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: 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 high-speed drill rotating counterclockwise at 2000 rpm comes to a halt in 3.0 s. a) What is the…

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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: A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular…

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Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 21 s. Its blades…

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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: 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: 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: 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…

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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: A cooling fan is turned off when it is running at 860 rev/minrev/min . It turns 900 revolutions…

A: Given: The initial angular velocity of the fan is 860 rev/min. The number of revolutions is 900. The…

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

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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: 4.0

A: The answer is 3 seconds.

Q: What is the angular speed of the wheel at theend of the 4.20-s interval?

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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: Chinook, a military helicopter, has two three-blade rotor systems, each turning in opposite…

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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: A 45.0cm diameter disk rotates with a constant angular acceleration of 2.50rad/s. It start from rest…

A: Given, Diameter of disk d = 45 cm =  0.45 m Angular acceleration α=2.50 rad/s2 t = 2.30 s Angle θ =…

Q: An ultracentrifuge accelerates from rest to 9.93 x 105 rpm in 2.23 min. What is its angular…

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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: An ultracentrifuge accelerates from rest to 9.83 x 10° rpm in 2.23 min. What is its angular…

A: Given : Initial angular velocity (wo) = 0 Final angular velocity (w) = 9.83 x 105 rpm = 9.83 x…

Q: A wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 13 s. Its blades…

A: We have to use some basic formula here

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: When a carpenter shuts off his circular saw, the 10.0-inch-diameter blade slows from 4385 rpm to…

A: Given:Diameter of the blade = 10 inchRadius of the blade = 5 inchAngular velocity = 4385 rpmTime…

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 wheel stops from 120 rad/sec in 3.0 revolutions. What is the angular acceleration?

A: The expression for the angular acceleration is α=ΔωΔt α is the angular acceleration, ∆ωis the…

Q: Bob wants to be a pilot, so he tested for the stresses of flying high-speed jets in a whirling,…

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Q: An ultracentrifuge accelerates at a constant rate from rest to 108500rpm in 2 minutes. All questions…

A: Using formula for the constant angular acceleration :that is ;ω=ω∘+αtω→final angular…

Q: A point on the rim of a 0.81 m radius rotating wheel has a centripetal acceleration of 6.9 m/s².…

A: The Centripetal acceleration formula is given by :                            ac = ω2r where,   ω =…

Q: An ultracentrifuge accelerates from rest to 9.97×10^5 rpm in 1.51 min. What is its angular…

A: Given information: The initial angular velocity, ωi=0 The final angular velocity, ωf=9.97×105…

Q: cylinder spins along its symmetry axis at 20 rad/s and linearly slows down to a stop over 2 seconds.…

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Q: A fan blade with a diameter of 1.373 m is rotating at a rate of 3898 revolutions per minute. A piece…

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Q: The tires of a car make 85.0. revolutions as the car reduces its speed uniformly from 90.0 km/hr to…

A: Given Angular displacement of the tires is θ=85.0 rev=(85.0×2π) rad=534.07 rad Initial speed is…

Q: A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter)…

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Q: A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular…

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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.