Angular acceleration Definition and 566 Threads

In physics, angular acceleration refers to the time rate of change of angular velocity. As there are two types of angular velocity, namely spin angular velocity and orbital angular velocity, there are naturally also two types of angular acceleration, called spin angular acceleration and orbital angular acceleration respectively. Spin angular acceleration refers to the angular acceleration of a rigid body about its centre of rotation, and orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.
Angular acceleration is measured in units of angle per unit time squared (which in SI units is radians per second squared), and is usually represented by the symbol alpha (α). In two dimensions, angular acceleration is a pseudoscalar whose sign is taken to be positive if the angular speed increases counterclockwise or decreases clockwise, and is taken to be negative if the angular speed increases clockwise or decreases counterclockwise. In three dimensions, angular acceleration is a pseudovector.For rigid bodies, angular acceleration must be caused by a net external torque. However, this is not so for non-rigid bodies: For example, a figure skater can speed up her rotation (thereby obtaining an angular acceleration) simply by contracting her arms and legs inwards, which involves no external torque.

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  1. S

    Angular acceleration of tires on a car

    Homework Statement You accelerate your car from rest at a constant rate down a straight road and reach 22.0 m/s in 111s. The tires on your car have radius 0.320 m. Assuming the tires rotate in a counterclockwise direction, what is the angular acceleration of the tires? Homework Equations...
  2. C

    Rotation - Angular acceleration

    Homework Statement The Attempt at a Solution I need to know what will be angular acceleration of the pulley i guessed that point A will have same acceleration as of the string and therefore of the block i.e. 2a so angular acc., α = 2a/r but it comes out that α = a/r WHY?
  3. T

    How Do You Calculate Earth's Radial and Transverse Velocity Components?

    Homework Statement Find the radial and transverse components of the velocity and acceleration of the Earth, in terms of (theta) and (theta dot=d(theta)/dt) Homework Equations r=1/A+Bcos(theta) Where A and B are constants given as A=0.666667x10^-11 and B=0.113333x10^-12 (theta...
  4. B

    Disk with constant angular acceleration

    Homework Statement A disk is under constant angular acceleration \alpha. When it starts from rest it takes 10 revolutions before it reaches angular velocity \omega. How many additional revolutions does it take to accelerate the disk further to an angular velocity of 3\omega?The Attempt at a...
  5. A

    Problem with angular acceleration and Moment of Inertia

    There is nothing to answer anymore. I have no time left for the project to use the data.
  6. A

    Angular acceleration, inertia, torque, mass, force and velocity

    Homework Statement I have an angular acceleration question. I have two different scenarios I want to compare. The difference is the distance from rotational center point. The input torque is 1Nm in both scenarios. I want to accelerate a mass of 2kg over an 90 degree angle (0.5PI rad). My...
  7. P

    Linear acceleration to angular acceleration

    I am working on a project where i need to determine the angular acceleration from known linear acceleration. I have given it a try please let me know if its the correct approach. Linear acceleration = 70 G's (70x9.8 mts/sec2) Radius of cylinder = 0.203 mts Rotation of cylinder along center...
  8. M

    Angular Acceleration: Motion, Force & Direction

    Hi guys, supposing there is a collar which can freely move along a rod. If the rod is rotating with a certain angular velocity, the rod will move away from the rotating point (it can never move towards the point). The acceleration of the collar has a radial component toward the point, hence the...
  9. M

    Angular Acceleration Homework: Find w/ Radius, Mass

    Homework Statement A string is wrapped several times around the rim of a small hoop with radius .08m and mass .18kg. The free end of the string is pulled upward in just the right way so that the hoop doesn't move vertically as the string unwinds. Find the angular acceleration of the hoop as...
  10. W

    Find Angular Acceleration: Torque & Rotational I

    Homework Statement The figure shows a view from above of two objects attached to the end of a rigid massless rod at rest on a frictionless table. Imagine a vertical rod, on the top end is a mass of m, an the bottom is a mass of 2m. The length of the rod is L and L/4 down from m (at top), a...
  11. B

    Torque and angular acceleration of a grindstone

    A grindstone in the shape of a solid disk with diameter 0.550 m and a mass of m = 50.0 kg is rotating at omega = 840 rev/min. You press an ax against the rim with a normal force of F = 160 N , and the grindstone comes to rest in 7.60 s. Find the coefficient of friction between the ax and the...
  12. B

    Angular Acceleration Conceptual Question

    Homework Statement A wheel starts from rest and spins with a constant angular acceleration. As time goes on the accerlation vector for a point on the rim: a) decreases in magnitude and becomes more nearly tangent to the rim b) decreases in magnitude and becomes more nearly radial c)...
  13. G

    Angular Acceleration Differential

    HI, I would appreciate if someone could provide me some suggestions. I am trying to figure out angular acceleration and angular velocity of opening a car hood. I think I have the sum of the torques correct however I am having a tough time with speed because the torque is not contant. I do...
  14. F

    Why is angular acceleration positive even though it is going clockwise?

    Homework Statement Go to http://apcentral.collegeboard.com/apc/public/repository/ap08_physics_c_mech_frq.pdf Question two The solution is http://www.collegeboard.com/prod_downloads/ap/students/physics/ap08_physics_c_mech_sgs_rev.pdfThe Attempt at a Solution My question is part d) in the...
  15. R

    What Is the Angular Acceleration and Distance Traveled by the Paint Splotch?

    Homework Statement A flywheel rotates at a rate of 20 rpm. A motor provides a constant angular acceleration so that 30 s later it turns at a rate of 70 rpm. There’s a tiny splotch of paint on the flywheel, located 0.10 m from its center. During the acceleration period, what is the angular...
  16. D

    Angle does it rotate & angular acceleration?

    Homework Statement This is a two part problem, but I don't know what equation to use for part II. a) A record has an angular speed of 15.4 rev/min. What is its angular speed? Answer in units of rad/s. 1.61 rad/s b) Through what angle does it rotate in 1.1 s? Answer in units of rad...
  17. J

    Equations of motion for angular acceleration

    Homework Statement A slope angled 36* to the horizontal has a hoop cylindrical shell going down it, which has radius 3cm and mass 100g. 1) Write down an equation of motion for the angular acceleration. 2) Will the linear acceleration change if the hoop is changed to a cylinder (i.e...
  18. D

    Angular acceleration of a blender

    The blades in a blender rotate at a rate of 6100rpm. When the motor is turned off during operation, the blades slow to rest in 4.7s What is the angular acceleration as the blades slow down? f=6100rpm=366000rps dt=4.7s w=2(pi)f angular acceleration=dw/dt w=2(pi)3.66*10^5=2.3*10^6 rad/s...
  19. JJBladester

    Determine normal force and angular acceleration of disk

    Homework Statement A 10kg disk contacts an inclined surface. A 11Nm couple M is applied. The coefficient of friciton is 0.4. Determine the normal force at point D, the angular acceleration \alpha , and the force of the rod C. Answers: N=115.9 Newtons \alpha =2.25rad/s2 C=77.19 Newtons...
  20. M

    Finding angular acceleration from torque

    We have to analyze this video: Givens: 1) An applied net torque due to the wind on the windmill is equal to 1500 N*m. 2) Each (of the 3) propeller props weighs approximately 45 Kg and has a Moment of Inertial equal to about 65% of that of a rod of the same mass being spun about its...
  21. I

    Angular acceleration and velocity problem

    Homework Statement a homogeneous pole AB has a mass m and a length l. the pole makes a 45 deg angle with the horizontal axis, and the pole is being held in resting position by a rope. (see the drawing =P) find the angular acceleration and angular velocity, when the rope is cut and the pole...
  22. P

    Torque to generate angular acceleration

    Homework Statement Problem definition - Conversion of torque from a pendulum to generate angular acceleration in a cylinder. Pendulum is fixed on one side and has adjustable mass on the other end. Length of the pendulum is constant. Homework Equations torque generated by pendulum =...
  23. P

    Torque used to generate angular acceleration

    Please let me know if the formula that i had genreated to calculate angular acceleration is correct. Problem definition - Conversion of torque from a pendulum to generate angular acceleration in a cylinder. Pendulum is fixed on one side and has adjustable mass on the other end. Length of...
  24. P

    Generating Angular Acceleration using a fixture

    Hello, Presently i am working on a project to generate angular acceleration on a cylinder. The cylinder has silicone gel material in which we have markers to track to understand the respective dispalacements and strains in the material by applying this angular acceleration. I already have...
  25. M

    Ceiling Fan Angular Acceleration

    A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md = 2.9 kg and radius R = 0.26 m. The rods each have mass mr = 1.4 kg and length L = 0.8 m. When the fan is turned on, it takes t = 3 s and a total of 15 revolutions to accelerate up...
  26. J

    Pulsar Angular acceleration question

    Homework Statement The problem is as follows. A certain pulsar (a rapidly rotating neutron star) has a period of rotation of 0.033s, and this is observed to be increased at a rate of 1.26(10^(-5)) seconds per year. what is the value of the angular acceleration in rad/s^2? Homework...
  27. P

    Angular Acceleration generation help

    Hello, I am in process of building a set up where i will be using a pendulum to impact a cylinder to generate angular acceleration. I started from basic physics for a answer and found the following method but doesn't seem to go any where from here. Please provide guidance. Torque = Moment...
  28. R

    Find angular acceleration of a yoyo

    Homework Statement A Yo-Yo is made up of twp solid disks each with radius R and mass M. The axle has radius r and is essentially massless. The Yo Yo is released to unwind. Find the angular acceleration of the YoYO as it falls in terms of r, R and g. Homework Equations \Sigma\tau=I\alpha...
  29. S

    Angular acceleration of a discus

    To throw a discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant anguLar acceleration. The diameter of the circle in which the discus moves is about 1.8 m. If a thrower takes 1.0 s to complete one revolution, starting from rest, what...
  30. E

    Torque and Angular acceleration

    Hi all, first time posting so let's see how it goes! My problems are with a piece of physics coursework I'm doing for my A-level courses. I chose to investigate the 'torque effect' on single propeller planes. (If you are unsure of what this is, its basically Newtons third law, reasoning that...
  31. S

    Calculating angular acceleration and translating to force

    Hi there I need some help in calculating the force created by angular motion. I am designing a wheelie bar for my motorcycle and need to know what force the design must be able to handle. I have attached a simple sketch of the design. Taking into account; torque produced by the engine...
  32. M

    Angular Acceleration: Homework Equations & Solution

    Homework Statement A 26.0 in diameter wheel is rotation initially at 210.0 revolutions per minute. It slows down uniformly and comes to rest in 15.0 seconds. a.) what is the angular acceleration? b.) through how many revolutions did it turn in those 15.0s? Homework Equations...
  33. T

    Linear acceleration and angular acceleration

    Homework Statement How do I solve for linear acceleration or angular acceleration without one or the other? I am given the mass of the object (a yoyo), the inner radius, the outer radius, and Icm (moment of inertia at the center of mass). Attached in a picture of the problem...
  34. Z

    Did I do this angular acceleration problem right?

    The blades in a blender rotate at a rate of 7000 rpm. When the motor is turned off during operation, the blades slow to rest in 3.4 s. What is the angular acceleration as the blades slow down? Lets first convert rpm to rps and then multiply by 2π to get its angular velocity. 7000rpm *...
  35. M

    Angular acceleration of a bar on a hinge

    Homework Statement A bar on a hinge starts from rest and rotates with \alpha=(10+6t) rad/s2 t is in seconds. Determine the angle in radians the bar turns in the first 4 seconds. Homework Equations I'm a little stumped how to get this one started. I assume i need to get it from angular...
  36. R

    Finding Angular Acceleration of Uniform Rod

    Homework Statement A uniform rod of length 0.750 m and mass 1.20 kg is pivoted at one end by a smooth pin as shown below. The rod is released from the vertical position and given a slight nudge to release it from the vertical position of unstable equilibrium...
  37. A

    Atwood machine, solve for angular acceleration

    Homework Statement The goal is to solve for angular acceleration with the end variables being m1,m2,m3, R, r, g. M2 > M1. An atwood machine is a pulley with 2 masses, one on each side. Homework Equations Tnet = I * angular acceleration Fnet = ma The Attempt at a Solution I know...
  38. U

    Finding angular acceleration of 2 masses on a rod

    Homework Statement A uniform rigid rod with mass Mr = 5.9 kg, length L = 2.9 m rotates in the vertical xy plane about a frictionless pivot through its center. Two point-like particles m1 and m2, with masses m1 = 5.7 kg and m2 = 1.8 kg, are attached at the ends of the rod. What is the...
  39. A

    Angular Acceleration without Angular Speed.

    Homework Statement A wheel rotating about a fixed axis has an angular position given by theta= 3.0 - 2.0t^3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0s?Homework Equations wf = w + atThe Attempt at a Solution I realize I most...
  40. J

    Constant angular acceleration of a rotating wheel

    A rotating wheel requires 4.7 s to rotate through 33.5 rev. Its angular speed at the end of the 4.7 s interval is 45.5 rad/s. What is its constant angular acceleration? Assume the angular acceleration has the same sign as the angular velocity. Answer in units of rad/s2...
  41. B

    How Do You Calculate Angular Acceleration of a Wheel?

    Homework Statement A 70cm diameter wheels accelerates uniformly from 160 rpm to 280 rpm in 4.00s. Determine: a) it's angular acceleration, and b) the radial and tangential components of the linear acceleration of a point on the edge of the wheel 2.00s after it has started accelerating...
  42. P

    Constant Angular Acceleration Question

    Homework Statement Dario, a prep cook at an Italian restaurant, spins a salad spinner 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates 6.00 more times before it comes to rest. Assume that the spinner slows down with constant angular acceleration. a) Find the...
  43. C

    Time-dependent angular acceleration problem

    Homework Statement As a result of friction, the angular speed of a wheel changes with time according to dθ/dt=ω0*e^-σt , where ω0 and σ are constants. The angular speed changes from an initial angular speed of 3.96 rad/s to 3.46 rad/s in 3.92 s . Determine the magnitude of the angular...
  44. B

    Angular acceleration of a blender

    Homework Statement The blades of a kitchen blender rotate counterclockwise at 2.2×10^4 rpm (revolutions per minute) at top speed. It takes the blender 2.1 seconds to reach this top speed after being turned on. What is the average angular acceleration of the blades? Homework Equations...
  45. J

    Angular Acceleration from Net Torque

    Homework Statement A long straight rod has the following: mass = 0.016 kg length = 0.16 m It is being pulled on by a force on its right end. The force pulls down on the rod, making an angle of 22.5 degrees with the vertical. The magnitude of the force is 3.2E-2 N. Give the angular...
  46. D

    Angular acceleration of a rock, in a tire, on a car

    Homework Statement A rock is wedged into the treads of a 15 in radius tire. The car to which it is attached is driving down the road at 70mph. What’s the angular acceleration of the rock? Homework Equations ar=- \omega02r The Attempt at a Solution Not sure where to begin...
  47. A

    What is the drill's angular acceleration?

    Homework Statement A high-speed drill rotating ccw at 2200rpm comes to a halt in 2.80 s. What is the drill's angular acceleration? Homework Equations (where w = angular velocity) w = 2╥/T v = wr a = v^2/r a = w^2*r The Attempt at a Solution I start by calculating w. So first I took it to...
  48. D

    Angular acceleration of a motor

    Homework Statement I have a motor, with an armature that has a mass of 250kg , and a diameter of 30 cm. Assuming the mass of the armature is evenly distributed, the rotational inertia of the armature is 22.5 kg-m^2. Now the motor accelerating unloaded, with armature current regulated so that...
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