When a pitcher throws a baseball, the rotational speed is important when it comes to making the ball “break”, or curve away from its expected motion. A baseball that has a mass of 0.143 kg and a radius of 3.65 cm can rotate at a rate of 1.80 x 103 rpm on its way to home plate, causing the ball to curve! Suppose this baseball is rotating around an axis through its center at this extreme rate. What is the rotational kinetic energy of the baseball as it travels toward home plate? Model the baseball as a solid sphere, ICM = 2/5MR2

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: A turntable 46 cm in diameter starts from rest and makes its first complete revolution in 3.60 s…

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Q: A 10kg ball with a 1.5-meter radius is initially at rest begins to roll and accelerate at a uniform…

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Q: The rotor of an electric motor has rotational inertia Im= 2.55 x 10-3 kg-m² about its central axis.…

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Q: A circular bird feeder 19 cm in radius has rotational inertia 0.17 kg⋅m2. The feeder is suspended by…

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Q: What is the rotational inertia of a cylindrical ring about its central axis. It has an inner radius…

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Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…

A: initial angular speed (w) = 0 final angular speed = 120 rev/min  = 2 rev/sec  = 12.57 rad/s t = 20…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavyweight in…

A: L: angular momentum Just as p = mv, L = Iω, I = sum of mr² L₀ = 2mr₀²ω₀ Lf = 2mrf²ωf

Q: A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.…

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Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

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Q: thin uniform-density rod whose mass is 2.5 kg and whose length is 2.8 m rotates around an axis…

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Q: A 35-kg child stands on the edge of a playground merry-go-round that has a radius of 2.1 m and a…

A: The mass of the child: The radius of the merry-go-round: The rotational inertia: The initial…

Q: The rigid object shown below consists of three balls and three connecting rods, with M = 1.6 kg, L =…

A: Given, Mass, M=1.6kg θ=30° Angular speed, ω=1.2rad/s a. Moment of inertia about an axis passes…

Q: A flywheel in the form of a uniformly thick disk of radius 1.78 m has a mass of 35.6 kg and spins…

A: Given: The mass of the wheel is 35.6 kg. The radius of the wheel is 1.78 m. The initial angular…

Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…

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Q: A disk of mass M and radius R rotates with an angular speed w about an axis through its center, an…

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Q: The rotor of an electric motor has rotational inertia Im about its central axis. The motor is used…

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Q: An airplane propeller is 1.99 m in length (from tip to tip) with mass 108 kg and is rotating at 2200…

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Q: A disc with radius 0.060 m and rotational inertia 0.051 kg.m^2 has a rope wrapped around its…

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Q: A firm wants to determine the amount of frictional torque in their current line of grindstones, so…

A: Solution: Given data ω0=700 rev/min mass = 1.1 kg r=7.70 cm=7.7×10-2 m (a) Angular acceleration of…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

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Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Solution: Given: r1 = radius of merry go round = 1.54 m I1 = rotational inertia of merry go round =…

Q: A bowling ball that has a radius of 11.0 cm and a mass of 7.00 kg rolls without slipping on a level…

A: radius of bowling ball (r) = 11 cm = 0.11 m mass of bowling ball (m) = 7 kg angular velocity (ω) = 4…

Q: spnere DIis dow n tn to roli, the gravita potentia ergy becomes: (select one best answer)

A: The explanation is given below

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: Given,  Energy produced by car, KE = 3.38×10^9 Radius of flywheel, 'r' = 0.517 m Mass of flywheel,…

Q: An airplane propeller spins at 2,000 rev/min while the airplane files at at a speed of 476 m/s…

A: Here, the important step to note is that the rotational speed of top  and the flying speed of the…

Q: uto has a mass of 1.31  1022 kg and a radius of 1.18  106 m. Assume it is a uniform solid sphere.…

A: (a) Rotational kinetic energy of Pluto on its axis EK=12Iω2=1225mr2ω2=15mr2ω2=151.31×1022 kg1.18×106…

Q: An aluminum cylinder of radius 12m, length of 20m, and thickness of 0.02m is spinning in space at…

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Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: (given) Initial angular speed = 10 rpm Final angular speed = 40.5 rpm Distance (r1) of the weight…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Given:  Initial angular speed, ω₁ = 10.0 rpm  distance of the weight from the axis of rotation, r₁ =…

Q: The three 550 g masses in the daigram are connected by massless, rigid rods to form a triangle. What…

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Q: A solid uniform spherical boulder travels down a hill. At the top of the hill the boulder is rolling…

A: Given:

Q: 20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47…

A: Rotational concept

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: We will first write an expression for rotational kinetic energy of an object. Then we use the given…

Q: A bicycle has wheels of radius 0.320 m. Each wheel has a rotational inertia of 0.0800 kg⋅m2 about…

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Q: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.59 m and 0.98 m,…

A: Given:  R = 7.59 m, f = 456 rev/min r = 0.98 m, f' = 4143 rev/min Speed of sound = 343 m/s

Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…

A: given that,Energy E = Mass of flywheel m = 34.8 kg Radius of flywheel R = 0.577 m, now we find the…

Q: A pulley with an unknown mass has a 0.3m radius that is initially at rest. The rotational inertia of…

A: Given that, A pulley with an unknown mass has a 0.3m radius that is initially at rest. The…