A stone in a sling is swung in a circle of radius r = 1.2 m with a constant angular velocity of ω = 13 rad/s. Please answer the following questions. A. Calculate the magnitude of the linear velocity of the stone in the sling v in m/s.  B. Calculate the magnitude of the centripetal acceleration of the stone in the sling ac in m/s2.  C. Which of the following changes to the system would result in a larger centripetal acceleration?

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

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Q: During a very quick stop, a car decelerates at 6.75 m/s. (a) What is the angular acceleration (in…

A: Given :  Deceleration (a) = -6.75 m/s2 Radius (r) = 0.250 m Initial angular velocity (wo) = 92 rad/s

Q: What is the magnitude of the tangential acceleration of a bug on the rim of an 11.0-in.-diameter…

A: Angular velocity , ω0 = 79 rev /min = 8.27 rad /min Time , t = 4.5 s Diameter , D = 11 inch  Radius…

Q: Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its…

A: r = 0.25 cm  a = 1.5 m/s2 initial velocity, u =0  time, t =0.75 s  R = 3.5 cm

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.30 rad/s2 for wheels that…

A: Given : Angular Acceleration ( ω ) = 1.30 rad/s2 Radius ( r )= 35.0 cm = 0.35 m   Linear…

Q: Problem #1: A wind turbine is rotating counterclockwise at 0.25 rev/s and slows to a stop in 12 s.…

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Q: A flywheel slows from 643 rev/min to 427 rev/min while rotating through 53 revolutions.   (a) What…

A: In the given question , We have to determine the values of the given parts.

Q: A truck starts from rest and in 75 seconds it travels 1 mile. The wheels of the truck have a…

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Q: A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that…

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Q: A bug with a mass of .05 kg sits on a rotating disk, 10 cm from the center of rotation. The disk is…

A: (a)The schematic labelled diagram of the system is:

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Q: A 3.5-inch floppy disk in a computer rotates with a period of 1.4 × 10−1 ?. What are (a) the angular…

A: (a) The angular speed (ω) of the disk is given by, Here, T = 1.4 x 10-1 s denotes the time period…

Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a…

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Q: The Earth makes one full rotation about its axis in approximately 24 hours, or 86,400 s. It rotates…

A: As per our guidelines we will solve first three parts for you. To get remaining parts solved please…

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Q: Mary and her younger brother Alex decide to ride the 17-foot-diameter carousel at the State Fair.…

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Q: A merry-go-round makes 24-revolutions in a 3.0-minute ride. a) What is its average angular speed?…

A: No. Of revolutions made = 24  Time taken to made these revolutions = 3 min.

Q: A cyclist accelerates from rest. After 12 s, the wheels made 5 rev. (a) What is the angular…

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Q: Suppose you are standing within the rim of a circular space station, in outer space. The rim…

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Q: A spectator standing in the center of a circular running track observes a runner starting a practice…

A: Given data: Radius of the circular track, r=256 m Time taken to cover the distance, t=20.0 s

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A: The centripetal acceleration here is The maximum angular velocity is

Q: Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. Some time later, after…

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Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Linear velocity, v = 2.2 x10-5 m/s Radius, r = 1.9 x10-8 m

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Q: Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair.…

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Q: A Google search revealed that the disc in a CD player spins at between 200 and 500 revolutions per…

A: Given:  initial frequency, frequency, f = 200 rpm = 3.33 rps  final frequency, f' = 448 rpm = 7.47…

Q: A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 526.0 N. At…

A: (A) The apparent weight at the top of the ride will be W' = W + 1.5  = 526 + 1.5 = 527.5 N

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

A: The closure portion of the blink takes only about 55 ms =55×10-3 s Angular displacement of 15.2° =…

Q: During a 5.1 s time interval, a flywheel with a constant angular acceleration turns through 451…

A: Given: The time interval is 5.1 s. The angular displacement is 451 rad. The final angular velocity…

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular…

A: The final angular velocity, ωf=100,000revmin×2π rad1 rev×1 min60 s=105×102 rad/s   The time taken,…

Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…

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Q: A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels that…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: At the Olympics, a discobolus “discus thrower" starting from rest, spins up to an angular velocity…

A: w =  20 rad/sec v = 18 m/s angle = 30 degree

Q: A grindstone of radius 4.0m is initially spinning with an angular speed of 8.0 rad/s. The angular…

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Q: A small object with mass 3.80 kg moves counterclockwise with constant speed 1.70 rad/s in a circle…

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Q: An athlete swings a 4.20-kg ball horizontally on the end of a rope. The ball moves in a circle of…

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

A: Let us consider the ability of the human eye to rapidly rotate and being studied using contact…

Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a…

A: It is given that

Q: If a centrifuge pushes the astronauts to 5g's with a radius of 10m, (i) what is the angular…

A: Acceleration = 5 g = 5 * 9.8 = 49 m/s2 Radius (R) = 10 m I) Using formula for centripetal…

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.