a.
The frequency of the piston.
The frequency of the piston 8 cycles/sec.
Given:
Given, the wheel in a piston linkage like the one shown in the figure below has a radius of 6 in. It turns with an angular velocity of 16p rad/sec. The initial position is the same as shown in the figure:
Calculation:
The equation modelling the motion is of the form
The frequency of the motion is given by:
The frequency of the piston is 8 cycles/sec.
Conclusion:
The frequency of the piston 8 cycles/sec.
b.
The equation that models the motion of the piston.
The equation that models the motion of the piston is
Given:
Given, the wheel in a piston linkage like the one shown in the figure below has a radius of 6 in. It turns with an angular velocity of 16p rad/sec. The initial position is the same as shown in the figure:
Calculation:
In the given model,
Hence,
The equation of the motion of the piston is
Conclusion:
The equation that models the motion of the piston is
c.
The distance from the initial position 2.85 sec after starting.
The distance from the initial position 2.85 sec after starting is approximately 4.15 in.
Given:
Given, the wheel in a piston linkage like the one shown in the figure below has a radius of 6 in. It turns with an angular velocity of 16p rad/sec. The initial position is the same as shown in the figure:
Calculation:
The distance between the positions at
The initial position at
The position at
The distance between the positions is approximately
Conclusion:
The distance from the initial position 2.85 sec after starting is approximately 4.15 in.
Chapter 4 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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