A CD has diameter of 120 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. When reading along the outer edge of the disc, the angular speed is about 200 rpm (revolutions per minute). Find the linear speed. Round answer two decimal places. The linear speed of reading along the outer edge of the disc is ____ meters per second.

Q: The angular acceleration of a wheel is a = 8.0t4 - 4.0t², with a in radians per second-squared and t…

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Q: As an audio CD plays, the frequency at which the disk spins changes. At 210 rpm, the speed of a…

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Q: A 64-cm-diameter wheel accelerates uniformly about its center from 130 rpm to 300 rpm rpm in 4.8 s.…

A: Given data: Diameter of wheel is, d=64 cm=0.64 m. Number of revolution at initial is, N1=130 rpm.…

Q: PROBLEM 2 1 m The cylinder whose cross-section is shown in the figure rotates about the shaft AB on…

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Q: You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed…

A: Radius of wheel, r=0.622m Normal reaction, R=10N Coefficient of friction, μ=0.462 Let torque be τ.

Q: A ball has a radius of 15cm. It is rolling at a steady 12 rad/s. What is its linear speed? ___ m/s…

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Q: A 49-cm-diameter wheel accelerates uniformly about its center from 110 rpmrpm to 280 rpmrpm in 5.0 s…

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Q: A grinding wheel, initially at rest, is rotated with constant angular acceleration α = 7.0 rad/s^2…

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Q: You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed…

A: Radius of the wheel, R = 0.622 m Force of the foot, F = 10 N Coefficient of friction, u = 0.462…

Q: A disk has a mass 5.5 kg and radius 12 cm, rotating with angular speed 6 rev/s when a second disk of…

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Q: A flywheel with a diameter of 1.00 m and initially rotating at an angular speed of 500 revolutions…

A: Given data:

Q: A rotating platform of radius R = 2.7 cm starts from rest and accelerates with uniform angular…

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Q: The blade of a steel cutter is rotating at a speed of 600 rev/min. If the radius of the blade is 7.5…

A: The given data are: N=600 rev/minr=7.5 cm=0.075 m Here, N and r are the revolutions per minute and…

Q: An Atwood machine is constructed using two wheels (with the masses concentrated at the rims). The…

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Q: In a downtown office building, you notice each of the four sections of a rotating door has a mass of…

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Q: A 2.0 kg ball is attached to a rope that forces the ball to travel along a circular path in a…

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Q: In the figure, block 1 has mass m1 = 470 g, block 2 has mass m2 radius R = 5.4 cm. When released…

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Q: The flagella of a bacterium can rotate very rapidly. If a flagellum rotates at a uniform angular…

A: Angular speed is 1000rad/s (uniform) Angular displacement is 0.5 rev

Q: An Atwood’s machine consists of blocks of masses m1 = 10.0 kg and m2 = 20.0 kg attached by a cord…

A: Given: Mass m1 = 10.0 kg. Mass m2 = 20.0 kg. Mass of pulley M = 8.0 kg. Radius of pulley r = 0.2 m.

Q: The angular position of an object that rotates about a fixed axis is given by θ(t) = θ0 eβt, where β…

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Q: A bicycle tire of radius 0.68 m rotates 1000 times in 600 s. Calculate a.) the distance traveled by…

A: Given: Radius r = 0.68 m Rotation =  1000 times in 600 s (a) To determine: Distance Formula used:…

Q: flywheel 1.2 m in diameter accelerates uniformly from rest to 2000 rpm in 20 sec. What is its…

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Q: Chapter 10, Problem 051 In the figure, block 1 has mass m, = 440 g, block 2 has mass m2 = 530 g, and…

A: Given information:Mass of the block 1 (m1) = 440 g = 0.44 kgMass of the block 2 (m2) = 530 g = 0.53…

Q: A Ferris wheel with radius 14.8 m and initial angular speed 0.18 rad/s starts speeding up with…

A: In this question we have to find the resultant acceleration. Please give positive feedback if the…

Q: 1. Convert the following angles to radians. Express answers as fractions of T and as numerical…

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Q: The angular position of a point on the rim of a rotating wheel is given by theta = 3.2t - 5.8t2 + t…

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Q: Which one of the following statements correctly relates the radial acceleration component and the…

A: radial acceleration, ar=ω2rω→Angular velocityr→Radius

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 600 rev/min to 250…

A: Ans:- Image-1

Q: Why is the following situation impossible? Starting from REST, a disk rotates around a fixed axis…

A: Given,

Q: You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed…

A: Normal force, R=10N Radius of wheel, r=0.622m Coefficient of friction, μ=0.462 Let the torque be τ.

Q: A truck with 36 in diameter wheels is traveling at 45 mi/hr. a) find the angular speed of the wheels…

A: Given data: Diameter (d) = 36 in Speed (v) = 45 mi/hr Required: Angular speed (ω) in rad/min and…

Q: A child pushes a 1.5 kg solid cylinder of radius 0.40 m causing it to roll on the ground at 8.8 m/s.…

A: mass of solid cylinder = 1.5 kg Radius = 0.4 m v = 8.8 m/s

Q: The angular acceleration of a wheel is a = 7.0t4 – 7.0t², with a in radians per second-squared and…

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Q: Compute for the angular speed with the given data: -Radius= 0.6 m Number of revolution = 8 Time= 30…

A: Angular speed is calculated by the ω=2πf f=revSec

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045…

A: Initial angular speed (ω) = 734.1 rad/sec Final angular velocity (ω') = 0 rad/sec time taken (t) =…

Q: A propeller with a radius of 1.2 meters is rotating at 1,400 revolutions per minute. What is the…

A: we can find velocity at tip of propeller by simple velocity equation .

Q: A wheel of radius 10 inches is rotating 0.6 rad/s. What is the linear speed v, the angular speed in…

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Q: A wheel of radius 0.447 m is mounted on a frictionless horizontal axis. The rotational inertia of…

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Q: In the figure, block 1 has mass m1 = = 570 g, and the pulley is on a frictionless horizontal axle…

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Q: A flywheel with a diameter of 2.20 m is rotating at an angular speed of 300 rev/min. What is the…

A: Diameter of wheel=2.2 mAngular speed=300 rev/min

Q: In the figure, block 1 has mass m, = 488 g, block 2 has mass m, = 551 g, and the pulley is on a…

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Q: A wheel of diameter 60.0 centimeters accelerates uniformly about its center from 120 rpm to 380 rpm…

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Q: In the figure, block 1 has mass m, = 488 g, block 2 has mass m, = 551 g, and the pulley is on a…

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Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 89 rev/min. r =…

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Q: A motor spins a disk (Idisk = 25.5 kg*m2) with a torque of 39 N*m, and a 18 N frictional force acts…

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Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

A: Give the following data: α=0.107 rad/s2N=2870 rev⇒θ=2πN=5740πωf=130 rad/s

Q: A wheel with radius 0.33 m0.33 m and rotational inertia 2.0 kg⋅m22.0 kg·m2 spins on an axle with an…

A: Given: Radius (r) = 0.33 m Rotational inertia (I) = 2.0 kg⋅m2 Initial angular speed (ωo)=3.0 rad/s…

Q: 10   The diameter of the main propeller of a helicopter is 6 m and its rotation speed is 600 rpm.…

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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.