If a disk 3 ft in diameter starts from rest with an angular acceleration of 4.4 rad/sec2, (a)what is its angular speed at the end of 10 sec., (b) find the tangential speed of a point on the circumference.

Q: A disk of radius R=139.8cm rotates about its central axis through O with a constant angular…

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Q: An old-style elevator is connected to a counterweight by a cable that passes over a rotating disk…

A: Angular acceleration and linear acceleration are related as a=αr Linear velocity and angular speed…

Q: • A compact disk, which has a diameter of 12.0 cm, speeds upuniformly from 0.00 to 4.00 rev>s in…

A: The radius of the disk is,

Q: The relation between the magnitude of the tangential linear velocity and the angular velocity is…

A: To determine Correct statement regarding tangential linear velocity and angular velocity.

Q: The disk starts from rest and receives an angular acceleration of a = (1001/3) rad/s2, where 0 it's…

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Q: A Ferris wheel with a diameter of 35.00m starts from rest and achieves its maximum operational…

A: Diameter of wheel is D = 35.0 m radius of  wheel is R = D/2 = 17.5 M initial speed is u = 0 m/s…

Q: What is the magnitude of the angular acceleration of a car following a curve of radius 500 m at a…

A: SOlution: Given that car moving in the curve r =500 m v = 25 m/s

Q: A disk of radius 2.00-cm has an angular acceleration of rad 6.00- rad 4.00- s4 a = If the initial…

A: Given:radius r =2 cm =0.02 m angular acceleration α=6t4-4t2 rad/s2 initial angular velocity ω=2.0…

Q: Shown is a space station with a circular rim that forms the space station's main corridor or…

A: Given the acceleration of the apple is 27 km/h2.The diameter of the space station is 210 m.

Q: point on the edge of a tire with a radius of 0.50 m starts at rest and ends up 3.5 minutes later at…

A: Given Initial velocity u = 0  Final velocity v = 88 m/s  Time t = 3.5 min = 3.5 × 60 = 210 sec

Q: 2. A 2 kg uniform stick has length of 0.3 [meters] and is turning around a central axis at 6.28…

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Q: What is the tangential acceleration of a point on the outer rim of the disk at the moment when its…

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Q: A DVD is rotating counterclockwise at constant angular acceleration. If it comes to a stop after…

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Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

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Q: During a tennis serve, a racket is given an angular acceleration of magnitude 135 rad/s2. At the top…

A: Given Angular acceleration is α=135 rad/s2 Angular speed of the rocket is ω=18 rad/s Distance…

Q: What is the magnitude of the angular acceleration of the cylinder?

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Q: A disk of radius R=84cm rotates about its central axis through O with a constant angular…

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Q: A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration…

A: 1)Diameter of CD , D=12cm2)Angular acceleration of CD, α=2 rad/sec23)We need to find radial…

Q: A train is rounding a circular curve whose radius is 1.80E+2 m. At one instant, the train has an…

A: Formula of total acceleration is as follows; atot=atot=ac2+at2…

Q: 4 .lf a disk 3 ft in diameter starts from rest with an angular acceleration of 4.4 rad/sec2, (a)what…

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Q: A grindstone of mass M=30 kg and radius 0.50 m start from rest and experiences a constant angular…

A: M = 30 kg R = 0.5 m α = 3 rad/sec2

Q: An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is…

A: Given: The revolution per minute of disk is N=10000 rpm. The spin of the particular disk is n=2250…

Q: During a tennis serve, a racket is given an angular acceleration of magnitude 170 rad/s2. At the top…

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Q: Awheel (radius 0.20 m) starts from rest and rotates witha constant angular acceleration of 2.0…

A: Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight…

Q: A ball of mass 3.1 kg is rolling along level ground. Initially its turning at 70.6 radians/second,…

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Q: A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0…

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Q: What constant angular acceleration is required to reduce an object's angular velocity from 36.6…

A: angle covered in 13 revolution (θ) = 13x2π = 26 π ωf2-ωi2=2αθ α = 7.567 m/s2

Q: A disk 7.98 cm in radius rotates at a constant rate of 1 210 rev/min about its central axis. (a)…

A: (a) Calculate the angular speed. Angular speedω=2π×rotaional Speed (N)60                      ω…

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

A:

Q: The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant…

A: Consider the equation for rotational motion. Rearrange equation (I) to find the angular…

Q: A 45.0-cm diameter disk rotates with a constant angular accelerationof 2.50 rad/s2. It starts from…

A: Diameter= 45.0 cm, Radius r = 22.5 cm = 0.225 m,Constant angular acceleration α = 2.50…

Q: A disk (radius = 8.0 cm) that rotates about a fixed axis starts from rest and accelerates at a…

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Q: Our sun rotates in a circular orbit about the center of the Milky Way galaxy. The radius of the…

A: Given data:  Radius of orbit = 2.0 × 1020 m Angular speed (ω) = 1.1 × 10-15 rad/s Angular…

Q: A sphere, when released revolved about an axis, whose distance from the center of gravity of the…

A: Solution: Given: 1 rad = 57.296 degree ω = angular velocity of sphere = 9 rad/s r = distance between…

Q: You take a ride in a ferris wheel. Starting from rest, you accele revolutions, until you reach an…

A: We know the angular acceleration is α and the angular velocityω,  time t  So then time has elapsed…

Q: A particle is moving in a circle of radius 0.40 m. At an instance when the angular speed is 2.0…

A: Given: The radius of the circular path is 0.4 m. The angular speed is 2  rad/s. The angular…

Q: What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk…

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Q: given: wheel, radius 6.6 cm, m = 4.2 kg accelerates from rest with angular acceleration 2.6 rad/s2.…

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Q: What is the magnitude v of the tangential velocity of a point on the rim of the disk after the disk…

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Q: Rolando is driving a car on a circular track of radius 200 m. If his car moves at a constant linear…

A: The given data are: r=200 mv=50 m/s Here, r is the radius and v is the linear speed.

Q: A turntable starts from rest and makes the first n complete revolutions in time t with constant…

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.