5.5 rads Problem 7: A disk with an initial angular velocity 0 = 3.5 rad\'s exper

Question

5.5 rads Problem 7: A disk with an initial angular velocity 0 = 3.5 rad's experiences a constant angular acceleration of ? for a time period 15 s. Please answer the following questions Randomized Variables ? = 3.5 rad/s ? = 5.5 rad/s t-15 s Part (a) Write an expression for the magnitude of the angular velocity of the disk at time t in terms of the given parameters Expression Select from the variables below to write your expression. Note that all variables may not be required. ?, ?, ?0, 0. b, d, g. h. j. k. m. n, P, S, t Part (b) Calculate the magnitude of the angular velocity of the disk in rad's at time t Numeric : A numeric value is expected and not an expression Part(c) Write an expression for the magnitude of the angular displacement ? traveled by a point on the disk during the angular acceleration described in terms of the given parameters. Assume the point starts at an angular displacement of 0 radians. Expression: Select from the variables below to write your expression. Note that all variables may not be required ?, ?, (90, ?. b. d. g. h. J.kn. n. P. S, t Part (d) Calculate the magnitude of the angular displacement in radians traveled by a point on the disk during the acceleration described Numeric A numeric value is expected and not an expression. Part (e) Which of the following scenarios would result in the largest angular displacement traveled by a point on the disk, assuming all other properties stayed the same? MultipleChoice 1) The amount of time the angular acceleration occurred is doubled 2) The angular acceleration of the system is doubled. 3) All of the choices are the same 4) No change to the system. 5) None of the choices would result in a change to the angular distance 6) The initial angular velocity of the system is doubled

Explanation / Answer

a. Wf = Wo + alpha*t

b. Wf = 3.5 + (5.5*15) = 86 rad/s

c. ?final = (1/2)*alpha*t^2

d. ?final = (1/2)*5.5*152 = 618.75

e. option 1 is corrcect

becuase from equation from part c

angular displacement is directly propoprtional to time and acceleration

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