Angular velocity Definition and 841 Threads

a) I converted 33 km/h ---> 33/3.6=9.16m/s 9.16/0.5=18.33 rad/s b)2*1/2(1200kg)(18.33)^2=403186.68 J

Homework Statement Homework Equations The Attempt at a Solution How are their angular velocities the same? I thought Angular velocity = v/r where v = velocity and r = radius. In this case isn't the radius of big ben much larger and therefore have a much smaller angular velocity?

Homework Statement A 550.0g bird is flying horizontally at 2.20m/s , not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0cm below the top. The bar is uniform, 0.730m long, has a mass of 2.20kg , and is hinged at its base. The collision stuns the...

Homework Statement A uniform rod of length L rests on a frictionless horizontal surface. The rod pivots about a fixed frictionless axis at one end. The rod is initially at rest. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at...

A cat swipes at a spool of thread, which then rolls across thefloor with an initial speed of 1.5 m/s. The spool deceleratesuniformly to a stop 3 m from its initial position. The spool has aradius of 1.5 cm and rolls without slipping. a) What is the initial angular velocity? 1.5...

Homework Statement A small 13.0g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass 65.0g and is 120cm in length. The...

Homework Statement The cart has a velocity vc = 3.4 ft/sec to the right. Determine the angular speed N (positive if counterclockwise, negative if clockwise) of the wheel so that point A on the top of the rim has a velocity (a) equal to 3.4 ft/sec to the left, (b) equal to zero, and (c) equal...

Homework Statement Point A is given a constant acceleration a to the right starting from rest with x essentially zero. Determine the angular velocity w of link AB in terms of x and a. I have attached an image of the question Homework Equations w = θ' α = θ'' Pythagoras and trig...

In the figure, two particles, each with mass m = 0.79 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.9 cm and mass M = 1.2 kg. The combination rotates around the rotation axis with angular speed ω = 0.32 rad/s. Measured about O, what is the...

this is another conceptual question, so sorry for not following the template. I thought that angular frequency and angular velocity shouldn't be the same thing, but after going through some of the forum threads, there was the idea: "the only difference between angular frequency and angular...

Homework Statement I have found the question I am having trouble with here: http://www.chegg.com/homework-help/questions-and-answers/block-mass-m-rest-surface-incline-adistance-h-10cm-base-height-incline-ish-50cm--coefficie-q218123 Homework Equations See below The Attempt at a Solution After...

A machinist turns the power on to a grinding wheel, at rest, at time t = 0 s. The wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 69 rad/s. The wheel is run at that angular velocity for 33 s and then power is shut off. The wheel decelerates uniformly at 2.9...

Let a particle of mass m be rotating in a circle, radius be r, axis of rotation through the center and perpendicular to the plane of motion. Now if the radius is made decrease somehow at some rate until it get's zero, how do I find the rate of change in angular velocity? Also, the angular...

I have to do these 2 problems for homework, but I can't figure them out. Any help would be appreciated. 1. The motorcycle is traveling at 1m/s when it is at A(the origin). If the speed is then increased at \dot{V} = .1 m/s^2, determine its speed and acceleration at the instant t = 5 seconds...

Hi all, I built an electric paper airplane launcher and I'm trying to figure out how much force or thrust is being applied to my paper airplane when it's launched. The setup looks like this: The discs are 124mm in diameter, are spinning at approximately 5800 RPM each, and are about...

The telescopic boom of a crane rotates with the angular velocity and rotation as indicated about point $A$. At the same instant, the boom is extending with a constant speed of 0.5ft/s, measured relative to the boom. Determine the magnitude and acceleration of the absolute acceleration of point...

Hello, I am currently making a video game and have run into a bit of a physics problem. I have taken two semesters of physics in college (wasn't too great at it) so I know how to do simple things. I am currently trying to turn an angular velocity into a 3D torque. The angle is a Euler vector...

[SIZE="4"]Homework Statement [From Serway College Physics; Ch 8, problem 52] Use conversation of energy to determine the angular speed of the spool shown in the figure after the 3.00 kg bucket has fallen 4.00 m, starting from rest. The light string attached to the bucket is wrapped around the...

A wheel has angular position theta = 0 (radians) at t = 0 (seconds). It then rotates with an angular velocity equal to .72t radians/sec. In radians per second, what is the average angular velocity from theta = 4 radians to theta = 9 radians? I got 3 for my answer but I'm not sure if it's right

Homework Statement I don't know how to solve part(b). See the photo Q3 for the question. Homework Equations The Attempt at a Solution See the photo 2010Q3 I found the torque and hence the new angular momentum vector. But I wonder how could this help me to find the angle...

Homework Statement All data is in the attached image. The lower pulley has rotation velocity of 0.6 rad/s but I don't understand why. Both pulleys have same radius and the same rope passes through both of them so why are their velocities different? Homework Equations ω = v/r The...

1. There is a Rectangle (shape could change), and a force like F, that effect the rectangle at point P on its surface. i don't know how the shape will move after impulse, the center of mass is CM, the center of rotation is CR, the shape mass is m. I'm really sorry to ask a question like this...

Homework Statement The flywheel is rotating with an angular velocity of = 6.8 . Determine the angular velocity of rod at the instant shown. http://postimage.org/image/lfypabekb/ Homework Equations (1) V_B= ω x r (2) V_C= V_B + ω x r_C/B The Attempt at a Solution I do...

Homework Statement A thin, uniform metal bar, 3m long and weighing 75N, is hanging veritcally from the ceiling by a frictionless pivot. Suddenly it is struck 1.3m below the ceiling by a small 2 kg clay ball, initially traveling horizontally at 14m/s. The ball sticks to the bar Find the...

Homework Statement In the figure a spherical non spinning asteroid of mass M = 4E16 kg and radius R = 1.5E4 m moving with speed v1 = 2.4E4 m/s to the right collides with a similar non spinning asteroid moving with speed v2 = 5.9E4 m/s to the left, and they stick together. The impact parameter...

A merry-go-round consists of a flat circular disk mounted on a bearing at the center allowing it to freely rotate. Consider a mass-less merry-go-round with a 4 meter diameter. Initially a 30kg child sits at the east edge of the stationary merry-go-round. A second child with a mass of 40kg runs...

Could a small black hole achieve an angular velocity such that the centripetal force is >= gravity, which would expand it enough to turn into a quark star or neutron star? I realize that in order to rotate the black hole further, more mass must be added that will increase the amount of...

Homework Statement A ball of mass m is attached by two strings to a vertical rod. as shown in the diagram attached. The entire system rotates at constant angular velocity ω about the axis of the rod. a)Assuming ω is large enough to keep both strings taut, find the force each string exerts...

I am not clear about the concept about relative angular velocity. So i can't solve the first question please help me

Homework Statement Homework Equations Inertia about pin = ml^2/3 Work done by rotation = M*theta = 0.5(Inertia about pin) *ω2 The Attempt at a Solution I tried two different methods and both came out to be the same answer. However they did not correspond to any of the multiple...

Homework Statement a laboratory centrifuge has rotor radius (from center of rotor to sample) of 12.0 cm and typically spins at a rate of 2000 rpm. When switched off, it turns through 50.0 revolutions in coming to rest. Find the value of its average angular acceleration.Homework Equations The...

In particular I am only looking at part c. I know the simpler approach is to use energy. But I am thinking if i can do an integration of all the torque throughout the process, and hence find the integration of the net angular acceleration and find the resultant change in angular velocity...

This is my first post on here so let me know if I need to provide more info. Homework Statement A proposed space station includes living quarters in a circular ring 52.5 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do...

Homework Statement At t=0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by theta(t)=246t-20.6t^2-1.47t^3 Calculate the average angular velocity for the time period from t=0 to the time calculated when the angular velocity of...

I've been working on problems that deal with pendulums and I've noticed that a few of my answers require me to find the angular velocity, frequency, period of a pendulum. I managed to get the answer right every time, but there's a step that I didn't understand, namely converting angular...

Homework Statement Consider four situations: I) a fan's rotation is speeding up while going in the clockwise direction; II) it is speeding up while going in the counterclockwise direction; III) it is slowing down while going in the clockwise direction; and IV) it is slowing down while going...

a cylindrical can with mass = 3kg is elevated from a trough at point X that is at the 0 degree mark on a circular ramp with radius .6m. The can is elevated by a rotating rod moving at a constant 0.5 rad/s. determine the force on the can when θ =30 degrees. The distance r from the pivot of...

[SOLVED]Angular Velocity of a Nebula Accretion Disk [SOLVED] According to astronomy our solar system was created about 4.5 billion years ago when the nebula of an exploded supernova accreted to form a stellar mass known as our sun. They say that this "accretion disk" or mass of clumping...

Consider the problem of a particle sliding inwards with a constant speed c and starting at radius R=pc/Ω, on a platform rotating with a constant angular velocity Ω. Give a plot of the trajectory of the particle from r=R to r=0, for p=0.5, 1, 2, 6. I'm a little confused on how to do this...

Homework Statement Small object of mass m is placed on the inner surface of the conical dish which can rotate with angular speed ω. For μ=0.3 calculate the minumum and the maximum ω such that the object is remains at rest. Solve the problem using the indicated axes x-y. Do the following...

Homework Statement The Attempt at a Solution Do note I switched up the i, j and k vectors. I am getting half the answer correct. -7.2 is correct according to the answer key but my other solution -3.24 is clearly wrong. Does anyone know what I did wrong? I tried to be neat as...

Hey, I am trying to solve the following problem: va=vr+ ω × rra vb=vr+ ω ×(rra+rab) vc=vr+ ω × (rra+rac) I know the vectors va, vb, vc, rab and rac and I want to know the angular velocity vector, the radius rra and the velocity vr. Physically it means that I know 3 points on a rigid...

Hi there, I've got these questions to do, and I've looked at the formulas and can't seem to plug in the numbers with the values I've been given. I think I'm missing something somewhere, if someone could just start me off, or be so kind as to go through the method so I know for the future...

Hi guys, I'm stumped on just one question and not sure where to go with it now. Any help would be greatly appreciated... Question: Calculate the angular acceleration and angular velocity of a 2kg object rotating in a circle of 1.5m radius in a time of 3s. My first answer i realize now...

Homework Statement a homogeneous rod of length 2l and mass M can turn without friction in a horizontal plane and about a fixed vertical axis O through the center of mass of the rod. initially, the rod is at rest. A particle of mass m collides in a short, completely elastic collision with one...

I am doing an experiment involving determing the angular velocity of a homopolar motor (simple set up of the screw, battery, magnet and copper wire) and was wondering what the limiting factor on the speed would be. One website suggests that this might be back emf.

Homework Statement A turntable has a radius of 0.80 m and a moment of inertia of 2.00 kg • m2. The turntable is rotating with an angular velocity of 1.50 rad/s about a vertical axis though its center on frictionless bearings. A very small 0.40-kg ball is projected horizontally toward the...

This topic is to do with circular motion..angular velocity. I have just begun this chapter in my a2 physics, and I don't really understand why the tip moves faster than the one near the centre. I understand it through calculations(using the different length of radius and then ω/angular...

HI there. Some days ago, whyle studying vector mechanics I came across with a rather dazzling doubt. Why isn't there angular velocity and accelaration in a curvilinear translation? Imagine, a small planet in a perfect circular orbit around a star. Let's say, the planet has no form of...

Homework Statement The graph shows the angular velocity of a rotating wheel as a function of time. https://online-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/Phys1201/summer/homework/Ch-10-Rotation/ang_vel_graph/omega_vs_t-2.jpg What is the angular displacement of the...