QUESTION 2 A certain machine requires a torque Tm of the form Tm = 1358 + 184 sin 2θ + π 180 37.4 , 0 6
Posted: Tue Jun 07, 2022 6:20 pm
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
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