Show the solutions of the given answers provided. A dog jogs around a circular track of diameter 30 m for a total distance of 375 m in 5.0 min. (a) How many times did the dog jog around the track? (b) What is the dog’s average angular velocity in radians/s?

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Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched…

A: The initial angular speed of the centrifuge is ω0 = 3,800 rev/min. The angular displacement of the…

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A: Given: The speed of the object is 20 m/s. The distance of the object from the center is 10 m.

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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 cyclist on a circular track of radius r = 800 feet is  traveling at 27 ft s^-1. His speed in the…

A: Radius, r = 800 feet Velocity, v = 27 ft/sec Tangential acceleration, at = 3 ft/sec² Net…

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Q: A cooling fan is turned off when it is running at 3071 rev/min. It turns 1291 revolutions before it…

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Q: A centrifuge rotor with moment of inertia 2.48 is rotating with constant angular velocity 3.07. What…

A: The angle changed is, θ=ωt

Q: Instructions for finding a buried treasure include the following: Go 506.5 paces at 244◦ , turn to…

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Q: A bicycle has a pedal gear ( front gear) with a 9 inch diameter.  The rear gear has a 3 inch…

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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: An engine flywheel initially rotates counterclockwise at 5.93 rotations/s. Then, during 21.3 s, its…

A: formula:

Q: The tires of a car make 88 revolutions as the car reduces its speed uniformly from 104 km/h to 63…

A: We need to calculate how much more time it takes for the car to stop.

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 550 rev/min to 200…

A: Given: Initial angular velocity of the fan after switching off is ω0 = 550 rev/min      =9.167…

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

A: Angular speed of 3,750 rev/minRotates through 46.0 revolutions before coming to restTo Find the…

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Q: An astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in starting,…

A: Given that an astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in…

Q: A ball rolls down a hill over the course of 20s. It started with a small push, imparting 0.6…

A: time (t) = 20 seconds Initial angular velocity (ωo) = 0.6 radianssecangular acceleration (α) = 2…

Q: an object of mass 0.5 kg moving in a circular path of radius 0.25 m experiences a centripetal…

A: Given value--- mass = 0.5 kg. radius = 0.25 m. centripetal acceleration = 9 m/s2.  We have to…

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

A: Given data:  Initial angular velocity (ω0) = 3450 rev/min Angular displacement (Δθ) = 52.0…

Q: A lab centrifuge spins at 1470 rad/s (14,000 rpm).  Suppose it has radius 8.20 cm. What is the…

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Q: How fast (in rpm) must a centrifuge rotate if a particle 7.8 cm from the axis of rotation is to…

A: The centripetal acceleration is a given by                                          a=ω2r…

Q: The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant…

A: Write the expression for centripetal acceleration.

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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: om above). When switched off, it rotates through 48.0 revolutions before coming to rest. Assuming it…

A: We know that the third equation of the angular motion is given as  ω=ω0+2αθα= ω-ω02θ…

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 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…

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Q: An object is swung in a horizontal circle with a radius of 0.75 m. If the object makes one full…

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Q: A circular disk (D = 5.63 cm) is rotating at an angular velocity of 209 rev/min and is decelerating…

A: Time taken by disc to comes to rest. ωf=ωi+αt   t=ωf-ωiα=0 rev/min-209 rev/min0.1047 rad/s1…

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