Angular speed Definition and 267 Threads

Homework Statement The tires of a car have a radius of 31 cm. What is the angular speed of these tires when the car is driven at 12 m/s? Homework Equations w=θ/t The Attempt at a Solution θ=d/r θ=d/31

hi i have two different systems (i have tried to upload them but they both exceed the size of the upload limit). One is a dc motor block diagram (it has a PID at its controller) the other is a bldc motor model with a PID controller input. The block diagram of the DC motor consists of an armature...

A billiard ball is cued by striking it horizontally at a distance d=10mm above the center of the ball. The ball has mass m=0.2kg and radius r=30mm. Immediately after the strike, the center-of-mass of the ball moves with linear speed v=1m/s. Find the angular speed of the ball immediately after...

The angular speed of precession for a gyroscope is given by ω_{p} = T/ω_{g}. So that the rate of precession increases as the gyroscope, top, or wheel slows down. This agrees with observations of a top, which wobbles around very quickly as it slows down. If I hold a bicycle wheel in my...

Hello, I'm having difficulty with this problem. I'm assuming all the kinetic energy of mass m is transferred to rotational kinetic energy after the collision so 1/2 mv2 = 1/2 I ω2 where I is now Md2/12 + m(d/2)2 =3/4 md2 Solving, ω = 2v/√3d But the answer should be 2v/3d. Thanks!

Homework Statement A rod with one end fixed on a smooth hinge is shown below. The rod is released from horizontal position so that it rotates at the hinge. The mass of the rod is 800 gr and the length is 120 cm. Find: a. the initial angular acceleration (at A) b. the angular...

what is the angular speed limit, like linear speed limit is c?? does there exist an angular speed limit, just like we have 'c' in relativistic mechanics? If Yes, How? If No, Why?

A student is sitting on a frictionless rotating stool with her arms outstretched holding equal heavy weights in each hand. If she suddenly let's go of the weights, her angular speed will: A) increase B) stay the same C) decrease attempt: i think it's B because angular speed is V/r and...

Homework Statement 1. Homework Statement On a frictionless table, a glob of clay of mass 0.72 kg strikes a bar of mass 1.34 kg perpendicularly at a point 0.23 m from the center of the bar and sticks to it. If the bar is 1.22 m long and the clay is moving at 8.3 m/s before striking the...

Homework Statement An early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel, as in Fig. 10-29, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot...

Hello all! I have a question regarding how to get the linear and angular speed for this robot for example (RRP). http://img205.imageshack.us/img205/774/rrp.png I am given x and y or the hand, as well as theta (angle) If I were asked to calculate the linear. Do I derive x and y to...

Hi, We have been studying centripetal forces and accleration in my class, and my teacher has shown me how to derive centripetal acceleration as v^2/r using change in velocity over time. I recently got into angular velocity vs. linear velocity in my math class, and I know that angular...

Homework Statement A satellite is in elliptical orbit with a period of 8.00 x 10^4 s about a planet of mass 7.00 x 10^24 kg. At aphelion, at radius 4.5 x 10^7 m, the satellite's angular speed is 7.158 x 10^-5 rad/s. What is its angular speed at perihelion? Homework Equations...

Homework Statement A potter's wheel, with rotational inertia 6.40 kg * m^2, is spinning freely at 19.0 rpm. The potter drops a 2.80 kg lump of clay onto the wheel, where it sticks a distance of 47.0 cm from the rotation axis.Homework Equations I know I need to use angular momentum here, but I...

i am wondering if this is correct... The angular speed is always a smaller magnitude than the tangential velocity. This is because the tangential velocity has to travel a larger distance during the same amount of time as the angular speed. Tangential velocity is dependent on two things...

Homework Statement A uniform disk of mass 9.00m and radius 2.00r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity...

Homework Statement Consider a year to be precisely 365 days. Determine the angular speed of the Earth about the sun. If the Earth's mean distance from the sun is 1.496x1011 meters and our orbit is circular, determine our orbital speed about the sun. Homework Equations ω=Δθ/T, where ω is...

Homework Statement 11. A wheel with an angular speed of 2.0 rad/s is rolling on a horizontal surface and starts down a ramp. It rolls down the ramp with a constant angular acceleration of 2.5 rad/s2. If it takes 8 s to reach the bottom of the ramp, what is the final angular speed of the...

Homework Statement For some reason, I keep getting this problem wrong, could someone please look over it and tell me what I am doing incorrectly? Here it is: A student ties a 410.0 g rock to a 1.25 m-long string and swings it around her head in a horizontal circle. At what angular speed (in...

Homework Statement a ball moves at 5000 rpm (revolutions per minute). Their radius is 4 cm. (i)Determine the angular speed in radians per second. (ii) Find the period of rotation (iii) Find the linear speed of a point on the outer ball (iv) Find the linear acceleration of a point on...

Homework Statement A student ties a 400g rock to a 1.0m long string and swings it around her head in a horizontal circle. What angular speed does the string tilt down at a 10° angle? m = 400g = .4kg r = 1m Homework Equations F = \frac {mv^2}{r} \omega = \frac {|v|sin \theta}{|r|}...

Homework Statement A particle on a string at radius r=0.22m is moving in a (horizontal) circle with angular speed \omega =0.55 rad/s. The string is shortened to 0.15m. Show that the new angular speed is 1.18rad/s Homework Equations v = r\omega a = \omega^{2}r a = r\alpha...

Suppose there is a rotating wheel at constant angular speed, i.e, 1000 RPM (Revolution Per Minute). What is the torque of Earth at certain location? The equator should have the maximum torque value. I find the angular speed w by 1000 x 2Pi rad x 1 / 60s = 104.71 rad/s Assume M is the mass of...

Homework Statement In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 1.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as θ =2.50t2 - 0.600t3 where θ is in...

Homework Statement Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.8x10-8m, and a tangential speed at the rim of 1.8x10-5 m/s. (a) What is the angular speed (the magnitude of the angular...

Q 1:Consider a disk of radius R. This disk is rotating around its center with a constarnt angular speed of w. Find the necessary work to move a body of mass m radially with respect to the disk from r=a to r=b. Q 2:The Bernoulli equation for a unit mass can be written as gdz+1/2VdV+vdP=0...

A uniform rod of mass 2.95×10−2 kg and length 0.440 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.240 kg, are mounted so that they can slide along the rod. They are initially held by catches at positions a...

Homework Statement A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00m and a total mass of 140kg . The turntable is initially rotating at 2.00rad/s about a vertical axis through its center. Suddenly, a 65.0-kg parachutist makes a soft landing on the turntable at...

Homework Statement The problem: A merry-go-round has a radius of 1.40m and a mass of 125kg. You may consider the merry-go-round to be a solid disk. A 60.0kg student stands on the outer edge of the merry-go-round, 1.40m from the center(the axis of rotation). It takes 3.00s for the...

Homework Statement ok this is a little silly. An apparatus of the figure below is designed to study insects at an acceleration of magnitude 910 m/s2 (= 93g). The apparatus consists of a 2.0-m rod with insect containers at either end. The rod rotates about an axis perpendicular to the rod...

Homework Statement A long string is wrapped around a 6.3-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 2.0 m/s2 until 1.5 m of string has been unwound. If the string unwinds without slipping, what is the...

Homework Statement a 40kg duck walks from the outside to the inside of a rotating circular table of mass 100kg. if the rotational intertia of the table is 250kg*m^2 and the duck moves from a radius of 2.5m to 1.5m, find the final angular speed of the table if it rotates at 2.0rad/sec at the...

Homework Statement http://img577.imageshack.us/img577/5457/gmblrekp.th.jpg Homework Equations The Attempt at a Solution Proof was asked from me. How do i proof it. In "w^2 sub. uydu", uydu means satellite.

Homework Statement A 6kg disk with radius 0.3m initially not spinning. String is wrapped around disk, you pull with constant force of 25N through a distance of 0.6m. What is its angular speed. Homework Equations Krotational=1/2 I w2 The Attempt at a Solution I can't seem to...

Homework Statement A 1.80 m long thing rod is balanced vertically on its tip on the floor. It starts to fall and its lower end does not slip. What is its angular speed just before it hits the floor? Homework Equations 1/3ML^2 L=mvr The Attempt at a Solution When I first started...

Homework Statement A circular ring with a mass of 11 kg and radius of 0.66 meters is to roll without slipping about a vertical loop of radius 10 meters which is frictionless. If it is to just barely make it around the top of the loop, what must its angular speed be at the bottom of the loop...

1. Homework Statement Mars orbits the sun at a mean distance of 228 million km, in a period of 687 days. The Earth orbits at a mean distance of 149.6 million km in a period of 365.26 days. All answers should be in the range (0, 2pi) a) suppose Earth and Mars are positioned such that Earth...

Homework Statement A uniform-density 7 kg disk of radius 0.27 m is mounted on a nearly frictionless axle. Initially it is not spinning. A string is wrapped tightly around the disk, and you pull on the string with a constant force of 45 N through a distance of 0.9 m. Now what is the angular...

Homework Statement A biologist studying plant growth and wants to stimulate a gravitational field stronger than the Earth's. She places the plants on a horizontal rotating table in her laboratory (on Earth) at a distance of 42.3 cm from the axis of rotation. What angular speed will give the...

Homework Statement Use conservation of energy to determine the angular speed of a spool after the bucket(3.0kg) has fallen 4.00m, starting from rest. Homework Equations KE = 1/2mv^2 KEr = 1/2 * I * omega^2 PE - mgh The Attempt at a Solution i don't know how to start. I...

Homework Statement The top of a tower much like the leaning bell tower at Pisa, Italy, moves toward the south at an average rate of 1.4 mm/y. The tower is 59 m tall. In radians per second, what is the average angular speed of the tower's top about its base? Homework Equations...

I think I'm not understanding something about this problem. Can someone help me out? Homework Statement A 2.0 kg disk traveling a 3.0 m/s strikes a 1.0 kg stick of length 4.0 m that is lying flat on nearly frictionless ice. The disk strikes the endpoint of the stick, at a distance r = 2.0 m...

Homework Statement The system of small objects shown in the figure below is rotating at an angular speed of 2.0 rev/s. The objects are connected by light, flexible spokes that can be lengthened or shortened. What is the new angular speed if the spokes are shortened to 0.10 m? (An effect...

Homework Statement A car initially traveling at 33.8 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.330...

Homework Statement A rod of length L and mass M is pivoted about one end. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what is its angular speed w? Homework Equations Moment of Inertia...

Does the Earth's atmosphere match the angular speed of the Earth (i.e. is it stationary with respect to the Earth's surface, or is it "sliding" over the Earth's surface)? I'm trying to understand if the Coriolis effect that is creating the spiral pattern present in hurricane would be the same...

Homework Statement A student sits on a freely rotating stool holding 2 3.00kg dumbbells. When the students arms are extended horizontally the dumbbells are 1.00m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/sec. The moment of inertia of the student and...

Homework Statement Consider a particle of mass = 19.0 revolving around an axis with angular speed . The perpendicular distance from the particle to the axis is = 0.500 . Homework Equations I=mr^2 K=0.5Iw^2 The Attempt at a Solution I=4.75 K=1796 which is 0.5*4.75*27.5^2...

Homework Statement A thin metal disk of mass m=4.50 g and radius R=2.70 cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted by the fiber on the disk is proportional to theta. Suppose the disk is twisted...

A large turntable rotates about a fixed vertical axis, making one revolution every 5.00 s. The moment of inertia of the turntable about its axis is 1.10e+03 kgm2. A man of mass 85.0 kg initially standing at the center of the turntable runs out along a radius. What is the angular speed of the...