Angular velocity Definition and 866 Threads

Homework Statement The flywheel of a steam engine runs with a constant angular velocity of 180 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.5 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel...

Homework Statement A solid body rotates with deceleration about a stationary axis with an angular deceleration \beta \propto \sqrt{\varpi} , where \varpi is the angular velocity. Find the mean angular velocity of the body averaged over the whole time of the rotation if at the initial moment...

Homework Statement A shell acquires the initial velocity v = 320m/s, having made n = 2.0 turns inside the barrel whose length is equal to l = 2.0m. Assuming that the shell moves inside the barrel with uniform acceleration, find the angular velocity of its axial rotation at the moment when the...

Homework Statement I'm trying to create a graph showing the relationship between radius and angular velocity for a toriod space station that maintains a constant angular acceleration of Earth's gravity (9.8 m/s^s) on it's rim. Homework Equations ac = r\omega^2 The Attempt at a Solution...

Homework Statement You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. You find the arrow stuck in the ground 57.0m away, making a 2.00° angle...

Alright, so I am a programmer. I am writing a physics engine for a project at school and I am having a lot of trouble understanding rotational physics. As of now, the tools I have to work with are the point of collision for an object, it's velocity, it's acceleration (gravity), and it's center...

Homework Statement A merry-go-round is a common piece of playground equipment. A 2.85 m diameter merry-go-round with a mass of 212.0 kg is spinning at 22.5 rpm. John runs tangent to the merry-go-round at 5.76 m/s, in the same direction that it is turning, and jumps onto the outer edge...

This is a statement in my book - "The relative velocity of a satellite moving in the direction of Earth's rotation (for an observer on earth) is given as Vs - Ve." We always define relative velocity of a particle say P in a frame of reference S1 accelerating w.r.t to an inertial frame of...

Homework Statement This problem is for a cordless drill. http://img718.imageshack.us/img718/8531/drill1.jpg Homework Equations [PLAIN][PLAIN]http://img442.imageshack.us/img442/3511/drill2.jpg where N denotes number of teeth w denotes angular velocity The Attempt at a...

Homework Statement A 5.10 coin is placed 16.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.810 and = 0.510. What is the maximum angular velocity with which the turntable can spin without the coin sliding...

1. Homework Statement [/b] The operation of “reverse” for a three-speed automotive transmission is illustrated schematically in the figure. If the shaft is turning with an angular velocity of Wg= 30 rad/s, determine the angular velocity of the drive shaft H. Each of the gears rotates about a...

1. So this is one of my homework problems and I just can't seem to get it, and my attempts are verging on pathetic. I feel like this shouldn't be this hard, maybe I'm just missing something. This is the acceleration vs. time graph...

Homework Statement There are two coordinate frames i.e. frame A and frame B. The relationship between them is that frame A is rotated w.r.t to frame B . This relationship remains fixed i.e. rigid body. This rigid body relationship is given by rotation matrix R_BA which transforms the vector in...

Homework Statement radii R₁, R₂, angular velocity ω₁, ω₂ Homework Equations Two particles 1 and 2 describe co-planar concentric circles of radii R₁ and R₂ with angular velocities ω₁ and ω₂ as shown in the figure. Find the angular velocity of A with respect to B. The Attempt at a...

Homework Statement A ring of mass m free to slide on a fixed smooth horizontal wire is attached to one end of a string of length 60cm. The other end of the string is attached to a particle of mass 2m. The ring and the particle are initially held at the same horizontal level with the string...

Homework Statement Show, by conservation of energy, that when a length, L, of string has unwound that a yo-yo is spinnning with angular velocity Remember the yo-yo has both linear and rotational velocity Homework Equations \omega= \sqrt{}gL/R^{2} The Attempt at a Solution I do...

Homework Statement http://img707.imageshack.us/img707/2066/question3.jpg Homework Equations v = r' \hat{r} + r*θ' (^θ) The Attempt at a Solution I was sure I knew how to do this question but made a mistake somewhere, because my answer is not right. So here is my working out. l r' l =...

If so, wouldn't gamma would be like? (1 - w^2 / c^2)^-1/2 or (1 - v^2 / r^2c^2)^-1/2

Homework Statement At the instant shown in the figure , the crane's boom has an angle = 33.0 and rotates around the vertical axis with angular velocity = 8.00×10^−2 radians/s that increases at the rate = 7.00×10^−2 radians/s^2. At the same instant, the crane's boom is rotating upward...

Can anyone explain why angular velocity is perpendicular (or goes up and down) to the circular motion I know that angular velocity measures the change angle over time, so wouldn't that mean the angular velocity is parallel to the circular motion since the angles are measured parallel to the...

Been sick for a bit so missed a fair bit of "advanced" maths including locuses, particularly parabolas, but what's worrying me more at the moment is dynamics. So got a moderately difficult question here to help catch me up. I don't really comprehend any of the rules and this question is tricky...

Homework Statement A 7kg plate with a radius of 1.4m is rotating at 63 rad/s around an axis perpendicular to its center. Another plate that is not rotating is dropped onto the first plate and their centers align. The second plate is 5kg, with a radius of .8m. What is the angular velocity of...

I'm thinking of making an electricity generator which is rotated by hand, or possibly something like wind, or gerbils on a treadmill etc etc.. Anyway, the current and emf produced would vary depending on the velocity at which the generator is turned, correct? I therefore need a way of keeping...

Can anyone explain to me how angular velocity (w) = 2pi(f) -->where f = frequency. This is not a homework question involving numbers. I'm reading a section on "the period of sinusoidal Nature of SHM" and I don't understand how they get this equation.

Homework Statement Compute the angular velocity (ω) when the arm reaches 45 degrees equation = ω^2 = ωi^2 + 2α(Δθ) α = 196.85 Homework Equations equation = ω^2 = ωi^2 + 2α(Δθ) The Attempt at a Solution 2(196.85)(45) ?? what do i use for ωi^2? or is it just 0

Homework Statement In the Bohr Model of the Hydrogen Atom, a single Electron orbits a circle round a single stationary Proton. If the radius of the electron's orbit for its lowest energy state (the "ground state") is 5.3x10^-11m, find the the constant speed, v , of the orbiting electron...

Homework Statement The attempt at a solution I think the answer is (b) because an increase in mass would cause an increase in inertia of Earth. This would decrease the velocity of Earth, and since velocity is proportional to angular velocity, both would decrease. Am I right?

There is a cross shaped object with masses on each arm, the arms are different lengths and they are perpendicular to each other. the longer rod, (7m radius from center) has two 12kg masses, one on each end. The shorter rod (3.5m radius from center) has two 24kg masses one on each end...

Homework Statement Use conservation of energy to determine the angular speed of the spool shown in the figure below after the 3.00 kg bucket has fallen 3.90 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds. relevant...

Homework Statement Suppose a record turntable rotates at constant angular velocity. a) Does a point on the rim have radial and/or tangential acceleration? b) If the turntable's angular velocity increases uniformly, does the point have radial and/or tangential acceleration? c) For which...

Homework Statement I am studying for my physics test on tuesday and i came across this problem and i thought i got it right after i worked through it but it was wrong. A playground merry-go-round is at rest, pivoted about a frictionless axle. A child of mass 40 kg runs along a path...

Homework Statement As part of a senior design project, I am trying to figure out the global orientation of a gyroscope (i.e. the three angles of rotation around the global X, Y, and Z axes to realign the local x, y, and z axes of the gyro with the global axes). The gyroscope gives the...

Homework Statement A uniform sphere of mass m and radius R rotates around the vertical axis with angular speed \omega. Two particles of mass m/2 are brought close to the sphere at diametrically opposite points, at an angle \Theta from the vertical. The masses, which are initially essentially...

Homework Statement A 200 g, 42.0-cm-diameter turntable rotates on frictionless bearings at 56.0 rpm. A 20.0 g block sits at the center of the turntable. A compressed spring shoots the block radically outward along a frictionless groove in the surface of the turntable. What is the...

what is angular velocity? would be pleased if someone helped.

Homework Statement I had a physics lab and we found the 3 trials of revolution in 2 min then the result came as 1st=344rev 2nd=332rev 3rd=330rev (These numbers is from the calculation of Final (2min) - Initial start) Then it asked to find the average angular velocity for three of...

A uniform rod of mass 0.62 kg is 6 m long. The rod is pivoted about a horizontal, fric- tionless pin at the end of a thin extension (of negligible mass) a distance 6 m from the cen- ter of mass of the rod. Initially the rod makes an angle of 48◦ with the horizontal. The rod is released...

where x represents cross product currently if i forget i figure these out using the right hand rule, but how do you get each equation visa versa using vector algebra i started with w = rxv how do you derive that v = wxr i got up to this w = rxv w= -(vxr) rxw = -rx(vxr) rxw =...

Homework Statement Which is equal to zero if angular velocity is constant, normal or tangential acceleration? The one with zero angular velocity is a crank. The crank moves at a fixed point. Homework Equations The Attempt at a Solution

If we have a bar AB which can rotate about A and there is a force applied on AB, make it rotate. Is there any formula for us to calculate the angular velocity of this bar?

Homework Statement a small puck of mass .5kg is executing Uniform constant motion on a friction free horizontal table. The angular frequency of the puck is 10 sec-1 (counter clockwise) and the radius of the circular motion is .8m. the radius stays fixed as the student holds the string in...

In an example question the revolutions per minute where 500rev/min. The question asked how many revolutions the disk makes in 5.5s. The solution started with the formula w=w_o+\alpha t I'm wondering why one can't just convert rev/min into raidans/sec and multiply that number by 5.5s? kind of...

I have a problem, I am a video game programmer. I have a car that bump into objects. At a given time I want it to stop to rotate in any direction. But the angular velocity still continue. Any idea how to conter the angular velocity?

Homework Statement A certain yo-yo can be modeled as a uniform cylindrical disk with mass M and radius R and a lightweight hub of radius ½R. A light string is wrapped around the hub. (a) First, the yo-yo is allowed to fall. Find the angular velocity of the yo-yo when the string has...

I think I've gotten it but figured it would be best to get a second opinion because I feel like I made a few leaps of faith. I sincerely appreciate your time. <3 Homework Statement A 1.0 kilogram object is moving horizontally with a velocity of 10m/s, when it makes a collision with the lower...

Homework Statement A thin, slender rod with mass m and length L is held in a vertical position, the height h over a solid table. The rod is dropped and the end of the rod strikes the corner of the table. The rod begins a rotation around the corner. a) Is linear momentum conserved...

angular velocity --velocity conversion I am a bit confused about angular velocity --velocity conversion . I thought of a problem in my mind which is as follows There is a particle moving with velocity v in certain direction as shown in the figure.and I want to calculate the angular...

Homework Statement If V= Sin[wt] where w = angular velocity t is time in radians How do you find RMS Voltage Does RMS voltage depend on angular velocity of sin wave? Homework Equations The Attempt at a Solution i integrated from 0 to PI radians and left with a sin...

hi, i am trying to solve this question. A thin stick of mass M = 4.9 kg and length L = 2.6 m is hinged at the top. A piece of clay, mass m = 1.0 kg and velocity V = 4.9 m/s hits the stick a distance x = 2.20 m from the hinge and sticks to it. What is the angular velocity of the stick...

Homework Statement The block moves to the left with a constant velocity v. a)determine the distance x as a function of Q . b)determine the Angular velocity as a function of Q c)determine the Angular acceleration as a function of Qhttp://img98.imageshack.us/img98/3691/16293179.jpg Homework...