Angular velocity Definition and 866 Threads

Consider a rod AB rotating about one of it's end A with angular velocity w. Now angular velocity of each point of the rod is same i.e. w. But if we have to find the relative angular velocity of the end B w.r.t. mid point of rod, what it will be? Will it be zero because, w-w=0 or first we...

Consider the belt drives, the driven pulley: diameter d1, angular velocity w1 and the follow pulley: diameter d2, angular velocity w2. Assuming that the driven pulley rotate with a constant angular velocity and the belt does not slip on the pulleys, we have w1/w2=d2/d1, so w2 is constant(...

Homework Statement A massless rope is wrapped several times around a solid cylinder of radius R = 20 cm and mass M = 20 kg, which is at rest on a horizontal surface. Someone pulls 1 m of the rope with a constant force of 100 N, setting the cylinder in motion. Assuming that the rope neither...

Homework Statement A ball with the mass m is attached to a rod, suspended by two strings both with lengths L. The rod is rotating with the angular velocity ω and the ball rotates with it in such a way that the strings are taut and the ball moves in a circular pattern. I tried to draw it on my...

I would like to calculate the change in linear position of a point on a bar whose center of mass is changing as the bar rotates. Assume an angular velocity of pi-rad/s, a negligible mass for the bar, and a mass of 1-kg for the weight (which is what is moving and causing the center of mass to...

Homework Statement Two supports Support1 and Support2 turn at w clockwise around a fixed axis. On the Support1 there is the Pulley1 with a radius 3R, the Pulley1 can turn around an axis fixed on the Support1. On the Support2 there is the Pulley2 with a radius R, the Pulley2 can turn around an...

Let w = (w1, w2, w3) wrt to the body frame of a rigid body, where the body frame is right-handed orthonormal. I have gathered 2 definitions of w from different sources and I am confused at how they connect to one another. One is that the RB rotates about w through its CoM at rate abs(w), the...

Homework Statement A uniform disk of radius R=1m rotates counterclockwise with angular velocity ω=2rads/s about a fixed perpendicular axle passing through its center. The rotational inertia of the disk relative to this axis is I=9kg⋅m2. A small ball of mass m=1 is launched with speed v=4m/s in...

Hi all, If anything here is incorrect or confusing or seems trivially simple, I apologize: I'm not a physicist and created an account specifically to get help on this from some people who are! My question is this: Assume a plane has a constant airspeed and you wish to fly a circular pattern...

Homework Statement Which statement concerning a wheel undergoing rolling motion is true (a) The angular acceleration of the wheel must be zero m/s2. (b) The tangential velocity is the same for all points on the wheel. (c) The linear velocity for all points on the rim of the wheel is non-zero...

Hello, I'm currently writing a high school academic paper on waterwheels. One of the things I want to find out is whether the angle of paddles of the undershot waterwheel affects the angular velocity. So here is my question: How do the different angles of the paddles in a waterwheel affect...

Homework Statement Please see attached document. Homework Equations How do I find the angular velocity because I got a value of of -99.1? The Attempt at a Solution I used the force equation for M1 and M2. So Fx for M1: Fx= T-um1g=m1a. Fx for M2: Fx= m2gsin(theta)-T-um2gcos(theta)=m2a. Since...

In S.H.M omega denotes?I am really confused where to put pi=3.14 and where to put pi=180 degrees.In one question while solving for omega when Time period is given from formula T=2pi/omega i took pi=3.14 and got right but in other question in similar situation i.e solving for omega when Time...

Homework Statement An object whose moment of inertia is 3.00kgm2experiences the torque shown in the figure (Figure 1) . What is the object's angular velocity at 2.80s ? Assume it starts from rest. http://session.masteringphysics.com/problemAsset/1073771/4/knight_Figure_13_21.jpg Homework...

So I'm upgrading my Physics Engine's Collision response system (don't worry, this is a pure physics question, no programming involved! Also don't worry about the time of collision, my collision detection system is separate and returns a time of collision for the response system to work with) and...

Homework Statement A ball with radius, R, and moment of inertia, I = 2/5 mR2 is rolling on a horizontal plane with angular velocity ω0. At point A the ball rolls onto an incline with the angle θ wrt the horizontal plane. No air resistance and ω0R = V, where V is the velocity of CM. What is the...

Homework Statement Two particles, each of mass m, are attached one to each end of a diameter PQ of a uniform circular disk, of mass 4m, radius a with its centre at O. The system is free to rotate about a horizontal axis through A, a point on PQ such that OA = b as indicated in the diagram...

I've spent at least an hour trying to figure this out, but can't seem to figure out how to solve this. 1. Homework Statement A 170g , 30.0-cm-diameter turntable rotates on frictionless bearings at 66.0rpm . A 25.0g block sits at the center of the turntable. A compressed spring shoots the block...

Homework Statement During a sustained wind the blades on a two blade horizontal–axis wind turbine is turning with an angular velocity of 5 rad/s. If initially the blades have an angular velocity of 2 rad/s, determine the distance point P on the tip of the blade has traveled in 3.0 seconds...

Homework Statement Stacy is throwing a discus. During the throw, she applies an average torque of 90Nm to the discus for 0.3 seconds. The discus has a mass of 1.0kg, and has a radius of gyration of 0.1m about its spin axis. If the initial angular velocity of the discus was zero, what was the...

Hello, this is a question regarding planar physics. Suppose we have multiple bodies. We can ignore their individual shape and angular speed. So every body is represented by it's position, mass and moment of inertia about it's center of mass. Now my question is, how to calculate the moment of...

Homework Statement A physics student is sitting on a rotating platform. He is holding a heavy weight in each of his outstretched hands. At request of his physics instructor(!) he carries out various manoeuvres to try to change his angular velocity. Which of the following scenarios are described...

Greetings all, I have been pondering this for a few days and cannot come to a conclusion. Suppose you have Frame-F with basis vectors I, J, & K. Also suppose you have Frame-B (basis vectors i, j, and k) which is rotating w.r.t. Frame-F. In such a case: i = (cos Θ)I + (sin Θ)J j = -(sin Θ)I...

Homework Statement The average car today has a mass of 1100 kg, and when accelerating from rest, covers 0.25 miles in 15 seconds. Each rim and tire together has a diameter of 46 cm and a mass of 9.1kg. If we agree the rim and tire have the shape of a solid disk that rotates through its...

1. The problem statement & given/known data A neutron star is a collection of neutrons bound together by their mutual gravitation. The density of such a star is comparable to that of an atomic nucleus (10^17 kg/m^3). a) Assuming the neutron star to be spherical in shape and of uniform mass...

I am so confused by this question. I do not have a clue what I am supposed to do here. Can you please help?? [1pt] For each ith revolution, at what time point does the disc reach its average angular velocity? For example, for the 10th revolution what is the total elapsed time from the...

Homework Statement A police car is parked 50 feet away from a wall. The police car siren spins at 30 revolutions per minute. What is the velocity the light moves through the wall when the beam forms angles of: a) α= 30°, b) α=60°, and c) α=70°? This is the diagram...

Homework Statement To go from Euler's theorem : to angular velocity as shown: Homework EquationsThe Attempt at a Solution I'm curious how to begin. I can not see the connection! I know w = dtheta/dt, but not sure how to approach this. It has to be more than just differentiate the first...

Homework Statement I am given this graph and asked to find: a. the particle's angular velocity at t=1s b. angular velocity at t=4s c. angular velocity at t=7s Homework Equations ω = θ/t The Attempt at a Solution I got 0 for a, which is the correct answer. However, I cannot...

Hello! I'm pretty much translating this question word by word, so if you have problem understanding something off of it, please, let me know and I'll try explaining it better. Homework Statement Two masses of similar mass M are connected by a rod of length 2a. the rod is rotating on a...

I calculated a, b, and c, I just need help with d. 1. Homework Statement [/b] The operation of a "reverse" three-speed automotive transmission is illustrated the in figure. Each of the gears rotate about a fixed axis. Note that gears A and B, C and D, E and F are in mesh. The radii of...

1. Here is the equation http://i.imgur.com/EKdWnws.png 2. The attempt at a solution The first part I've done correctly. So here's my thought process: To get the period I used T=2 * pi * sqrt(r3 /GM_E) T=5521s W(angular velocity)=2pi/T W=1.138*10-3 rad/s V=WR where r is 6754000m...

Homework Statement A pendulum consists of a disk of mass M1, and a slender rod of M2 (which happens to be 0kg),. Determine the components of reaction that the pin O, exerts on the rod just as it passes the horizontal postion, at which time its angular velocity is ω. Know we know M1 =...

Hi there, I have been given this question, and I have not even the slightest of clue's where to start. I know angular velocity is equal to ω=v/r But besides that I have no idea. Where can I start?

As far as I understand a rod that has an angular velocity is static. Nonetheless, if we analyze a particle in the rod, this particle will be subject to a centripetal force that will be proportional both to the angular force and radius. Now I understand that the external forces and momenta...

Homework Statement There is a point particle on the edge of a merry-go-round. It has mass 15kg and the merry-go-round has mass 235kg. The initial angular momentum is 2 radians per second. If the point particle moves from the outer edge of the merry-go round to the centre, what is the final...

Homework Statement To understand the question first see the attachment (picture). The ball hits the rod and then it sticks to the end opposite the pivot. So now what is the angular velocity (ω) just after collision. Homework Equations 1/2m_1v_1^2 + 1/2 I_1ω_1^2 = 1/2mv^2 + 1/2 Iω^2...

Homework Statement A solid disk is spinning around it center with an angular velocity of 35.0 rad/s. The disk has a mass of 3.6kg and a radius of .50m. You drop a thin ring with the same radius and a mass on the disk along the same center of rotation. What is the angular velocity of the...

Let's say i spin an object around me with a greate velocity. At some point, i leave that object and it moves in a straight direction with a velocity of 0.9c. If so what was its velocity while it was revolving around me? How do i experes it?

Hi pf, I have been looking at previous threads and internet sites and I am still a bit confused when you use the term angular frequency as oppose to angular velocity and vica versa. For example, if you are looking at the oscillation of a spring then the equation for the instantaneous...

Homework Statement The atoms in the oxygen molecule [O][/2] may be considered to be point masses separated by a distance of 1.2 x 10^-10 m. The molecular speed of an oxygen molecule at s.t.p. is 460 m/s. Given that the rotational kinetic energy of the molecule is two-thirds the of its...

Hi, If I put an 8 tooth on axle A and meshed a 12 tooth on axle B then I put a 16 tooth on axle A and meshed a 20 tooth on axle B but the 16 and 20 have the equivalent angular velocity/tooth profile will it rotate properly or will it jam due to the two gear sets going at different speeds...

Theoretical question about a bar spinning with unlimited angular velocity. Lets imagine we have a bar of indestructible metal and we attach this bar onto a motor which is capable of an infinite number of rpm. We have a dial next to the motor that allows us to increase the rpm of the motor. We...

Could someone explain how angular velocity points perpendicular to the plane of rotation? I mean what is a physical explanation of this? (not mathematical) I mean for a rotating object it's easy to see that is has a tangential velocity that always points tangential to the direction of...

Homework Statement A homogeneous cube of sides l is initially at rest in unstable equilibrium with one edge in contact with a horizontal plane (θ = 45 degrees initially). The cube is given a small angular displacement and allowed to fall. What is the angular velocity of the cube when one face...

V = ωr V= velocity ω = angular velocity r = radius How is the direction of ω perpendicular to the plane of rotation? Is the formula ω = vsinθ χ 1/r which is the cross product of vsinθ and 1/r the reason why ω is perpendicular to the plane of rotation?

A uniform Steel wheel of diameter, D=3m and mass, 8500kg is supported by a low friction bearing, shown as the large black spot in the drawing. Around the outer surface of the wheel, a light wire rope is wound. From the end of this wire rope, a mass, M=1000kg is attached Initially, both the...

Homework Statement A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end. I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...

Homework Statement The block at C is moving downward at vc = 4.8 ft/s. Determine the angular velocity of bar AB at the instant shown. Homework Equations x = cross product r = distance to point from frame of reference Boldface will indicate vectors v = ω x r vB = vA + ω x rB/A =...

This is not schoolwork. Imagine that light did not have a constant speed, but behaved in the manner expected from experience. Namely, if the source of the light is rushing toward you, the light will approach you faster; if the source is rushing away from you, the light will approach you slower...