The motor of an elevator can produce 2200w of power. The elevator has a mass of 1100kg complete with contents. At what constant speed will the elevator rise?
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OpenStudy (anonymous):
Do they give you an equation?
OpenStudy (karlaltr):
no:/
OpenStudy (dan815):
power is the rate of work
OpenStudy (dan815):
The unit for watts is Jules/sec = N*m/sec
OpenStudy (dan815):
can u figure it out now?
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OpenStudy (karlaltr):
im confused because wouldnt we be using a formula like a=v/t?
OpenStudy (dan815):
power is the rate of work being done
work=force*distance
work/time = Power
OpenStudy (dan815):
work/time = force*distance/time
but distance/time = speed so
force * V = power
1100kg gives u 1100kg*9.81m/s^2 = approximately 11000 Newtons of Force
OpenStudy (dan815):
11000 * speed= 2200 watts
OpenStudy (karlaltr):
i think that makes sense thank you!
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OpenStudy (dan815):
ok good
OpenStudy (dan815):
you can see the units match up too
11000 * speed= 2200 watts
newtons * m/s = newtos *m/s
watts=work/time = Force*distance/time = newtons * meters / sec