass of 101.6kg. The hour hand is made of gunmetal, has a length of 2.74m, and a mass of 304.8kg. Assume that each hand is a uniform rod and rotates about one end. Use a cartesian coordinate...

Homework Statement A hamster runs in its wheel for 4.5 hours every night. If the wheel has a 6.8 cm radius and its average angular velocity is 3.0 radians per second, how far does the hamster run in one night? Homework Equations angular velocity = ang displacement / time The...

A 40kg child takes a ride on a Ferris Wheel that rotates 4 times each minute and has a radius of 9m. I firgured that angular velocity is .419 rads/sec I figured that tangential velocity is 3.77m/sec I figured that centripetal acceleration is 1.58m/sec^2 Questions a)What force in N does...

Hi, I have a little problem. I recently got the nerve to try and teach myself all of the physical properties necessary to program a physics engine (the insomnia is a DIFFERENT problem). It's going much better than I could've hoped (considering I started a few days ago). My knowledge of physics...

Homework Statement A billiard ball is struck by a cue as is shown in the figure. The line of action of the applied impulse is horizontal and passes through the center of the ball. The initial velocity v0 of the ball after impact, its radius R, its mass m, the acceleration due to gravity g, and...

Homework Statement The radius of the Earth's very nearly circular orbit around the sun is 1.5*10^11. Find the magnitude of the Earth's angular velocity in rad/s. Homework Equations The Attempt at a Solution For this problem, I have no clue how to go about solving this. help would...

Homework Statement A runner of mass 51.0 kg runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the Earth has magnitude 3.60 m/s. The turntable is rotating in the opposite direction with an angular...

The mass of a star is 1.1e31 kg and its angular velocity is 1.40×10-7 rad/s. Find its new angular velocity if the diameter suddenly shrinks to 0.17 times its present size. Assume a uniform mass distribution before and after. [Icm for a solid sphere of uniform density is 2/5 mr^2]. i have to...

A large horizontal circular platform (M=120.1 kg, r=3.45 m) rotates about a frictionless vertical axle. A student (m=73.3 kg) walks slowly from the rim of the platform toward the center. The angular velocity w of the system is 3.9 rad/s when the student is at the rim. Find w (in rad/s) when the...

Homework Statement I have this pole with mass M and length L which is on a flat table with no friction. Another particle, which has the same mass M hits him on its edge with velocity V, which is vertical to the pole. then, the particle sticks to the pole and they move together. I need to...

Homework Statement Supposed that the mass of certain spherical neutron star is twice the mass of the sun (1.991*10^30) and its radius is 13.5 km. Determine the greatest possible angular speed it can have so that the matter at the surface of the star on its equator is just held in orbit by...

HELP!a question on angular velocity Homework Statement A horizontal cylindrical rod is free to rotate about a vertical axis perpendicular to its length through its centre of mass. two beads of mass m and 2m are each a distance l from the axis of rotation and are tied together by a light...

Homework Statement To throw the discus, the thrower holds the discus with a fully outstretched arm and makes one revolution as rapidly as possible to give maximum speed to the discus at release. The diameter of the circle in which the discus moves is about 1.7m. If the thrower takes 1.0s to...

Homework Statement Here's the problem statement, uploaded onto google docs: http://docs.google.com/View?docid=d277r7r_48f97jqsgs Homework Equations The Attempt at a Solution i) L=r*p L=R*m*v I think that's the answer, b/c they don't give us any constants to work with, but...

Homework Statement During startup of a power plant, a turbine accelerates from rest at 0.43 \rm {rad/s^2}.How long does it take to reach its 3200 \rm {rpm} operating speed? How many revolutions does it make during this time? Homework Equations The Attempt at a Solution