(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

So I need a motor for a project. The motor i'm looking at creates circular motion. I want to make the motor move some object in a horizontal motion but I want to know how fast it can move the object horizontally before getting it. How can I find out how fast the motor can move it?

Motor in mind:

http://www.servodatabase.com/servo/hitec/hs-322

Sorry if there are unnecessary unit conversions. Seems like engines are explained in imperial units.

2. Relevant equations

Using this equation to find horsepower = (Torque x Engine speed (rpm)) / 5,252 = Horsepower

Found from:http://www.howstuffworks.com/question622.htm

Torque for engine = 3.70 kg*cm = 0.03 kg per m = 0.22 lb/ft

speed = 0.15 sec/60° (not really sure what this is? Assuming 60 degrees every .15 sec. So one revolution (360 degrees) = 0.15 sec x 6 = .90 sec. Then rpm = 66.7

Mass of object being rotated =0.2 kg

3. The attempt at a solution

One way I thought of calculating this was converting the torque output to Power then converting power to work then to kinetic energy to velocity.

Horse power = 0.22 * 66.7 /5252 = .0028 horse power

Mechanical horse power = 33,00 lb*ft/min so (0.028 * 33,000)/60s= 1.54 lb*ft =2.09 n*m

I'll assume all work will equal KE. 2.09 J = 0.5 *0.2*v^{2}

V= 4.6m/s.

Does it look right? Any help would be appreciated.

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# Calculating how fast a motor can move something in horizontal motion

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