Calculating Mass of Water Pumped by a Motor

In summary, the motor in question is rated at 240W and runs on a source voltage of 120V. With a current of 2A, it can pump 12.24kg of water to a height of 10m in 5 seconds. This question originally had a typo, stating the motor was rated at 100W, but it has been corrected in newer editions of the textbook.
  • #1
hacker804
15
0

Homework Statement



A motor,rated 100W,runs from a source voltage 120V.If 2A of current flows through it then calculate the mass of water pumped by it to a height of 10m in 5 seconds.

Homework Equations



P=IV
P=E/t
E=mgh

The Attempt at a Solution


P=IV
P=mgh/t
mgh/t=IV
m=IVt/gh
m=(2)(120)(5)/(9.8)(10)
m=12.24kg.

Is my solution correct and does this question make correct sense?
Thanks.
 
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  • #2
hacker804 said:

Homework Statement



A motor,rated 100W,runs from a source voltage 120V.If 2A of current flows through it then calculate the mass of water pumped by it to a height of 10m in 5 seconds.

Homework Equations



P=IV
P=E/t
E=mgh

The Attempt at a Solution


P=IV
P=mgh/t
mgh/t=IV
m=IVt/gh
m=(2)(120)(5)/(9.8)(10)
m=12.24kg.

Is my solution correct and does this question make correct sense?
Thanks.

P = V.I formula gives P = 120 x 2 = 240W, yet the motor is rated at 100W.
Could it be that the engine is not perfectly efficient, the rating means a power output is 100W?
The rating of a motor is usually the maximum output of that motor, so the answer might be much smaller, as in (100)(5)/(9.8)(10)
 
  • #3
No.its 240W.i asked my teacher and he said there was a typo in the question.
 
  • #4
hacker804 said:
No.its 240W.i asked my teacher and he said there was a typo in the question.

You should tell about the typo then!

Did he say the typo was that the motor was rated at 1000 W?
 
  • #5
Yup.its actually 240W.i have an older edition of the textbook and its corrected in the newer edition.my teacher checked and told me.
 

FAQ: Calculating Mass of Water Pumped by a Motor

How do you calculate the mass of water pumped by a motor?

The mass of water pumped by a motor can be calculated by multiplying the density of water (which is approximately 1 kg/L) by the volume of water pumped in liters. This will give you the mass of water in kilograms.

What is the formula for calculating the volume of water pumped by a motor?

The formula for calculating the volume of water pumped by a motor is V = Q * t, where V is the volume in liters, Q is the flow rate in liters per second, and t is the time in seconds.

What is the difference between mass and volume of water?

Mass refers to the amount of matter in an object, while volume refers to the amount of space an object occupies. In the case of water, mass is measured in kilograms and volume is measured in liters.

How does the speed of the motor affect the mass of water pumped?

The speed of the motor affects the mass of water pumped by changing the flow rate. The higher the speed, the faster the motor can pump water, resulting in a higher flow rate and, therefore, a higher mass of water pumped.

Are there any other factors that can affect the mass of water pumped by a motor?

Yes, other factors that can affect the mass of water pumped by a motor include the efficiency of the motor, the size and design of the pump, and any resistance or obstacles in the water flow. These factors can impact the flow rate and ultimately, the mass of water pumped by the motor.

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