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Mathematics 18 Online
OpenStudy (anonymous):

http://imageshack.us/photo/my-images/192/page357.jpg/ I need help number 43) b Please! the key is 180 rpm , 75 rpm

OpenStudy (anonymous):

Hey I found your book online http://www.caddomillsisd.org/100820818134650763/lib/100820818134650763/chap06.pdf \[\text{1. If roller A turns counter-clockwise, roller B turns clockwise and roller C turns}\] \[\text{ counterclockwise}\] \[\text{2. for B, }3*120 = 2*x,\] \[\omega_b = 180 rpm\] \[\text{for C}\] \[180*2 = \omega_c*4.8\] \[\omega_c = 75rpm\]

OpenStudy (anonymous):

how you get 120?

OpenStudy (anonymous):

120 was given for the angular speed of gear A

OpenStudy (anonymous):

180 rpm is the angular speed of B 75 is the angular speed of C

OpenStudy (anonymous):

x was just a placeholder for \[\omega_b\]

OpenStudy (anonymous):

2x?

OpenStudy (anonymous):

2 was the radius of roller B

OpenStudy (anonymous):

and how you get 4.8 ?

OpenStudy (anonymous):

4.8 was the radius of roller C

OpenStudy (anonymous):

It's all given in the picture at the bottom of page 357

OpenStudy (anonymous):

ok, can you have me one more?

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

Consider the tip of each hand of clock.find the linear velocity in milimmeter per second for each hand. . Hours hand which 18 milimeter long

OpenStudy (anonymous):

THe key is 0.003mm/s

OpenStudy (anonymous):

That's in page 356. :-D one moment

OpenStudy (anonymous):

you are the same my book

OpenStudy (anonymous):

\[\text{Every hour, the hand moves }\frac{\pi}{6}rad\ => \omega_h = \frac{\pi}{6}\small{radh}^{-1}\] multiply that by the length of the hour hand (18mm) to get the linear velocity of the hand \[v_h = 3\pi\small{\frac{mm}{h}}\] divide that by 3600 to get \[\frac{\pi}{1200}\small\frac{mm}{s} \approx0.003 mm/s\]

OpenStudy (anonymous):

you ar good job

OpenStudy (anonymous):

how u get1200 ?

OpenStudy (anonymous):

I divided 3pi by 3600 (the number of seconds in an hour) to convert it from mm/h to mm/s

OpenStudy (anonymous):

and how u get 3p?

OpenStudy (anonymous):

multiply pi/6 (angular speed of the hour hand in radians per hour) by 18 (length of the hour hand in millimeters)

OpenStudy (anonymous):

ty,please! come back help, I have this home work every day

OpenStudy (anonymous):

very, helpfull

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