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 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: 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: Starting at the point (4.61 m, 0 m) on the x-y plane, a physics student runs around the origin…

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Q: 8 m A The tangential acceleration of the centrifuge cab is given by a₁ = 0.5t (m/s²) where t is in…

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Q: A helicopter propeller blade starts from rest and experiences a constant angular acceleration of…

A: Data provided: Initial angular velocity (ω0) = 0 rad/s Angular acceleration (α) = 21.5 rad/s2 Radius…

Q: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is…

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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: A carousel is initially at rest. At t=0, it is given a constant angular acceleration, alpha=0.5…

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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 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.…

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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: A ferris wheel begins at rest. During the first part of the journey, the ferris wheel accelerates…

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

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Q: A 72-cm-diameter wheel accelerates uniformly about its center from 60 rpm to 300 rpm in 5.0 seconds.…

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Q: person

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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: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 3t + 9, where ?…

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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…

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Q: . The radial position r of a particles path is defined by an equation, r = 5 cos (26) m. At the…

A: The θ component of the acceleration is given by the formula, aθ=rdωdt+2ωdrdt…

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: The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor starts…

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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: Find the tangential components of acceleration of the point for the instant after 1s. b. Find the…

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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.…

Q: The angular position as a function of time of a rotating cylinder is giving by: θ(t) =…

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Q: Cheryl is riding on the edge of a merry-go-round, 2m from the center, which is rotating with an…

A: The objective of the question is to find the total acceleration of Cheryl who is riding on the edge…

Q: A centrifuge in a forensics laboratory rotates at an angular speed of 3,450 rev/min. When switched…

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Q: A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion…

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Q: A computer hard disk 8.0 cm in diameter is initially at rest. A small dot is painted on the edge of…

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

A: Given data: The deceleration of wheel is α=-1.19 rev/s2. The initial angular velocity is ωi=3.06…

Q: An inexperienced driver entered a roundabout, and could not figure out how to exit. The driver went…

A: Given, total angle traveled by the driver is θ=971o   angular displacement: It is the shortest…

Q: An athlete rotates a 1.00 kg discus along a circular path of radius 1.06 m. The maximum speed of the…

A: Given value--- Mass = 1 kg. radius = 1.06 m. speed = 25 m/s. We have to find--- maximum radial…

Q: You are at a playground with a merry-go-round, which is initially sitting still.  You push on it,…

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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.