An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a particular disk is spun at 294.3 rad/s while it is being read, and then is allowed to come to rest over 0.301 seconds, what is the magnitude of the average angular acceleration of the disk? average angular acceleration=_________________ rad/s^2 If the disk is 0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/13 of the way out from the center of the disk? tangential acceleration=_______________ms^2

Q: A 76-cmcm-diameter wheel accelerates uniformly about its center from 150 rpmrpm to 390 rpmrpm in 3.5…

A: Given:- Dia meter of the wheel d = 76 cm = 0.76 m  The wheel rotates in t = 3.5 sec from 150 rpm to…

Q: 1. A wheel that starts from rest has an angular speed of 20 rad/s after being uniformly accelerated…

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Q: A torque 151 N m is applied to the centrifuge to increase its angular velocity to 3500 rev/min in 45…

A: Angular acceleration is,

Q: A wheel of radius 0.282 m, which is moving initially at 37.9 m/s, rolls to a stop in 205 m.…

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Q: A wheel rotating about a fixed axis with a constant angular acceleration of 3 rad/s starts from rest…

A: Angular acceleration α = 3 rads2diameter of the wheel = 20 cm radius of the wheel = 10 cm = 0.1 m t…

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: A blade of a ceiling fan has a radius of 0.7 m is rotating about a fixed axis with an initial…

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Q: A playground merry-go-round with a mass of 105 kg and a radius of 2.4 m is rotating with an angular…

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Q: An electric fan is turned off, and its angular velocity decreases uniformly from 550 rev/min to 200…

A: Given: Initial angular velocity of the fan after switching off is ω0 = 550 rev/min      =9.167…

Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 51 rev/min. r =…

A: The angular frequency, ω = 51rev/min = 5.34rad/s. The time period of rotation of the wheel is

Q: A solid stone grinding wheel of radius r = 20 cm and mass m = 25 kg is spinning at a frequency of…

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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 powered by electricity is rotating at 71.1 rad/s when it initially undergoes…

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Q: blades of a fan running at low speed turn at 280 rpm. When the fan is switched to high speed, the…

A: Initial frequency fo = 280 rpm = 280/60 rps  =4.67 rps  Final frequency f = 430 rpm = 430/60 rps…

Q: Q: A grinding wheel 0.15 m in diameter rotates at 3750 rpm. What is the linear speed of a point on…

A: r= 0.15 m angular velocity= w w= 3750 rpm w=3750revolutionsminute w=37502π rad60 s w=125π rad/s

Q: The following figure shows the cross section of a cylinder of radius 8.8 m rotating about its axis…

A: Given, Radius of cylinder  r= 8.8m Angular velocity    w= 4 rad/s We have,  Velocity at a point V =…

Q: How fast (in rpm) must a centrifuge rotate if a particle 7.8 cm from the axis of rotation is to…

A: The centripetal acceleration is a given by                                          a=ω2r…

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

A: Given, Object's initial angular velocity, ω0= 36.6 rads Object's final angular velocity, ω=10.2 rads…

Q: A 400 kg solid metal disk (with uniform density) has several forces applied to it, as shown. If the…

A: Net torque acting on the solid metal disk is τnet=r1F1+r2F2-r3F3=0.5 m×18 N+1.0 m×15 N-0.5 m×20 N=14…

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: The rotational speed of the Earth around the Sun in radians/day is O a. 0.0172 rad/s O b. 0.0086…

A: The Earth takes 365 days around the Sun in a revolution.

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

A: Angular velocity ,  ω = 880.7 rad /s Time taken , T = 0.368 seconds  Diameter of the disk , d = 0.12…

Q: A wheel of radius 0.262 m, which is moving initially at 32.5 m/s, rolls to a stop in 242 m.…

A: Given: The radius of the wheel is 0.262 m. The initial speed of the wheel is 32.5 m/s. The stopping…

Q: A wheel that is 34.0 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly…

A: Rotational motion can be defined as the motion of an object around a circular path in a fixed orbit.…

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: 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: How long will it take to rotate 360º if an object is moving at a constant angular speed of 250 rpm?…

A: Given that, Angular speed, ω=250 rpm Angular displacement, θ=3600 We need to find the time it will…

Q: In the figure, the rod is uniform and the pivot is frictionless. The rod's mass is 13 kg and its…

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Q: A thin stick of mass 0.5 kg and length L = 0.9 m is attached to the rim of a metal disk of mass M =…

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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…

A: Here the concept of angular velocity, angular acceleration and tangential acceleration is used.

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

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Q: medical saW is rotating at a constant rate of 15 revolutions per second. If it has a radius of 12…

A: given: ω=15 rev/sr=12 cm

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 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: A wheel of radius 0.343 m, which is moving initially at 31.3 m/s, rolls to a stop in 296 m.…

A: (a) Express the relation for the linear acceleration of the wheel. v2=u2+2aSa=v2-u22S Here, u is the…

Q: 0 out of 15 p A grindstone has a radius of 13.00 cm and rotates at 13000 rev/min. What is the linear…

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Q: How fast (in rpm) must a centrifuge rotate if a particle 6.7 cm from the axis of rotation is to…

A: distance of particle from the axis of rotation (d) = 6.7 cm = 0.067 m acceleration (a) = 200000 g

Q: A circular pulley of radius 0.35 [m] can rotate on frictionless bearing. A massless string passes…

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Q: A coin with a diameter of 5 cm is dropped on edge on a horizontal surface. The coin starts out with…

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Q: Does a rotating disc spin at a rate of 26 rad/s for 5 seconds? How many revolutions does it make…

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Q: A grinding wheel 1.40 m in diameter rotates with angular speed 1340 rpm. What is the linear speed of…

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Q: A circular pulley of radius 0.35 [m] can rotate on frictionless bearing. A massless string passes…

A: Given : radius of pulley, r = 0.35 m Mass of pulley, m = 10 kg Initial velocity of pulley, u = 0 m/s…

Q: A grinding wheel attached to an electric motor is initially rotating at 116 rev/min when it is…

A: Given data:  Initial angular velocity (ω0) = 116 rev/min Final angular velocity (ω) = 0 rad/s…

Q: A disk with a radius of 4.01 meters is rotating with an angular speed of 8.01 rad/s. The angular…

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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.