A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 187-mile trip in a typical midsize car produces about 2.84 x 109 J of energy. How fast would a 9.42-kg flywheel with a radius of 0.237 m have to rotate to store this much energy? Give your answer in rev/min.

Q: A 870 kg car has four 14 kg wheels. When the car is moving, what fraction (K rotational /K total) of…

A:

Q: In the figure, two blocks, of masses m=1.69 (kg) and M=3.65 (kg), are connected by a light string…

A:

Q: In the figure, a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without…

A:

Q: wheel starts from rest and in 11.15 s is rotating with an angular speed of 5.660 ? rad/s. (a) Find…

A:

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 turntable with a moment of inertia of 0.028 kg∗m^2 rotates freely at 3.3 rad/s. A circular disk of…

A: Given data The initial moment of inertia of the turntable is Ii_t = 0.028 kgm2 The initial angular…

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 wheel of radius 0.20 m is mounted on a frictionless horizontal axis. The rotational inertia of the…

A:

Q: three 0.0100 kg particles have been glued to a rod of length L= 6.00 cm and negligible mass and can…

A:

Q: In the figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a…

A: mass of particles , m = 0.8 kg mass of rod , M = 1.1 kg Angular speed , ω = 0.34 rad/s d = 5.4 cm =…

Q: A figure skater begins to spin in an angular speed w about a vertical axis with her arms…

A: Given : Initial angular speed of the skater = ω Initial Moment of inertia of the skater = I Final…

Q: An experimental car is designed to work by accumulating energy in a flywheel' shaped as a uniform…

A: a) The moment of inertial of the flywheel (assuming uniform disk). I=12mR2=12631.5 kg1.3 m2=533.6 kg…

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

A:

Q: A solid cylinder with a rotational inertia of (1/2 )MR2 is released from rest and rolls without…

A:

Q: a rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod…

A:

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

A:

Q: In the figure, two particles, each with mass m = 0.78 kg, are fastened to each other, and to a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider a wheel and axle assembly rolling down a pair of inclined rails. The reason why the wheel…

A:

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A:

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

A:

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

A:

Q: A centrifuge has a rotational inertia of 5.50 × 10−3 kg m2. How much energy must be supplied to…

A:

Q: A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie…

A:

Q: A 2.00 kg solid, uniform sphere rolls without slipping across a level surface, translating at 3.50…

A:

Q: In the figure. two particles. each with mass m 0.95 kg. are fastened to each other, and to a…

A: Given,mass of the each particle, m = 0.95 kglength of the rod, d = 5.8 cmmass of the rod, M = 1.0…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…

Q: The solid spherical Earth has a mass M=6.0x1024 kg, a radius R=6.37x106 m, and orbits the Sun at a…

A:

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

A:

Q: Rotational kinetic energy is yet another mass-dependent engineering quantity. An object having a…

A:

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A: Given : Mass (m) = 540 kg Radius (r) = 0.700 m Revolutions per minute (f) = 5.50 * 103 rev/min We…

Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…

A:

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: The moment of inertia of the rod is, I=mL2=2.59 kg0.745 m2=3.72 kg·m2 The angular speed of the…

Q: In the figure, a solid cylinder of radius 24.0 cm and mass 17.0 kg starts from rest and rolls…

A: (a).The acceleration of the solid cylinder can be calculated using equation.

Q: Calculate the total rotational motion energy of the system shown in the figure (watting neglected…

A: Given : Masses are m1 = 4 kg, m2 = 2 kg & m3 =  3 kg  distance of 4 kg mass from axis of…

Q: A solid disk of uniform density and mass M = 0.950 kg with radius R = 0.250 m is suspended…

A: Given: m=0.95 kgR= 0.25mθ= 250g= 9.8 In this question, we use conservation of energy.

Q: In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible…

A:

Q: A 2.00 kg solid, uniform sphere rolls without slipping across a level surface, translating at 4.00…

A: Transnational KE is 16 J

Q: A wheel, with rotational inertia I, mounted on a vertical shaft with negligible rotational inertia,…

A: Answer :- (a) 12.40 rad/s Given  Initial angular speed (wi) = 37.2 rad/s  Final angular speed = wf…

Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.99 J of…

A: The given data are: E=1.99 JC=0.749 mM=0.624 kg Here, E denotes the energy, C denotes the…

Q: A uniform cylindrical grindstone has a mass of 10 kg and a radius of 12 cm. (a) What is the…

A: a) The expression for find rotational kinetic energy is KEr=12Iω2=12Mr222πr602 Plugging values in…

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A: Given, radius of solid disk r = 0.650 m mass m = 600 Kg ω=  5.30 x 103 rev/min

Q: a wheel of radius 0.20 m is mounted on a frictionless horizontal axis. The rotational inertia of the…

A:

Q: In the figure, three 0.02 kg particles have been glued to a rod of length L = 13 cm and negligible…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a…

A: Moment of inertia is given by, I=12mr2 where m=mass and r=radius of flywheel For flywheel with r1…

Q: A uniform solid sphere, of radius R = 1.0 m and mass M = 5.0 kg, rotates freely with a constant…

A: Given : Radius →R=1.0 m Mass →M=5.0 kg  Angular speed →ω=2.0 rad/s

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A:

Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…

A: Radius of the flywheel (R)=0.8 m Mass of the flywheel (M)=600 kg Rotational speed of the flywheel…

Q: Trucks can be run on energy stored in a rotating flywheel, with an electric motor getting the…

A: Kinetic energy of a rotating body is given as K.E=12Iω2, where I is moment of inertia of object and…