If the rotational speed of a CD changes from 650 rpm to 75 rpm as it plays 30 minutes of music, what is the CD's average rotational acceleration?

Q: Content Attempti rogress A string trimmer is a tool for cutting grass and weeds; it utilizes a…

A: given, the angular speed of the  string: w= 39 rev/s w=245.044 rad/s tangential speed, v=70 m/s

Q: What is the angular speed of a turntable that rotates with a frequency of 3.6 Hz? Give your answer…

A: Given:- Frequency (f) = 3.6Hz Angular speed of turntable (w) = ?

Q: n 2010, the Sikorsky's X2 helicopter became the world's fastest helicopter, flying at 249 miles per…

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Q: The rotational velocity of a merry-go-round increases at a constant rate from 0.4 rad/s to 1.8 rad/s…

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Q: A point on the rim of a 0.75-m-diameter grinding wheel changes speed at a constant rate from 12 m/s…

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Q: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.70 m and 1.01 m,…

A: Given Data: The diameter of the main rotor is, dm=7.70 m The diameter of a tail rotor is, dt=1.01 m…

Q: DVD player has a rotational speed of 1150 rpm. What is this in radians/second? Give your answer…

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Q: A bicycle slows down uniformly from v = 10 m/s to rest over a distance of 50 m. Each wheel and tire…

A: The equation to solve for the radius of the wheel is as follows: r=d2r=2 m2r=1 m…

Q: A rotating body makes 105 revolutions in 2 seconds. What is the angular speed of the object?

A: Given in question -  Number of revolution (N) = 105…

Q: The angular position of a windmill changes with time as 4.19 t^2 (t^2 means t squared.) The windmill…

A: It is given that the angular position is θ=4.19t2 The angular velocity is given by ω=dθdt…

Q: A tire is rolling, without slipping, at a speed of 13 m/s. It has a radius of 0.33 m. What is the…

A: Given data: Speed (v) = 13 m/s Radius (r) = 0.33 m Required: The rotational speed of the tire

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

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Q: the angular acceleration of the drill i

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Q: each

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Q: A carousel with an angular speed of 0.25 rev/s.  As it is brought to rest with a constant…

A: An angular speed, ω=0.25 ravs=0.25×2π rads=1.57 rads and ω0=0. Time, θ=6.5 rev=6.5×2π rad=40.82 rad…

Q: The wheel in the figure has eight equally spaced spokes and a radius of 43 cm. It is mounted on a…

A: In this question we are given that the wheel in the figure has eight equally spaced spokes and a…

Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…

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Q: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.61 m and 1.04 m,…

A: Given : d1 = 7.61 m d2 = 1.04 m w1 = 456 rev/min = 456(2π/60) = 47.75 rad/s w2 = 4150 rev/min =…

Q: What is the rotational kinetic energy in KILOJOULES of a spinner if it rotates at a constant speed…

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Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: A spinning wheel that initially rotates at 14 revolutions/sec is braked uniformly to a stop in 6.5…

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Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: Given,  Energy produced by car, KE = 3.38×10^9 Radius of flywheel, 'r' = 0.517 m Mass of flywheel,…

Q: fter being turned on, a turntable reaches its rated angular speed of 15.5 rpm in a time of 14.57 s.…

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Q: The engine crankshaft increases its spin from 1,000 rpm to 2,000 rpm in 0.50 s. What is its angular…

A: Given data: The initial angular velocity, Ni=1000 rpm The final angular velocity, Nf=2000 rpm The…

Q: The wheel in the figure has eight equally spaced spokes and a radius of 47 cm. It is mounted on a…

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Q: At its peak, a tornado is 70.0 m in diameter and carries 470 km/h winds. What is its angular…

A: Given data: Diameter (d) = 70.0 m Speed (v) = 470 km/h Required: Angular velocity in rev/s

Q: An airplane propeller rotates with an angular speed of 312 rad/s through what angle does the…

A: Given data: ω=312 rad/st=4.3 s Need to determine the angle does the propeller rotate in 4.3 seconds.

Q: At t = 0 it is observed that a rotating object has an angular velocity of 3 rad/s. The object also…

A: Write the given data. ω0=3 rad/sα=2 rad/s2t= 4 s

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Given that: L=0.875 mm=2.71 kgω=519 rpm=519 rpm×2π rev/min60 rpm=54.35 rad/s Here, L, m, and ω are…

Q: A record rotates through 5.6 radians as it slows down uniformly from 78.0rpm to 22.8 rpm. What is…

A: The objective of the question is to find the magnitude of the angular acceleration of the record. We…

Q: The motor driving a grindstone is switched off when the latter has a rotational  speed of 240 rpm.…

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Q: n object is traveling around a circle with a radius of 12 centimeters. If in 10 seconds a central…

A: Given Radius of circle r=0.12m Time taken t=10s Angle swept out θ=17 rad

Q: It takes 5 s for a shaft of a motor to go from zero to 1600 rpm. Assuming constant angular…

A: The first equation of motion for the rotational motion is  where, w is the final angular speed, wo…

Q: A point on the rim of a 0.75 m diameter grinding wheel changes speed uniformly from 9 m/s to 25 m/s…

A: initial velocity, u = 9 m/s  final velocity, v = 25 m/s  time, t = 8.1 s  diameter, d = 0.75 m

Q: A ceiling fan with 89-cmcm-diameter blades is turning at 70 rpmrpm . Suppose the fan coasts to a…

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Q: A bicycle wheel of radius 19 cm rolls a distance of 10.0 km. How many revolutions does the wheel…

A: The distance traveled in one revolution is the circumference of the circle. which is given by,…

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: We will first write an expression for rotational kinetic energy of an object. Then we use the given…

Q: A car is traveling on the highway at a speed S. The body of the car, and driver, have a combined…

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Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: given that,Energy E = Mass of flywheel m = 34.8 kg Radius of flywheel R = 0.577 m, now we find the…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Mass of each rod = 2.71kg Length of rod = 0.829m Angular velocity ω =589×2π60 =61.65rad/s2 Inretia…

Q: A motor increases its speed from 100 rev/min to 500 rev/min in 20 seconds. If this is done with a…

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Q: A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The…

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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.