Calculating Power from 1800 N-m of Work Per Minute

[heliocentricprose]

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..

 

[denverdoc]

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.

 

[m2003]

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.