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Velocity

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worked out problems of Common Veleocities

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I was talk about velocities notice and this one that everything is connected by a belt so that means the linear velocity zarg to be the same  so the first thing I'm going to do on a is if I know the crank will is turning at a rate of 1800 revolutions per minute that is my angular velocity  so if I'm not a linear velocity in centimeters per minute what I would do is I'm going to get my 1500 revolutions per 1 minute good now I'm going to X my radius which was 15 cm what's a 15 cm Sears  Gopher One now  right now I'm kind of mixed setting so what I need to do is get rid of revolutions so I can convert to centimeters per minute I already got the minutes there by need to get rid of the revolutions some X 2pi  Radiance is one  revolution the revolutions cancel  and so as far as play is for the first part two centimeters per minute we are looking at 1500 * 2 * 15 which is 45000 hi centimeters per minute then you can multiply that out  about to go to meters per second well there is a hundred centimeters in one meter so one meter  is 100  centimeters and what I like to do is like the can things all the time moving across so right now I'm in meters per minute so get rid of the minutes I will x 1 minute 60 Seconds  in the minutes cancel out so now I am in meters per second with I will end up with 15 pi over to meters per Part B determine the angular velocity in revolutions per minute of the alternator in the water pump I'll just do the alternator well to go from linear velocity to angular I divided by the radius and so end up getting the your velocity is equal to the linear velocity times 1 over my radius  and so what's going to end up happening is using dumped because we're on connected by belt angler per linear velocity will be the same so the 15 meters per second the 15 pie  meters per one second times now you can use the other one if you want or the centimeters per minute that would probably be the best one but since I have this set up  the radio said the alternator is are the  is 5 cm so they want over 5 centimeters  so now I'm about to be in angular velocity but I got rid of it's going to get rid of the centimeters and meters then once again  there's 500cm 100  there's 100 cm for one meter another cinnamon cancel the meters cancel so right now we are in radians per second  if I'm trying to get the revolutions per minute one revolution is equal to 2 pi radians  so now we're in revolutions per second to get to sentence for 60 seconds then one minute  so when I start canceling things out the men minutes remains so that's okay but the second disappears and now it's just a matter of multiplying everything across pause go away and I end up with  900 revolutions  per  minute and ask for the alternator and then you can do the same thing for the water pump it's just your radius changes

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Velocity

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