28 ) A 20-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, is rolling toward you at a speed of 3.0 m/s. (a) What is the magnitude and direction of the pipe’s angular velocity vector  w ?   The pipe’s angular velocity is ____rad/s which acts to the (right or left)   b) What is the pipe’s rotational energy?   The rotational energy of the pipe is ___J     c) What is its total energy K + U^rot?

Q: A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a…

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Q: What is the new rotational energy of the system? answer have to be in kJ How much chemical…

A: The magnitude of the angular momentum of the system can be given by,     Li=m1v1r1i+m2v2r2i=2mv(d2)⇒…

Q: 4) A 120Kg disk with a radius of 10 cm rolls without slipping. If the linear speed of the disk is…

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Q: A hoop of mass 4 kg and radius 0.1 m is rolling without slipping. It has a translational speed of v=…

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Q: A hollow sphere with a mass of 2.1 kg and radius of 0.15 m rolls without slipping down an incline of…

A: Given, mass of hallow sphere m = 2.1 Kg Radius of hallow sphere r = 0.15 m Incline angle θ=35∘…

Q: A uniform circular disk of moment of inertia 8.0 kg m2 is rotating at 4.0rad/s. A small lump of mass…

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Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 51 rev/min. r =…

A: The angular frequency, ω = 51rev/min = 5.34rad/s. The time period of rotation of the wheel is

Q: A uniform solid sphere of mass 0.4 kg and diameter 10 cm rolls from rest without slipping down a 30°…

A: mgh=12mv2+12Iω2mglsinθ=12mv2+1225mr2vr2lgsinθ=710v2v2=107lgsinθ=1078.0 m9.8 m/s2sin30°=56 m2/s2

Q: of

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Q: Pluto has a mass of 1.31 x 102 kg and a radius of 1.18 x 10 m. Assume it 5.91 x 10 m. (Assume Pluto…

A: Given, mass of pluto is m=1.31×1022kg radius of pluto r=1.18×106m distance between the sun and Pluto…

Q: The rotor of a jet engine rotates clockwise and idles at 10,000 rpm. When the fuel is shut off, the…

A: Initial angular speed ωo = 10000 rpm  As 1 rpm = 0.10472 rad/s Thus ωo = 10000 × 0.10472 = 1047.2…

Q: A circular disk of mass U.D radius, rotating freely at 3.5 rad/s. a) Find the new angular velocity…

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Q: 9) A wheel with radius 50.0 cm is rotating with 3500 rpm. It slows down to 50 rpm in 40 seconds. (a)…

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Q: 15) An object of mass 0.5 kg., moving in a circular path of radius 0.25 m, experiences a centripetal…

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Q: 2. Two equal and opposite forces each of magnitude 40 N are applied to the rim of a wheel makes 12…

A: (i) Angle of revolution= θ         θ=12(2π)=24π rad (ii) Torque =τ          τ=2Tr=2(40)(2.5)=200 Nm…

Q: What is the angular momentum of a 3.0-kg uniform cylindrical grinding wheel of radius 26 cm when…

A: Angular momentum is defined as the product of moment of inertia and angular speed. L = I*ω where,…

Q: A bicycle with 40.20 cm diameter wheels is traveling at 11.80 km/hr. At what angular speed do the…

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Q: A circular disk of mass 0.5 kg and radius 21 cm, initially not rotating, slips down a thin spindle…

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Q: A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 m and a total mass…

A: A large wooden turntable in the shape of a flat uniform disk has- Radius R=2.0 m mass M=1.30×102 kg=…

Q: Lis r. What is the I/l ratio of the moments of inertia of the Kand L wheels.

A: 3) A wheel’s rotational kinetic energy can be represented as, Here, I, ω, v, and R represent the…

Q: A solid sphere has a larger rotational inertia than a solid cylinder, they have the same mass and…

A: For translational kinetic energy:K=12mv2For rotational kinetic energy:K=12Iω2Here, we can see…

Q: 8: A sphere, I= 0.45 kg m' and r= 8 cm, is initially rotating at 22 rad/s. You put your hand on the…

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Q: A circular pulley of radius 0.35 [m] can rotate on frictionless bearing. A massless string passes…

A: Given: In this question, the given details are, A circular pulley of radius 0.35 m can rotate on…

Q: A uniform sphere with mass 22.0 kgkg and radius 0.340 mm is rotating at constant angular velocity…

A: Given Data: The mass of a uniform sphere is, m=22.0 kg The radius of a sphere is, r=0.340 mm The…

Q: having negligible masses in the figure, and Solid rods running along the y-axis connect the three pa…

A: rotational kinetic energy =(1/2)Iw2

Q: Two wheels A and Bin the figure are conn the ratio of the rotational inertias IIR if t

A: The questions are answered below

Q: A son disk of mass equal to 7.0 kg and radius of 30 cm changes its rotations gradually from 45 rpm…

A: The mass of the solid disk: The radius of the solid disk: The initial angular velocity: The final…

Q: An object of mass 1.5 kg does rotational motion. Its angular velocity is 30 rpm and the radius of…

A: Kinetic energy of the object in rotational motion Krot=12Iω2=12mr2ω2

Q: A neutron star of mass 2 x 100 kg and radius 11.1 km rotates with a period of 0.02 seconds. What is…

A: The moment of inertia here (for a disk) can be given by I=25MR2                      ...... (I) The…

Q: A vehicle is slowing down at a rate of 2.5 m/s^2. If the tires of radius 0.30m have initial angular…

A: (a) The initial velocity is given by ω0=75 rad/s1 rev2π rad60 s1 min=716 rpm (b) The angular…

Q: A 20-kg sphere 0.05 m in radius starts from rest and rolls (without slipping) 8.0 m down a ramp that…

A: a) Analyze the following figure. Applying Newton’s 2nd law along the X-axis,  Here, m, g, a, and f…

Q: 1.) An object is rotating about an external axis with a constant tangential velocity of 10m/s. The…

A: Given: The tangential velocity is 10 m/s.             The linear velocity is 3 m/s.              The…

Q: A turntable with a rotational inertia of 0.0120 kg-m' rotates freely at 2.00 rad/s. A circular disk…

A: Given dataThe initial moment of inertia of the turntable is Ii_t = 0.0120 kgm2The initial angular…

Q: A turntable rotates at 33 rev/min. Calculate the angular velocity of the turntable. 3.46 rad/s You…

A: Distance from the center of the rotating turntable = 0.14 m v = rωwherev = linear velocityr= radius…

Q: Integrated Concepts - You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is…

A: Given: Weight of the disk is 90 kg Radius is 0.340 m Radial force is 20 N

Q: A solid sphere of mass 2.0 kg and radius 0.010 m rolls with a speed of 16 m/s. How high up an…

A: Given data The mass of the solid sphere is given as m = 2 kg. The radius of the roll is given as r…

Q: A person of mass 78 kg stands at the center of a rotating merry-go-round platform of radius 2.9 m…

A: Given: The mass of the person is 78 kg. The moment of inertia of the merry-go-round is 840 kg.m2.…

Q: a) A diver leaps from a platform and immediately goes into a tuck position. If we assume that the…

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Q: The angular position of a point on a wheel is given as θ = 5 + 10t + 2t^2 (rad). If the distance of…

A: Given  θ = 5 + 10t + 2t^2 (rad) time t=2sec r=0.5m

Q: An ice skater, whose rotational inertia is I = 4 kg·m2 with her arms close to her body, is spinning…

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Q: A constant horizontal force of 10 N is applied to a wheel of mass = 10 kg and radius of 0.3 m. The…

A: Given, A constant horizontal force of 10 N is applied to a wheel of mass 10 kg and radius of 0.3 m.…

Q: The mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m. (a) Estimate the…

A: The earth is in the form of a solid sphere. The moment of inertia of solid sphere of uniform density…

Q: A bus contains a 1400 kg flywheel (a disk that has a 0.65 m radius) and has a total mass of 10200…

A: Given data:     The disk radius is: r = 0.65 m The mass of flywheel is: M = 1400 kg  The total mass…

Q: (a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic…

A: Mass of earth = M Let the radius of eart = R

Q: 2. A 20-kg sphere 0.05 m in radius starts from rest and rolls (without slipping) 8.0 m down a ramp…

A: