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Learning Goal: To be able to calculate the work done by a couple on a rigid body. When a body subjected to a couple moment, M, undergoes general planar motion, the two couple forces do work only when the body undergoes a rotation. When the body rotates in the plane through a finite angle (measured in radians) from ₁ to 02, the work of a couple is UM = S M de If the couple moment, M, has a constant magnitude, then the work is reduced to Figure UM = M(02-01) F < 1 of 2 > Part A Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Eigure 1) The magnitude of the force produced by each blade in a wind of speed vis F= (40.0 kg/s)u. If the center of mass of each blade is r= 10.2 m, what is U₁, the total work done by the wind turbine's blades, in a wind of speed 7.35 m/s after 10 revolutions? Express your answer numerically in joules to three significant figures. ▸View Available Hint(s) U₁= Submit Part B 12 m VAE Ivec A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r= 19.3 cm. A moment of M 13.8 N-m is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F= (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, 7, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ▸ View Available Hint(s) 15. ΑΣΦ. 11 Ivec Submit ? C J ?

Learning Goal: To be able to calculate the work done by a couple on a rigid body. When a body subjected to a couple moment, M, undergoes general planar motion, the two couple forces do work only when the body undergoes a rotation. When the body rotates in the plane through a finite angle (measured in radians) from ₁ to 02, the work of a couple is UM = S M de If the couple moment, M, has a constant magnitude, then the work is reduced to Figure UM = M(02-01) F < 1 of 2 > Part A Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Eigure 1) The magnitude of the force produced by each blade in a wind of speed vis F= (40.0 kg/s)u. If the center of mass of each blade is r= 10.2 m, what is U₁, the total work done by the wind turbine's blades, in a wind of speed 7.35 m/s after 10 revolutions? Express your answer numerically in joules to three significant figures. ▸View Available Hint(s) U₁= Submit Part B 12 m VAE Ivec A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r= 19.3 cm. A moment of M 13.8 N-m is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F= (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, 7, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ▸ View Available Hint(s) 15. ΑΣΦ. 11 Ivec Submit ? C J ?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Learning Goal: To be able to calculate the work done by a couple on a rigid body. When a body subjected to a couple moment, M, undergoes general planar motion, the two couple forces do work only when the body undergoes a rotation. When the body rotates in the plane through a finite angle (measured in radians) from ₁ to 02, the work of a couple is UM = SM de If the couple moment, M, has a constant magnitude, then the work is reduced to Figure F UM = M (02-01) F F 1 of 2 Part A Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Figure 1) The magnitude of the force produced by each blade in a wind of speed v is F = (40.0 kg/s)v. If the center of mass of each blade is r = 10.2 m, what is U₁, the total work done by the wind turbine's blades, in a wind of speed v = 7.35 m/s after 10 revolutions? Express your answer numerically in joules to three significant figures. ► View Available Hint(s) ΞΑΣΦ U1 = Submit Part B n = Submit A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r = 19.3 cm. A moment of M = 13.8 Nm is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F = (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, n, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ► View Available Hint(s) 5 ΑΣΦ vec Provide Feedback ? ↓↑ vec J ?
Transcribed Image Text:Learning Goal: To be able to calculate the work done by a couple on a rigid body. When a body subjected to a couple moment, M, undergoes general planar motion, the two couple forces do work only when the body undergoes a rotation. When the body rotates in the plane through a finite angle (measured in radians) from ₁ to 02, the work of a couple is UM = SM de If the couple moment, M, has a constant magnitude, then the work is reduced to Figure F UM = M (02-01) F F 1 of 2 Part A Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Figure 1) The magnitude of the force produced by each blade in a wind of speed v is F = (40.0 kg/s)v. If the center of mass of each blade is r = 10.2 m, what is U₁, the total work done by the wind turbine's blades, in a wind of speed v = 7.35 m/s after 10 revolutions? Express your answer numerically in joules to three significant figures. ► View Available Hint(s) ΞΑΣΦ U1 = Submit Part B n = Submit A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r = 19.3 cm. A moment of M = 13.8 Nm is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F = (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, n, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ► View Available Hint(s) 5 ΑΣΦ vec Provide Feedback ? ↓↑ vec J ?
Figure M tire brake pads drum 2 of 2 Part B A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r = 19.3 cm. A moment of M = 13.8 Nm is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F = (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, n, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ► View Available Hint(s) n = Submit —| ΑΣΦΑ Provide Feedback vec ? Mout
Transcribed Image Text:Figure M tire brake pads drum 2 of 2 Part B A brake system is tested by rotating a tire and measuring the number of rotations required for the brake system to bring the tire to a stop. (Figure 2) The tire's radius is R = 50.0 cm and the brake system's radius is r = 19.3 cm. A moment of M = 13.8 Nm is applied to the tire for 5 rotations before the brake system is applied. The brake system is composed of two pads that are pushed out against the drum with a force that increases as the tire rotates and is described by F = (10.00) N. If the coefficient of kinetic friction between the brake pads and the outer ring of the brake system is k = 0.550, how many rotations, n, will the tire go through before coming to a stop? Express your answer numerically to three significant figures. ► View Available Hint(s) n = Submit —| ΑΣΦΑ Provide Feedback vec ? Mout
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