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 disk with a mass of "m" kg and radius of "r" meters (l =1/2mr^2) rolls without slipping at "v"…

A:

Q: The rigid body shown is rotated about an axis perpendicular to the paper and through the point P. If…

A: Given Two objects of mass M and 3M where M = 0.4 kg a = 30 cm = 0.3 m b = 50 cm = 0.5 m angular…

Q: A disk with a rotational inertia of 5.0 kg ˑm 2 and a radius of 0.25 m rotates on a frictionless…

A: The expression for the angular acceleration is,

Q: A 1656 kg solid sphere with a radius of 1.3 m rolls without slipping down an incline of θ = 31o. If…

A: Given:- The mass of the solid sphere m = 1656 kg  The radius of the roller is r = 1.3 m  incline of…

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 rotor  with an initial angular speed of 3 rad/s accelerates at the rate of 2 rad/s2 to a final…

A: The time taken for the given case is ω=ω0+αtt=ω-ω0α=26-3 rad/s2 rad/s2=11.5 s

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

A:

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

A:

Q: Re As shown below, a hollow cylinder with a mass 0.354 kg and an inner radius of 20 cm and an outer…

A: Moment of inertia of a hollow cylinder of mass M with inner radius "a" and outer radius "b" is given…

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

A:

Q: The disk with radius ofR= 0.3 m and mass of m =2 kg rotates around an axis that is passing through…

A: Given: mass, m=2 kg radius, R=0.3 m diameter, d=R2=0.32=0.15 m angular acceleration, α=9.6 rad/s2

Q: A thin, 200 gg disk with a diameter of 8.00 cmcm rotates about an axis through its center with 0.15…

A: Mass, m = 200 g = 0.2 kg Diameter, d = 8 cm = 0.08 m Radius, r = d/2 = 0.04 m Kinetic energy, K =…

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

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: 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…

A:

Q: 18. A 510-kilogram wrecking ball is free to swing from a 12 meter long wire. The ball has a maximum…

A: 18. The maximum angular displacement of the ball is very small (θ=π20 radians=1.8°). Therefore the…

Q: A medical saw is rotating at a constant rate of 15 revolutions per second. Calculate its angular…

A: Given value--- angular speed = 15 revolution per sec. We have to find--- angular speed in rad per…

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…

A:

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

A:

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

A:

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

A:

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

A:

Q: Find the tension in the lower (slack) segment of the belt.

A: The equation for torque can be given as The moment of inertia of the flywheel can be given as The…

Q: A 150 g baseball is pitched at 36.54 m/s and spinning at 42 rad/s. You can treat the baseball as a…

A:

Q: At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0.1 rad/s^2 has…

A:

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…

A:

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: disk-shaped motor component is running with angular velocity ω0=16.26 rad/s around its axis of…

A:

Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…

A:

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

A:

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…

A:

Q: A flywheel is a disk that is 0.3 m in radius and has a mass of 15kg. Mechanical energy can be stored…

A: The objective of the question is to find the angular speed required to spin the flywheel in order to…

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

A:

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…