You are working for a company that manufactures motors and generators. At the end of your first day of work, your supervisor explains to you that you will be assigned to a team that is designing a new homopolar generator. You have no idea what that is, but agree wholeheartedly to the assignment. At home that evening, you go online to learn about the homopolar generator and find the following. The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference as shown in the figure below.An illustration shows a thin disk oriented into the page so that its circular faces are vertical and a horizontal axle passes through its center. One brush is to the right of the disk in contact with the axle and a second brush is in contact with a point along the circumference of the disk. A uniform magnetic field, vector B, points left to right through the disk. If viewed from the right, the disk rotates clockwise.A uniform magnetic field is applied perpendicular to the plane of the disk. When superconducting coils are used to produce a large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful, for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs in reverse as a homopolar motor capable of providing great torque, useful in ship propulsion. At work the next morning, your supervisor tells you that the homopolar generator under consideration will have a magnetic field of magnitude B = 0.865 T and the radius of the disk is r = 0.415 m. The desired emf to be generated with the device is = 29.0 V. Your supervisor asks you to determine the required angular speed of the disk to achieve this result (in rev/min). rev/min You are working for a company that manufactures motors and generators. At the end of your first day of work, yoursupervisor explains to you that you will be assigned to a team that is designing a new homopolar generator. You have noidea what that is, but agree wholeheartedly to the assignment. At home that evening, you go online to learn about thehomopolar generator and find the following. The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) atits axle and another at a point on its circumference as shown in the figure below.BA uniform magnetic field is applied perpendicular to the plane of the disk. When superconducting coils are used to producea large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful,for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs inreverse as a homopolar motor capable of providing great torque, useful in ship propulsion. At work the next morning, yoursupervisor tells you that the homopolar generator under consideration will have a magnetic field of magnitude B = 0.865 Tand the radius of the disk is r = 0.415 m. The desired emf to be generated with the device is & = 29.0 V. Your supervisorasks you to determine the required angular speed of the disk to achieve this result (in rev/min).rev/min

Question

You are working for a company that manufactures motors and generators. At the end of your first day of work, your supervisor explains to you that you will be assigned to a team that is designing a new homopolar generator. You have no idea what that is, but agree wholeheartedly to the assignment. At home that evening, you go online to learn about the homopolar generator and find the following. The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference as shown in the figure below.An illustration shows a thin disk oriented into the page so that its circular faces are vertical and a horizontal axle passes through its center. One brush is to the right of the disk in contact with the axle and a second brush is in contact with a point along the circumference of the disk. A uniform magnetic field, vector B, points left to right through the disk. If viewed from the right, the disk rotates clockwise.A uniform magnetic field is applied perpendicular to the plane of the disk. When superconducting coils are used to produce a large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful, for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs in reverse as a homopolar motor capable of providing great torque, useful in ship propulsion. At work the next morning, your supervisor tells you that the homopolar generator under consideration will have a magnetic field of magnitude B = 0.865 T and the radius of the disk is r = 0.415 m. The desired emf to be generated with the device is  = 29.0 V. Your supervisor asks you to determine the required angular speed of the disk to achieve this result (in rev/min). rev/min You are working for a company that manufactures motors and generators. At the end of your first day of work, yoursupervisor explains to you that you will be assigned to a team that is designing a new homopolar generator. You have noidea what that is, but agree wholeheartedly to the assignment. At home that evening, you go online to learn about thehomopolar generator and find the following. The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) atits axle and another at a point on its circumference as shown in the figure below.BA uniform magnetic field is applied perpendicular to the plane of the disk. When superconducting coils are used to producea large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful,for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs inreverse as a homopolar motor capable of providing great torque, useful in ship propulsion. At work the next morning, yoursupervisor tells you that the homopolar generator under consideration will have a magnetic field of magnitude B = 0.865 Tand the radius of the disk is r = 0.415 m. The desired emf to be generated with the device is & = 29.0 V. Your supervisorasks you to determine the required angular speed of the disk to achieve this result (in rev/min).rev/min

Accepted Answer

Given data
Magnetic flux density, B=0.865 T
Generated voltage, E=29.0 V
Radius of the disk, r=0.415…