3. A spinning wheel is slowed down by a brake, giving it a constant angular acceleration of -5.60 rad/s². Dur- ing a 4.20-s time interval, the wheel rotates through 62.4 rad. What is the angular speed of the wheel at the end of the 4.20-s interval?

Q: 4) A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg-m².…

A: According to the law of the conservation of the angular momentum, which state that when net external…

Q: A phonograph record accelerates from rest to 36.0 rpm in 3.83 s. (a) What is its angular…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 36.0 rpm Time (t) =…

Q: 3. An object makes 10 revolutions in 2 minutes. What is the angular velocity of the object? a) 0.1…

A: Write the given values of the problem- Revolutions(N)=10 Time(t)=2 min t= 120 s

Q: 3. A merry-go-round rotates from rest with an angular acceleration of 1.50 rad/s?. How long does it…

A:

Q: 4) An object's angular velocity changes from 3 rad/s clockwise to 8 rad/s clockwise in 5 s. What is…

A: Angular acceleration refers to the time rate of change of angular velocity.  Here, we calculate the…

Q: A ride rotates at, θ(t) = (π/4) t − (π/16)t2 + (π/24)t3 .  i. What is the angular velocity as a…

A:

Q: A computer disk drive is turned on starting from rest and has constant angular acceleration. 1) If…

A: Given, Constant angular acceleration

Q: 5- Bölüm 10- soru-38 A merry-go-round rotates from rest with an angular acceleration of 1.50 rad/s?.…

A:

Q: A rotating wheel requires 2.96-s to rotate through 37.0 revolutions. Its angular speed at the end of…

A:

Q: (II) Calculate the angular velocity (a) of a clock’s secondhand, (b) its minute hand, and (c) its…

A:

Q: wheel, starting from rest, rotates with a constant angular acceleration of 4.50 rad/s2. During a…

A:

Q: With the aid of a string, a gyroscope is accelerated from rest to 35 rad/s in 0.38 s. (a) What is…

A: Given(s): Initial angular velocity, ωi=0 Final angular velocity, ωf=35 rad/s Time taken, t=0.38 s…

Q: 5. An astronaut is placed on a centrifuge, which starts from rest. It accelerates with an angular…

A: Given Initial angular velocity is ω0=0 Angular acceleration is given as α=0.50 rad/s2 Final angular…

Q: 9) What is the total initial acceleration of a tether ball on a 2.0 m rope whose angular velocity…

A: Given, Initial angular velocity, ωi = 13 radsfinal angular velocity, ωf = 7.0 radstime taken, t = 15…

Q: Q3: A flywheel rotates with a constant retardation due to braking. From t = 0 tot = 10 seconds, it…

A: Here we have to use equation of motion  Time taken (t=10 sec) Number of revolution made (N=400 rev…

Q: With the aid of a string, a gyroscope is accelerated from rest to 19 rad/s in 0.26 s. (a) What is…

A:

Q: 1. A flywheel with a diameter of 1.5 m is rotating at a rate of wo = 30 rad/s. It slows down due to…

A:

Q: A CD originally spinning at 34.0 rad/s (325 rpm) slows down uniformly until it comes to a full stop…

A:

Q: 7) A 25-cm-radius wheel is rotating with an angular speed of 16 rad/s. It experiences an angular…

A: Given data: Radius of wheel is, r=25 cm =0.25 m. Initial angular speed is, ω1=16 rad/s. Angular…

Q: 4. When a fan is turned off, its angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s. a) What…

A: The angular acceleration is defined as the time rate of change of angular velocity. Mathematically…

Q: 3. A wheel has a radius of 0.15 m and a moment of inertia of 4.00 kg-m? starts from rest and…

A: Given: The radius of the wheel is R=0.15 m. The moment of inertia of the wheel is I=4 kgm2. The…

Q: 3. A spinning kalesa wheel has a moment of inertia of 3.00 kg · m² about its axis of rotation. How…

A: Moment of inertia of wheel = 3 kg m2Initial angular velocity (ωo) = 0 rad/sec Final angular velocity…

Q: A rotating object's angular position is given by 0(t) = (1.70t2 - 8.15t + 2.55) rad, wheret is…

A:

Q: With the aid of a string, a gyroscope is accelerated from rest to 30 rad/s in 0.41 s. (a) What is…

A:

Q: 1. A disc in a DVD player starts from rest, and begins spinning ..The disc is spin s at 160…

A: GivenInitial angular velocity (ω0) =0Final angular velocity (ω) =160 radians/sTime taken = 4.0 sec

Q: 1. A wheel has a constant angular acceleration of 3.00 rad/sec2. In a 4.00 second interval it turns…

A:

Q: 6. A car slows from 20.0 m/s to rest in 4.0 seconds. While traveling at 20.0 m/s, its wheels spin at…

A: Given data:  Initial angular velocity (ωi) = 40.0 rad/s Final angular velocity (ωf) = 0 rad/s Time…

Q: 23. A wind turbine is initially spinning at a constant angular speed. As the wind's strength…

A: Given The angular acceleration of the wind turbines is α = 0.140 rad/s2. The angular displacement of…

Q: A wheel rotating with 20 rev/s is uniformly accelerated at 0.5 rad/s2 for 10 seconds. It then…

A:

Q: When an electric motor is turned on at t = 0, its angular acceleration is ?= 10e-0.5t where t is the…

A: We have givenAt t=0Angular acceleration (α)=10 e-0.5t

Q: 7. A record starts from rest and reaches 45 rpm in a total time of 10 s. If the record has a radius…

A:

Q: 3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s. How long does it…

A:

Q: 31. A 150-kg merry-go-round in the shape of a uniform, Msolid, horizontal disk of radius 1.50 m is…

A: Given: mass, m = 150 kgradius = 1.50 mAngular speed  = 0.5 rev/sTime, t = 2 sFind: The force exerted…

Q: 6) A car is moving initially at 35 m/s and speeds up so that the 40-cm-diameter wheels have an…

A:

Q: 1: At its lowest setting a centrifuge rotates with an angular speed of w, = 250 rad/s. When it is…

A: Given:- ω1 = 250 rad/sec ω2 = 650 rad/sec t = 14.5 sec  Find:- a) The angular acceleration at the…

Q: *16. Go An automatic dryer spins wet clothes at an angular speed of 5.2 rad/s. Starting from rest,…

A: Given information: The final angular speed, ωf=5.2 rad/s The initial angular speed, ωi=0 The average…

Q: A phonograph record accelerates from rest to 40.0 rpm in 5.33 s. (a) What is its angular…

A:

Q: how long will it take a pole vaulter to fall to the mat (located at 0 meters) if they reach a height…

A: As we are allowed to do only one question (in case of multiple questions) (1) h=5.49 m u = initial…

Q: A gyroscope slows from an initial rate of 58.8 rad/s at a rate of 0.801 rad/s². (a) How long does it…

A: Given that: ω=58.8 rad/sα=0.801 rad/s2t=? Since, t=ωαt=58.80.801t=73.408 s

Q: A merry-go-round rotates from rest with an angular acceleration of 1.50 rad/s2. How long does it…

A:

Q: grindstone increases in angular speed uniformly from 4.10 rad/s to 19.0 rad/s in 4.10 s. (a)…

A: We use equation of angular motion to solve this problem

Q: 1. A rotating disk speeds up from 3 rad/s to 5 rad/s in 0.2 s. What is the disk's average angular…

A: Hi. as you have posted multiple questions and have not specified which question needs to be solved,…

Q: time elapses before the disk stops

A:

Q: 4. What is the angular velocity (in rad/s) of the crankshaft of an automobile engine that is…

A: It is given that angular frequency is 4800 RPM (rotations per minute).  Each rotation is equivalent…

Q: 1. A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s' after…

A:

Q: 7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels…

A:

Q: A rotating wheel requires 3.08-s to rotate through 37.0 revolutions. Its angular speed at the end of…

A: According to the rotational kinematics equation, find the initial angular velocity,…

Q: 2. A wheel of radius 14.0 cm starts from rest and tums through 2.0 revolutions in 3.0s. a. What is…

A: Given Radius r = 14 cm = 0.14 m Angular displacement = number of revolution × 2 π = 4 π  time t = 3…

Q: 1. A bicycle mechanic mounts a bicycle on the repair stand and starts the rear wheel spinning from…

A: ωi=Initial angular velocity=0ωf=Final angular velocity=250 rpm=250×2π60 rad/st=Time=5 sα=Angular…

Q: 12. A disc of radius 5 cm speeds up from rest at a constant rate of 5 rad/s?. What is the final…

A: Answer              B. 25 rad/s2

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.