What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 2.00 rev/s? ΑΣφ ? m/s?

Q: An athlete whiris a discus in circle of radius 80.0 cm. At a certain instant, the athlete is…

A: radius = r = 80 cm = 0.8 m angular speed = W = 10 rad/s angular acceleration = 50 rad/s2

Q: 34. G0 A fan blade is rotating with a constant angular acceleration of +12.0 rad/sº. At what point…

A: Given - The angular acceleration of fan blade ,  Acceleration due to gravity , g = 9.80 m/s2

Q: A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s?. what is its…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Angular acceleration (α) = 0.025 rad/s2 Angular…

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 race car, starting from rest, travels around a circular turn of radius 29.3 m. At a certain…

A: Given,

Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: A rigid CD of radius 5 cm starts at rest. After 50 complete revolutions, the linear speed of the…

A:

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

A:

Q: A 19 cm disk in radius is originally rotating at wo = 7 rad/s. If it is subjected to a constant…

A: Given that:R=19 cm=0.19 mωo=7 rad/sα=14 rad/s2t=0.55 sec

Q: The energy that can be stored in a flywheel of mass 50 kg and radius 1.8 m is 4.36x10° J, calculate…

A:

Q: An automobile traveling at 40.0 km/h has tires of 90.0 cm diameter. (a) What is the angular speed of…

A:

Q: id 0.4550 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7150 m.…

A: The mass of the solid is m = 0.4550 kg.  The ball rolls without slipping down a track toward a…

Q: 4. A wheel, with radius R= 0.5 m, initially has an angular velocity of 2.5 rev/s, and is slowing…

A:

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: An electric fan turns with constant angular acceleration of 1.24 rad/s^2. How much time does it take…

A: Given, Angular acceleration, α=1.24 rad/s2 Initial angular speed, ω0=0 rad/s Final angular speed,…

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

A:

Q: A 61 cm diameter wheel accelerates uniformly about its center from 120 rpm to 280 rpm in 4.0 a.…

A:

Q: A rotating wheel with a radius of 20.0 cm starts from rest and obtains an ang velocity of 60.0 rad/s…

A: Given:- The radius of the wheel is r = 20 cm = 0.20 m  The angular velocity = 60.0 rad/s  it start…

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

A:

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: The ability of the human eye to rapidly rotate was studied using contact lenses fitted with…

A:

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: A compact disk of diameter 8 cm starts from rest and speeds up uniformly to 2 rev/s in 4.0 seconds.…

A:

Q: The hoop is cast on the rough surface such that it has an angular velocity w =5 rad/s and an angular…

A: given that ω=5 rad / sec      α=4 rad / sec2    R = 0.3 m   a0 = 2 m/s2  tangential acc = rα = 0.3 x…

Q: A DVD which has a diameter of 12 cm is initially at rest so that the line PQ on the disc’s surface…

A: az=Angular acceleration=5 rad/s2t=Time=0.4 sωi=Initial angular velocity=0ωf=Final angular…

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: During a certain time interval, the angular position of a rotating disk is described by 0=20-1+3r If…

A: Angular motion of a disk is described by the equation : θ(t) = 20-t+3t3 radω(t) = d[θ(t)]dt (Angular…

Q: A DVD which has a diameter of 12 cm is initially at rest so that the line PQ on the disc’s surface…

A: Given data *The given diameter of the DVD is d = 12 cm = 0.12 m *The given constant angular…

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

A: a) angular acceleration is the time rate of change of angular speed α=∆w∆tso angular speed at the…

Q: In the figure, point P is on the rim of a wheel of radius 5.0 m. At time t= 0, the wheel is at rest,…

A: Calculate the tangential acceleration of the point P. at = Angular acceleration (α)*radius (r)     =…

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

A:

Q: The angular acceleration of the disk is defined by a = (3t2+12) rad/s2, where "t" is in seconds. If…

A:

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: 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: Between 1911 and 1990, the top of the leaning bell tower at Pisa, Italy, moved toward the south at…

A:

Q: What is the angular acceleration (rad/s2) of a point on the rim of the disk at the instant after 1.1…

A:

Q: A turbine blade rotates with angular velocity w(t) = 2.00 rad/s - 2.10 rad/s³ t?. What is the…

A: Given data:  Angular velocity as function of time  ω(t) = 2.00 rad/s - 2.10 rad/s3 t2 Required: The…

Q: A wheel has a constant angular acceleration of 6.0 rad/s?. Starting from rest, it turns through 290…

A:

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

A:

Q: What is the tangential acceleration of a bug on the rim ofa 10.0-in.-diameter disk if the disk…

A: Let the initial angular velocity of the disk be denoted by ωo, and the final angular velocity be…

Q: A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the…

A:

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.