A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is 0.5 mr2. What is the total energy of the ball?

Q: A 2 kg ball with a radius of 0.35 meters is initially at rest. The rotational inertia equation for…

A: We know that Torque= Ta=Fr

Q: A 40-kg cylinder pulley with a radius of 0.2 m rotates at a constant angular speed of 4 rad/s. What…

A: mass of cylinder pulley (m) = 40 kg radius (r) = 0.2 m angular speed (ω) = 4 rads

Q: 9. A 1.4-kg 15-cm-diameter solid sphere is rotating about its diameter at 70 rev/min. (a) What is…

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Q: A 40-kg cylinder pulley with a radius of 0.2 m rotates at a constant angular speed of 4 rad/s. What…

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Q: A slender rod is 90.0 cm long and has mass 0.120 kg. A small 0.0200 kg sphere is welded to one end…

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Q: A uniform, solid sphere with a radius of 0.20 m and a mass of 0.50 kg rolls without slipping on a…

A: The formula for the moment of inertia of a solid sphere is: The formula for the total kinetic…

Q: A disk of mass 2.00 kg and radius 0.250 m is rolling (without slipping) across a floor with a linear…

A: A disk weighting 2 kg rolls without slipping across a floor with a speed of 5m/s  Total kinetic…

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

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Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…

A: Now to find velocity we can use the basic kinematics law, v2=u2+2ah We need acceleration.  For this…

Q: We can use rotating cylinder to store energy in space. Let a 10-meter-long cylinder with diameter…

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Q: The rotational inertia of a disk about its axis is 5.3kg.m^2. When a 7.1 kg weight is added to its…

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Q: A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 4.64 kg and radius 0.220 m. It is…

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Q: A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three…

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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 medium disk is moving initially with a rotational speed of 30 rads per second and a final…

A: Given: The initial angular speed is 30 rad/s. The final angular speed is 80 rad/s. The acceleration…

Q: A spring of negligible mass and spring constant k is attached to the wall on one end, and the other…

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Q: A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of…

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Q: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a…

A: The given values are, M=81.0 kgR=0.625 mr=0.230 mTu=142 Nα=1.67 rad/s2I=12MR2=1281.0 kg0.625…

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

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Q: The rotational inertia of a disk about its axis is 2.9kg.m^2. When a 5.2 kg weight is added to its…

A: Given data:  Initial rotational inertia of the disk I0 = 2.9 kg.m2 Mass (m) = 5.2 kg Distance from…

Q: A thin rod (mass 245 g) capable of rotation along a vertical axis running through its centre is…

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Q: a skater rotating at 7.25 rad/s with her arms extended has rotational inertia of 3.4 kg m square. if…

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Q: The propeller of a light plane has a length of 1.772 m and a mass of 21.96 kg. The propeller is…

A: The objective of the question is to calculate the rotational kinetic energy of the propeller. The…

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: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…

A: Given data: The weight of ball is W=70 N. Mass of pulley is m=3 kg. Radius of pulley is r=0.4 m.…

Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…

A: Given that,Mass, m=4 kgradius, r=0.5 mAngular velocity, ω=4 rad/sRotational Inertia,I=0.5 mr2We know…

Q: What is the kinetic energy of a 123 cm long thin uniform rod with a mass of 458 g that is rotating…

A: The rod is rotating about its center of mass so it has only rotational kinetic energy.  Kinetic…

Q: A 1.3-kg 20-cm-diameter solid sphere is rotating about its diameter at 62 rev/min. (a) What is its…

A: Given: The mass of the solid sphere is 1.3 kg.             The diameter is 20 cm.             The…

Q: A uniform disk with a radius of 0.3 m and mass of 59.1 kg rotates at 7.0 rad/s. What is the…

A: Calculate the moment of inertia of the disk. I=12mr2I=12(59.1 kg)(0.3 m)2I=2.6595 kg⋅m2

Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…

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

A: The energy produced by the car, The radius of the flywheel, Mass of flywheel,

Q: A disk of mass 2.00 kg and radius 0.250 m is rolling (without slipping) across a floor with a linear…

A:

Q: A 0.22kg solid cylinder is released from rest at the top of a ramp and travels 1.5m to the bottom.…

A:

Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…

A:

Q: A solid cylinder with a mass of 300.0g and a radius of 20.0cm is rotating at 50.0 rad/s.  A metal…

A: Given quantities: mass of cylinder (M) = 0.3 kg radius of cylinder (R) = 0.2 m angular speed (w1) =…

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 solid disk has a radius of 0.084 m and a mass of 5.33 kg. What is the rotational kinetic energy of…

A: given solid disk of mass (m)=5.33kg                       And radius (r)=0.084m  rate of rotation…

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…