Calculating Power from 1800 N-m of Work Per Minute

In summary, power can be calculated from 1800 N-m of work per minute by using the formula power = work/time. The unit of measurement for power is watts (W). Work and power are both measurements of energy, with work being the amount of force applied over a distance and power being the rate at which work is done. Power can be converted from watts to other units such as horsepower, kilowatts, or BTUs per hour. However, power is not the only factor that determines the efficiency of a machine, as other factors such as friction, heat loss, and mechanical losses also play a role.
  • #1
heliocentricprose
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Homework Statement


What is the power of a machine that does 1800 N-m of work per minute?


Homework Equations


KE = m*v^2/2

V = sqrt(2KE/m)


The Attempt at a Solution


I don't know what N-m are... so I'm not sure what to do..
 
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  • #2
N-m is better known as Joules (energy, work) and not to be confused with Torque which has the same dimensions. Work/time is power.
 
  • #3



As a scientist, it is important to first understand the units involved in a problem before attempting to solve it. In this case, N-m stands for Newton-meters, which is the unit of work or energy in the metric system. To calculate power, we need to use the formula P = W/t, where P is power, W is work, and t is time. In this case, we are given work (1800 N-m) and time (1 minute), so we can calculate the power as follows:

P = (1800 N-m) / (1 min)

However, since power is typically measured in watts (W) in the metric system, we need to convert the units of work and time accordingly. We can convert 1800 N-m to joules (J) by multiplying by the conversion factor 1 N-m = 1 J. Therefore, 1800 N-m = 1800 J.

Similarly, we can convert 1 minute to seconds (s) by multiplying by the conversion factor 1 min = 60 s. Therefore, 1 minute = 60 seconds.

Now, we can plug in the converted values into the power formula:

P = (1800 J) / (60 s)

P = 30 J/s

Therefore, the power of the machine is 30 watts (W). This means that the machine can do 30 joules of work every second.
 

1. How do you calculate power from 1800 N-m of work per minute?

To calculate power from 1800 N-m of work per minute, you can use the formula: power = work/time. In this case, the power would be 1800 N-m per minute.

2. What is the unit of measurement for power?

The unit of measurement for power is watts (W). In this case, the power would be 1800 watts (W).

3. How is work related to power?

Work and power are both measurements of energy. Work is the amount of force applied over a distance, while power is the rate at which work is done.

4. Can you convert power from watts to other units?

Yes, power can be converted from watts to other units such as horsepower, kilowatts, or BTUs per hour, depending on the application.

5. Is power the only factor that determines the efficiency of a machine?

No, power is just one factor that contributes to the efficiency of a machine. Other factors such as friction, heat loss, and mechanical losses also affect the overall efficiency of a machine.

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