Left Right Down spinning disk is rotating at a rate of 2 rad/s in the counterclockwise direction as shown in the figure. If ne disk is speeding up at a rate of 4 rad/s², what is the direction of the angular acceleration ector? left right up down

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 centrifuge in a medical laboratory rotates at an angular speed of 3,586 rev/min. When switched…

A: Lets imagine that the centrifuge is in circular shape and it is rotating in a counter clock wise…

Q: A MERRY-GO-ROUND WITH A RADIUS OF 6.0 METERS ROTATES AT THE SPEED OF 8 REVOLUTIONS PER MINUTE(RPM).…

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Q: A wheel rotates at 520 rpm (revolutions per minute). What is this angular speed in rad/s? (1…

A: Given, Angular speed of wheel (ω)= 520rpm 1revolution = 2π

Q: the angular vel

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Q: A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating…

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Q: ople are able to spin a basketball on the tip of a finger. It is often done by balancing the ball on…

A: Given Initial angular velocity wo = 0  Final angular velocity w = 17.45 rad/s  Time taken t= 1.8…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,500 rev/min, clockwise (when…

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Q: Kristen performs a backward flip (one revolution) in 0.75 seconds.  a.) What is her average angular…

A: Given ,             Time taken in one backward flip is t =0.75 seconds  One flip = one revolution =…

Q: An automatic dryer spins wet clothes at an angular speed of 5.6 rad/s. Starting from rest, the dryer…

A: Angular speed "wf"= 5.6rad/s . average angular acceleration"a"= 3.5 rad/s².

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: Calculate the linear acceleration of a car, the 0.260-m radius tires of which have an angular…

A: Given data: Radius (r) = 0.260 m Angular acceleration (α) = 12.0 rad/s2 Time (t) = 2.50 s Initial…

Q: Amelia gives her doll a merry-go-around ride on an old phonograph set at 45 pm. The doll is 17 cm…

A: Given : ω = 45 rpm r = 17 cm = 0.17 m

Q: A merry go round with a radius of 6.0 meters rotates at a speed of 8 revolutions per minute (rpm).…

A: Given: The radius of the merry-go round is 6 m. The initial angular velocity of the merry-go round…

Q: The blades in a blender rotate at a rate of 6300 rpm. When the motor is turned off during operation,…

A: Given that the blades in a blender rotate at 6300 rpm.

Q: A revolving amusement ride car follows a path of r = 10(1+ cos(0))[m]. The car starts at an angular…

A: Velocity = dr/dt Acceleration =dr/dt

Q: The pottery wheel in the previous question, rotating at 3.5 rpm is turned off. It gradually slows to…

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Q: 10. A coin is placed 10 cm from the axis of a rotating disk. The disk starts from rest and…

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Q: wheel, radius = 16 cm starts from rests. angular speed increases over 9.4 s until it reaches 22…

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

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Q: disk slows down from 75 rad/s to 25 rad/s in 5 seconds. What is the average angular acceleration of…

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Q: A cooling fan is turned off when it is running at 950 rev/minrev/min . It turns 1500 revolutions…

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Q: Microwave ovens rotate at a rate of about 6 rpm (revolutions per minute). What is this in…

A: Given  N=6 rpm

Q: Up Left Right Down A spinning disk is rotating at a rate of 2 rad/s in the clockwise direction as…

A: To determine,the direction of the angular velocity vector.

Q: In which situation's would angular acceleration be negative? Select all that apply 1. An object is…

A: To identify : the case in which the angular acceleration is negative

Q: A circular saw blade rotating at 3600 rpm is braked to a stop in 6 sec. What is the angular…

A: The equations of angular motion we use to solve this are ωf = ωi + αt ωf2-ωi2 = 2αθ, where ωf = the…

Q: A record player plays records at 35 rad/s (this is the angular velocity, ω). When the player is…

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Q: A softball pitcher starts her pitch delivery at an acceleration of 40 rad/s. Just before the ball…

A: Initial angular velocity (ωo) = 40 radsFinal angular velocity (ω) = 60 radsTime taken (t) = 0.71…

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: Three children are riding on the edge of a merry-go-round that is 102 kg, has a 1.60 m radius, and…

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Q: A figure skater has a rotational inertia of 276 kg m2 when spinning with arms and one leg…

A: The problem is based on angular momentum conservation law, to solve the given question we will write…

Q: The right-angle bar rotates clockwise with an angular velocity which is decreasing at the rate of 4…

A: From right hand rule, z axis point out of the screen angular velocity,ω=-2 rads kangular…

Q: 13. A spinning wheel is slowed down by a brake, giving it a constant angular acceleration of –5.60…

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Q: A wheel with a radius of 1 meter is initially spinning with an angular velocity of 10 rotations per…

A: Note:- This question with above values can't be determined i.e. question has to be asked with…

Q: An athlete swings a 6.30-kg ball horizontally on the end of a rope. The ball moves in a circle of…

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Q: A wheel has its speed increased from 120 to 240 r/min in 20 s. What is the angular acceleration? How…

A: Given: The initial angular speed is 120 rev/min. The final angular speed is 240 rev/min. The time…

Q: 3) Throwing: A hammer thrower spins 4 times in 1.6 s before releasing the hammer. The radius between…

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Q: A wheel rotates from rest to 60 rad/s at a rate of 100 rad/s2. What angle did the wheel turn while…

A: From kinematics, the expression for the final angular velocity is:

Q: The blades in a blender rotate at a rate of 6200 rpm . When the motor is turned off during…

A: Given: The intial angular speed is 6200 rpm. The final angular speed is 0 rad/s. The time interval…

Q: 7. Michelle is running around a circular park, and she makes 2/3 of a loop every 15 mins, what is…

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Q: 55. mmh A car is traveling with a speed of 20.0 m/s along a straight horizontal road. The wheels…

A: initial speed, u = 20 m/s  radius, r = 0.3 m  acceleration, a = 1.5 m/s2  time, t = 8 s

Q: A centrifuge in a biology laboratory rotates at an angular speed of 3,500 rev/min. When switched…

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Q: wheel is rotating at 15 rad/s.  a)The angular acceleration of the wheel if it stops after 20…

A: The angular acceleration is the time rate of change of the angular velocity and is usually…

Q: Pilots can be tested for stresses of flying high speed jets in a whirling human centrifuge that…

A: a. Write the equation of motion in rotational mechanics and solve for angular acceleration.

Q: You have a grindstone (a disk) that is 82 kg, has a 0.325-m radius, and is turning at 80 rpm, and…

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Q: A wheel is initially at rest then rotates with a constant acceleration of 2.0 rad/s2 . What is its…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Angular acceleration (α) = 2.0 rad/s2 Angular…

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.