(Modeling) Voltage The voltage in common household current is expressed as V = 163 sin wt, where w is the angular speed (in radians per second) of the genera- tor at an electrical plant and t is time (in seconds). (a) Use an identity to express V in terms of cosine. (b) If w = 1207, what is the maximum voltage? Give the least positive value of t when the maximum voltage occurs.
(Modeling) Voltage The voltage in common household current is expressed as V = 163 sin wt, where w is the angular speed (in radians per second) of the genera- tor at an electrical plant and t is time (in seconds). (a) Use an identity to express V in terms of cosine. (b) If w = 1207, what is the maximum voltage? Give the least positive value of t when the maximum voltage occurs.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer (a) and (b). Show all your work.
![(Modeling) Voltage The voltage in common household current is expressed as
V = 163 sin wt, where w is the angular speed (in radians per second) of the genera-
tor at an electrical plant and t is time (in seconds).
(a) Use an identity to express V in terms of cosine.
(b) If w = 120, what is the maximum voltage? Give the least positive value of t
when the maximum voltage occurs.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8f660c8-b9d4-4cb9-9f98-b7b8918c1ef8%2Fc2f4dab4-92cd-47ea-b133-2f495ebd45d6%2Fzwxgawn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Modeling) Voltage The voltage in common household current is expressed as
V = 163 sin wt, where w is the angular speed (in radians per second) of the genera-
tor at an electrical plant and t is time (in seconds).
(a) Use an identity to express V in terms of cosine.
(b) If w = 120, what is the maximum voltage? Give the least positive value of t
when the maximum voltage occurs.
%3D
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