A Discus Thrower Starting from rest, the thrower accelerates the discus to a final angular speed of +18.0 rad/s in a time of 0.280 s before releasing it. During the acceleration, the discus moves in a circular arc of radius 0.800 m. Find the magnitude of the total acceleration.

Q: A wheel 30 cm in diameter accelerates uniformly from 250 rpm to 380 rpm in 6.2 s .How far will a…

A: The objective of the question is to find out the distance traveled by a point on the edge of the…

Q: A ferris wheel is rotating clockwise at an angular speed of 1.83 rpm. When the ride operator…

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Q: A ball of radius 0.200 m rolls with a constant linear speed of 2.02 m/s along a horizontal table.…

A:

Q: A wheel 32 cm in diameter accelerates uniformly from 245 rpm to 360 rpm in 6.3 s  A)  How far will a…

A: Angular acceleration of the wheel = α t= 6.3 sec Initial angular velocity ωi=245 rpm =4.083 rps…

Q: The vertical rod has a downward velocity v = 1.9 ft/sec and an upward acceleration a = 3.7 ft/sec²…

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Q: A disk, initially rotating at 120 rad/s, is slowed down with a constant angular acceleration of…

A: Given(s): Initial angular velocity, ωi=120 rad/s Final angular velocity, ωf=0 Angular deceleration,…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3550 rev/min. When switched off,…

A: Given data The angular speed of the centrifuge is given as, ω0=3550 rev/min. The angular…

Q: A car speeds up uniformly while rounding a turn of radius 13 meters. The car's angular speed…

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Q: In the figure, a solid 0.4 kg ball rolls smoothly from rest (starting at height H = 6.1 m) until it…

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Q: n acceleration of 1.70 rad/sec^2. It starts from rest. How fast is it turning (radians per second)…

A: GivenAngular acceleration, α=1.7 rad/s2Wheel start from restInitial angular velocity , ωi=0Number of…

Q: A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of…

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Q: A bus starts from rest and travels with a constant acceleration of 1.6 m/s- for 10.3 s. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a…

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

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Q: The Wheel of Fortune is divided into twelve angular sections, each of which is 30 degrees. Determine…

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Q: A wheel, starting from rest, rotates with a constant angular acceleration of 2.90 rad/s2. During a…

A: Let time elapsed before that interval is t   Now, angular speed after t sec  W = 0 + 2.9×t

Q: A rotating disk is initially spinning at w 7.4 rev/s, slows down and stops in 11.6 s. What is the…

A: Option d is the right answer  -0.64 rev /s^2

Q: A wheel is spinning at 43 revolutions per minute (rpm) with its spin axis horizontal. After 9.8 s,…

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Q: A curve ball is a type of pitch in which the baseball spins on its axis as it heads for home plate.…

A:

Q: Son Goku whirled Gohan during their training. Gohan’s height is 1.76 m while Son Goku’s armlength is…

A: Given data: The height of Gohan is h=1.76 m. The arm length of Son Goku is x=2.00  m. Rotational…

Q: ▲ particle moves along a spiral-shaped curve. Its radial position is described by r = 2t ft and its…

A: Given: The particle moves along the spiral path. The radial position is given by r=2t ft. The…

Q: At a time t = 3.40 s, a point on the rim of a wheel with a radius of 0.180 m has a tangential speed…

A: t = 3.4 s r = 0.180 m v = 45 m/s atan = 10.6 m/s2  To find = a) constant angular acceleration…

Q: ao In a large centrifuge used for training pilots and astronauts, a small chamber is fixed at the…

A: Let ar denote the centripetal acceleration, ω denote the angular velocity of the trainee, r denote…

Q: A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 +…

A: Radius of the disk, r=3 m The angular position of the point on the rim at time t, θ=2t4+6t2 Time at…

Q: An astronaut is being tested in a centrifuge. The centrifuge has a radius of 7.30 m and, instarting,…

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Q: In a large centrifuge used for training pilots and astronauts, a small chamber is fixed at the end…

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Q: 4.0

A: The answer is 3 seconds.

Q: If a centrifuge has an angular acceleration of 33.8 rad/s2 and a radius of 30 meters, what is its…

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3600 rev/min. When switched off,…

A: Given value--- initial angular speed = 3600 rev/min. angle = 50 rev. We have to find--- angular…

Q: At a time of t=0 seconds the tires of a moving motorcycle are rotating with an unknown initial…

A: Given data:  Angular acceleration (α) = 3.00 rad/s2 Time (t) = 5.00 s Angular displacement (Δθ) =…

Q: computer hard disk starts from rest, then speeds up with an angular acceleration of 190 rad/s2 until…

A: Using equation of motion for angular variables, we can get the desired answers.

Q: A drill bit is able to reach 2000 rpm in 0.50 s. Assuming a constant angular acceleration, how many…

A: Given: The final angular speed of the drill is dω=2000 rpm= 2000×2π60 s=209.44 rads. Time required…

Q: When you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the…

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Q: A ball of radius 0.200 m rolls with a constant linear speed of 2.66 m/s along a horizontal table.…

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Q: An ultracentrifuge accelerates from rest to 9.97 x 105 rpm in 1.87 min. What is its angular…

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Q: You have a 1.00 m long string with a bob attached to its end. You are swinging it around your head,…

A: Given: Radius of string, r = 1 m Time of complition of 1 revolution, t = 2 sec

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,650 rev/min. When switched…

A:

Q: 4. A particle moves along a spiral-shaped curve. Its radial position is described by r = 2t ft and…

A: Given, The radial position described by r = 2t ft  angular position is given by θ=t radians

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

A: In this question we have to find the average angular velocity of the eye. Please give positive…

Q: A speed skater increases her speed form 10 m/s to 12.5 m/s over a period of 3 seconds while coming…

A: When an object is following non-uniform circular motion( speed is changing), its total acceleration…

Q: A point charge P is b=9.5 m above the center of a uniformly charged ring of radius a=0.58 m sitting…

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Q: A centrifuge in a forensics laboratory rotates at an angular speed of 3,750 rev/min. When switched…

A: Given data *The initial angular speed is ωi=3750 rev/min=3750×2π60 rad/s=392.69 rad/s *The total…

Q: A particle undergoes uniform motion. the speed of the particle is 10.0m/s. and the radius of its…

A: Given data: The speed of the particle is v=10.0 m/s. The radius of the circular path is R=3.20 m.…

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.