A large ball (radius=0.75m) with an initial rotation speed of 36rad/s is rolling up an incline without slipping . If 54m up the incline it has slowed to a rotation rate of 12rad/s, what is its angular and linear deceleration? How far up the ramp will it go before starting to roll back down? How long will it take the ball to roll back down to its initial starting position?

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: a) Angular speed = (88.2/4.95 )1/2                                 = 4.22 rad/s

Q: A flywheel is rotating at 20 rev/min and speeds up to 50 rev/min in 90 seconds. What is the angular…

A: Given: Initial rotations of wheel (N1) = 20 rev/min. Final rotations of wheel (N2) = 50 rev/min.…

Q: A car starts from rest and accelerates 0.800 m/s2 to the right for 20.0 s.  (The tires do not slip.)…

A: Given,  a = 0.8 m/s2  t = 20 sec  r = 0.330 m  Let the distance travelled by the car be S We will…

Q: An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of…

A:

Q: Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight…

A: Radius of Wheel R = 0.6 m  Angular acceleration α = 4.49 rad/s2 Number of revolutions = 15  Initial…

Q: An object with a radius of 0.56 m is rolling across the level ground in a straight line with an…

A: Radius of object (r) = 0.56 mInitial speed (vi) = 20.5 m/s Initial angular speed (ωi) = vi/r=> ωi…

Q: A computer drive disk with a radius of 0.065 m is turned on starting from rest with a constant…

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Q: When a fan is turned off, it's angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s.  a) What…

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Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5 rad. If…

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

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Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: (a) angular speed is, ac=rω2ω=acrω=88.2 m/s24.04 mω=4.67 rad/s

Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 17 s. Its blades…

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Q: A person pushes a merry-go-round from rest to a final angular speed of 0.540 rev/s with constant…

A: According to the given data ωf=0.540rev/s θ=2rev ωi=0    {  Initially at at } We need to find…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: R, radius = 4.80 m acceleration, ac= 9g = 88.2 m/s2

Q: An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 210…

A: Initial angular velocity = 500 rev/min final angular velocity = 210 rev/min time (t) = 4 sec

Q: A windmill wheel makes 4.5 rotations a second. If the windmill wheel slows down to a complete stop…

A: The objective of the question is to find the angular acceleration of the windmill wheel which slows…

Q: What is the angular velocity of the disc at 0.9 s? What is the angular displacement of point P at…

A: we have given  f = 300 rpm   f=30060rps initial angular velocity ωo=2πf=2π×(30060) ωo=10π angular…

Q: An 8.0 m radius merry-go-round completes one revolution every 7.0 s. (a) What is the angular…

A: Given data:  Radius (r) = 8.0 m Time period (T) = 7.0 s Required: The angular velocity, linear…

Q: 0 cm undergoes constant acceleration from rest to 5.1 rad/s in 2.6 s for a dust particle sitting on

A: Given-Radius R=60 cm=0.6 mInitial angular speed ω0=0 rad/sfinal angular speed ω'=5.7 rad/stime t=2.6…

Q: A CD originally spinning at 636.9 revolution per minute slows down uniformly until it comes to a…

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Q: A compact disk or DVD rotates at a fairly high velocity while a laser head bounces light off the…

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Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.10 min. (a) What is its angular…

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Q: A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her…

A:

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: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: (a) The centripetal acceleration in terms of angular speed is given by, ac=rω2 Here, r is the radius…

Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 8 rad. If…

A:

Q: A engine wheel with 2 meter radius starts and rotates with an accleration of 5 rads/s2. whats the…

A: Angular acceleration α=5 rad/s2 Time t=5 s Radius r=2 m

Q: A wheel initially moving at an angular velocity of 63rads/s slows down with a constant angular…

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Q: A DVD is rotating counterclockwise at constant angular acceleration. If it comes to a stop after…

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Q: During a very quick stop, a car deceleraes at 7.00 m/s^2. a. What is the angular acceleration of…

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Q: 4.0

A: The answer is 3 seconds.

Q: A disk iwth a 0.45 m radius rotates from rest with a constant angular acceleration of 0.24 rad/s2,…

A: Radius of object is Angular acceleration is Initially object is at rest Time is Note:Find:(a)…

Q: A diver is diving from a height of 20 m. First, he makes a rotation (body tucked). At the end of…

A: Using the kinetic equation, ∆y=vot+12at2 Here, initial velocity vo=0 for no initial vertical…

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: A bug on the outside of a wheel rotates at a constant angular rate. You measure the bug to pass…

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Q: An object rotates through 5.2 radians in 4.6 seconds as it accelerates uniformly from rest. What is…

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Q: The crankshaft in a race car goes from rest to 3000 rpmrpm in 3.5 ss. What is the angular…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 3000 rpm. The time interval…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

Q: A centrifuge is spinning through an angle given by 262.8e^-18.1t +25 radians. what is the angular…

A: angular acceleration is defined as the double derivative of the angle with respect to time is…

Q: .0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 35.0 seconds after…

A: Given that: The diameter of the fan, d=65 cm The radius of the fan,  r=652=32.5 cm=0.325 m The…

Q: The blades of fan running at low speed turn at 65 rad/sec. when the fan goes in high speed , the…

A: ω0 = 65 rad /sec ω = 95 rad /sec ∆T = 5.5 seconds . To find = a) Magnitude of angular acceleration…

Q: A circle table rotates with a constant angular acceleration. After 4.00 s it has rotated through an…

A: Given data, Angular acceleration α=2.25 rad/s2 Time t=4 s Angular displacement θ=60 rad

Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to a constant…

A: Angular velocity = W0 = 17 rad/s angular acceleration = α= 7 rad/s2 number of revolutions = n = 3…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.