Due to the rotation of the screw E, the actuator provides a linear movement to the arm Fwhen the motor turns the pinion A. The gears have the radii shown in the figure, and thescrew E has a pitch p = 1.6 mm.Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 untilit reaches an angular speed of w = 59 rad/s which is then held constantPoradio menDBTA10 mmTB = 50 mmrc = 15 mmTD = 60 mmFNote: The screw pitch indicates the distance the arm advances per revolution.Determine:a) The time it takes for pinion A to reach its maximum angular velocityb) The maximum speed of the arm F in mm/sc) The number of revolutions of the screw while acceleratingd) The displacement of the arm F (in mm) when 10 seconds have elapsed

The problem involves finding the linear motion of the screw using gear ratios

Due to the rotation of the screw E, the actuator provides a linear movement to the arm F when the motor turns the pinion A. The gears have the radii shown in the figure, and the screw E has a pitch p = 1.6 mm. Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 until it reaches an angular speed of w = 59 rad/s which is then held constant

Due to the rotation of the screw E, the actuator provides a linear movement to the arm F when the motor turns the pinion A. The gears have the radii shown in the figure, and the screw E has a pitch p = 1.6 mm. Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 until it reaches an angular speed of w = 59 rad/s which is then held constant

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Due to the rotation of the screw E, the actuator provides a linear movement to the arm F
when the motor turns the pinion A. The gears have the radii shown in the figure, and the
screw E has a pitch p = 1.6 mm.
Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 until
it reaches an angular speed of w = 59 rad/s which is then held constant
Poradio men
D
B
TA
10 mm
TB = 50 mm
rc = 15 mm
TD = 60 mm
F
Note: The screw pitch indicates the distance the arm advances per revolution.
Determine:
a) The time it takes for pinion A to reach its maximum angular velocity
b) The maximum speed of the arm F in mm/s
c) The number of revolutions of the screw while accelerating
d) The displacement of the arm F (in mm) when 10 seconds have elapsed

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