a skater rotating at 7.25 rad/s with her arms extended has rotational inertia of 3.4 kg m square. if she pulls in her arms so her rotational intertia decreases to 2.2kg m square, what is her final angular speed?

Q: If the student generated a 19NM torque for 4.0s to a wheel with a mass of 4.0kg and a radius 0.30m,…

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Q: A wheel having a moment of inertia of 5.00 kg*m2 starts from rest and accelerates with a constant…

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Q: A dancer is spinning with his arms extended. In this position his rotational inertia is 1.5 kg m?.…

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Q: A cylinder with rotational Inertia I, = 3.4 kg • m? rotates clockwise about a vertical axis through…

A: Since both cylinders rotate with the same axis, the angular speed of the combination is…

Q: A ball (mass = 8.5 kg) is rolling at a constant angular acceleration of 1.670 rad/s2.  If its…

A: According to the rotational kinematics equation, the angular displacement of the particle is,…

Q: A wheel accelerates with a constant angular acceleration of 4.5 rad/s^2. If the initial angular…

A: Given data:  Angular acceleration (α) = 4.5 rad/s2 Initial angular velocity (ωi) = 1.0 rad/s Time…

Q: A certain wheel has a rotational inertia of 7.5 kg.m2. As it turns through 2.2 revolutions, its…

A: From kinematic relation for angular motion

Q: A motor is accelerating at 0.6 rad/s2 while it covers 20 rad. If it reaches a final angular velocity…

A: Angular acceleration (α) = 0.6 rads2Angular displacement (θ) = 20 radfinal angular velocity (ωf) = 8…

Q: A wheel of moment of inertia of 4.00 kg∙m2 starts from rest and accelerates under a constant torque…

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Q: A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41…

A: The equation of motion corresponding to angular motion is

Q: When a solid sphere is rotating at a constant angular w = 2.5 rad/s, what is the rotational kinetic…

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Q: A bicycle wheel is rotating at a fixed axis with an initial angular velocity of 0.4r rad s' and…

A: Given data: Initial angular velocity (ω0) = 0.4π rad/s Angular acceleration (α) = 1.2π rad/s2 Time…

Q: A disk with moment of inertia 7.3 kg m^2 spins at 19 rad/s about its center axis. If a brake exerts…

A: Given :     Moment of inertia, I = 7.3 kg m2    Angular velocity, ω = 19 rad/s   Force, F = 80 N…

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s?. If the angular speed of the…

A: S

Q: A rigid object is initially at rest and set into rotational motion under a constant angular…

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Q: A spinning figure skater has a moment of inertia of 1.00 kgm2 with her arms tucked close to her body…

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Q: An electric fan turns with constant angular acceleration of 1.24 rad/s^2. How much time does it take…

A: Given, Angular acceleration, α=1.24 rad/s2 Initial angular speed, ω0=0 rad/s Final angular speed,…

Q: If a 500 N.m torque on a wheel causes angular acceleration 2.5 rad/s2, what is the wheel’s…

A: Torque is the rotational analog of linear force. It gives a body an angular acceleration. The…

Q: A figure skater is spinning at 10.8 rad/s with her arms extended. Her rotational inertia is 2.50…

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Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.20 x 104…

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Q: A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If…

A: Given data The cylinder's inner radius is: r = 10 cm = 0.1 m The outer radius of the cylinder is: R…

Q: A pulley has an initial angular speed of 12 rad/s and a constant angular acceleration of 2 rad/s2.…

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Q: A 12N.m torque is applied to a flywheel that rotates about a fixed axis and has a moment of inertia…

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Q: The rotor of a lab centrifuge has moment of inertia 0.0113 kg m^2 and spins at 1470 rad/s. If a…

A: The given data are: I=0.0113 kg.m2ω=1470 rad/sF=16 Nr=0.075 m Here, I, ω, F, and r represent the…

Q: The rotational inertia of a disk about its axis is 1.4kg. m² . When a 6.8 kg weight is added to its…

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Q: A disk with a moment of inertia of 7.3 kg m^2 spins at 19 rad/s about its center axis. What is its…

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Q: Awheel (radius 0.20 m) starts from rest and rotates witha constant angular acceleration of 2.0…

A: Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight…

Q: A loop has a rotational inertia of 0.14 kg m when spinning about its central axis. It takes 1.5 s to…

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Q: If a ball with a mass of 150 g and a radius of 3.7 cm has a linear velocity of 33 m / s and an…

A: The mass of the ball, m=0.15 kg   The radius, r=0.037 m   The linear velocity, v=33 m/s   The…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 36.6…

A: angle covered in 13 revolution (θ) = 13x2π = 26 π ωf2-ωi2=2αθ α = 7.567 m/s2

Q: A uniform rod of mass m = 5.3kg and length l = 1.3m rotates about a fixed frictionless pivot located…

A: As the rod rotates in vertical plane so a torque acting on it is due to the vertical component of…

Q: The rotational inertia of a disk about its axis is 8.3kg. m². When a 3.2 kg weight is added to its…

A: Moment of inertia of disk = 8.3 kg.m2  Mass added to rim = 3.2 kg  Distance of mass from axis of…

Q: A spinning figure skater has a moment of inertia of 1.00 kgm2 with her arms tucked close to her body…

A: Given,  moment of inertia of skater when arms tucked close to her body , Iclosed = 1.00 kgm2 moment…

Q: The initial angular velocity of the wheel is 6 rad s-1, it rotates with a constant angular…

A: Given that, The initial angular velocity of the wheel, ωi=6 rad/s Final angular velocity, ωf=0 rad/s…

Q: A rigid object under a constant angular acceleration has an initial angular velocity of 20.7 rad/s.…

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Q: If a 32.0 Nm torque on a wheel causes angular acceleration 25.0 rad/s2, what is the wheel’s…

A: Write the expression for torque

Q: An ice skater spins at 13.2 rad/s with her arms extended. If her moment of inertia with arms folded…

A: Given : Angular velocity of the ice skater when arms extended, ω1 = 13.2 rad/s Moment of inertia…

Q: A solid sphere with a radius of 0.44 and a mass 0.26 is set to rotate about its center. After a time…

A: m=Mass of sphere=0.26 kgr=Radius=0.44 mt=Time=12.1 sω=Angular velocityKr=Rotational kinetic…

Q: A solid disk of radius 1.60 m and mass 2.30 kg  rolls without slipping to the bottom of an inclined…

A: Radius of the disc R=1.60 m The mass of the disc m=2.30 kg The angular velocity of the disk at the…

Q: wheel with a moment of inertia of 25 kg m2 is subjected to a torque of 100 Nm. What angular…

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Q: A crankshaft rotating at 2.45 rad/s undergoes an angular acceleration of 0.590 rad/s^2. What is the…

A: Given:-  A crankshaft rotating  with the angular velocity is ωi=2.45 rad/sec  The angular…

Q: An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s.…

A: Given data: Initial angular velocity, ωi=2.9 rad/s Initial moment of inertia, Ii=2.84 kg.m2 Final…

Q: A circular disk has a rotational inertia of 9.1 kg.m² and a constant angular acceleration of 8.1…

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Q: If a wheel's moment of inertia is 1.00 kg m^2 about its rotation axis, what constant torque is…

A: Given data The moment of inertia is given as I = 1 kgm2. The final angular speed of the wheel is…

Q: A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg·m2 when…

A: Given data The initial angular velocity of the skater is given as ωi=25 rad/s. The initial moment…

Q: A 15 kg solid cylinder with 3 m radius is rotating at 2 rad/s. The rotational kinetic energy is O a.…

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Q: A rotating object's angular position is given by ?(t) =(1.91t2 − 7.30t + 2.75) rad, where t is…

A: θ(t) = 1.91t2 - 7.3t + 2.5 rad w = dθ(t)/dtw = 3.82t - 7.3 rad/sα = dw/dt α = 3.82 rad/s2