What is the average power being expended?

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SUMMARY

The average power expended while making homemade ice cream is calculated using the formula P = W/T, where W is the work done and T is the time taken. In this scenario, a force of 19 N is applied over a circular path with a radius of 0.28 m, resulting in a work output of approximately 33.427 J. Dividing this work by the time interval of 1.7 seconds yields an average power of 19.663 W. The calculations presented are accurate and do not contain errors.

PREREQUISITES
  • Understanding of basic physics concepts such as work and power.
  • Familiarity with the formula for work: W = F * d * cos(theta).
  • Knowledge of circular motion and how to calculate distance traveled in a circular path.
  • Ability to perform unit conversions and calculations involving time.
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  • Review the principles of circular motion and how to calculate work done in such scenarios.
  • Study the relationship between force, distance, and power in mechanical systems.
  • Explore examples of power calculations in different physical contexts, such as engines or motors.
  • Learn about the implications of power output in practical applications, such as home appliances.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the calculations involved in power and work in physical systems.

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Homework Statement


A person is making homemade ice cream. She exerts a force of magnitude 19 N on the free end of the crank handle, and this end moves in a circular path of radius 0.28 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.7 s, what is the average power being expended?


Homework Equations


W=FD cos theta
P=W/T


The Attempt at a Solution


I first found the work by using W =FD cos theta. The force is 19, the distance traveled is .28*2*pi, so I got that the work is 33.427. I then divided by T, 1.7 to get P, which is 19.663 W. What did I do wrong?
 
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What did I do wrong?
 


keemosabi said:
What did I do wrong?

What makes you think you did anything wrong? That looks fine to me.
 

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