A load is raised 11 ft by the gears and wheel system below. Gear A is initially rotating at rest and accelerates uniformly to omega = 24 rpm in t= 10 sec and maintain then maintain this constant 24 rpm speed. The dimensions are rA= 1 in, rB= 9 in and rC=16 in.   1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.  2) After 10 sec, find the distance s2 in feet and in NC es needed to reach the 11 ft, find thetaC2(t),  alphaA2, alphaB2 in rad/s^2, omegaA2(t), omegaB2(t) in rad/s, thetaA2(t),  in rad and the distance s2 in ft that should be made to get to the 11 ft raising distance of the load. 3) Deduce the number of revolutions made by gear A and how long it will take, to raise the load up to 11 ft. In the box below, give the time it takes to raise the load in seconds, with one decimal.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A load is raised 11 ft by the gears and wheel system below. Gear A is initially rotating at rest and accelerates uniformly to omega = 24 rpm in t= 10 sec and maintain then maintain this constant 24 rpm speed.

The dimensions are rA= 1 in, rB= 9 in and rC=16 in.

 

1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load sin inches and in feet made by the load during this time. 

2) After 10 sec, find the distance s2 in feet and in NC es needed to reach the 11 ft, find thetaC2(t),  alphaA2, alphaB2 in rad/s^2, omegaA2(t), omegaB2(t) in rad/s, thetaA2(t),  in rad and the distance s2 in ft that should be made to get to the 11 ft raising distance of the load.

3) Deduce the number of revolutions made by gear A and how long it will take, to raise the load up to 11 ft.

In the box below, give the time it takes to raise the load in seconds, with one decimal.

rc
B/
ww
Load
A
VB
Transcribed Image Text:rc B/ ww Load A VB
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