QUESTION 2 A certain machine requires a torque Tm of the form Tm = 1358 + 184 sin  2θ +  π 180  37.4  , 0 6

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QUESTION 2

A certain machine requires a torque Tm of the form

Tm = 1358 + 184 sin

2θ +

π

180



37.4



, 0 6 θ/[rad] 6 2π

When the torque Tm is used to drive the machine it is directly coupled to the shaft of an

engine which produces an engine torque Te of the form

Te = 1463 + 346.7 sin

3θ +

π

180



47.8



The flywheel and other rotating parts which are attached to the shaft have a combined mass

of m = 346.2 kg with a radius of gyration of k = 0.387 m and the mean rotational speed is

N = 158.3 rev/min.

Considering the above system, and by making appropriate use of Newton’s method for

solving the nonlinear equation f(x) = 0, determine the following information:

2.1 The percentage of fluctuation of speed; (10)

2.2 The maximum angular acceleration