Part 3:i)The angular displacement e radians of a flywheel varies with time t seconds andfollows the equation 0 = 9t? – 2t3.Determine,a)The angular velocity and acceleration of the flywheel when time, t =1 s.b) The time when the angular acceleration is zero.ii)The alternating current in an AC circuit, i amperes, is given by i = 20sin (2nft),where f is the frequency in hertz and t the time in seconds. Determine the rateof change of current when t=30ms, given that f =200HZ.iii)At any time t seconds the distance x metres of an engine part moving on a beltfrom a fixed point is given by x = 4t + In (1 – t).Determine the velocity of theengine part after 2.5 seconds.

Answered: Image /qna-images/answer/59736a96-75c5-42d3-8bf7-e6325cd97721.jpg

Part 3: i) The angular displacement 0 radians of a flywheel varies with time t seconds and follows the equation 0 = 9t2 – 2t°.Determine, a)The angular velocity and acceleration of the flywheel when time, t =1 s. b) The time when the angular acceleration is zero. ii) The alternating current in an AC circuit, i amperes, is given by i = 20sin (27ft), where f is the frequency in hertz and t the time in seconds. Determine the rate of change of current when t=30ms, given that f =200Hz. At any time t seconds the distance x metres of an engine part moving on a belt jii) from a fixed point is given by x = 4t + In (1 – t).Determine the velocity of the engine part after 2.5 seconds.

Part 3: i) The angular displacement 0 radians of a flywheel varies with time t seconds and follows the equation 0 = 9t2 – 2t°.Determine, a)The angular velocity and acceleration of the flywheel when time, t =1 s. b) The time when the angular acceleration is zero. ii) The alternating current in an AC circuit, i amperes, is given by i = 20sin (27ft), where f is the frequency in hertz and t the time in seconds. Determine the rate of change of current when t=30ms, given that f =200Hz. At any time t seconds the distance x metres of an engine part moving on a belt jii) from a fixed point is given by x = 4t + In (1 – t).Determine the velocity of the engine part after 2.5 seconds.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 67E

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