Uniform Circular Motion problem

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SUMMARY

The discussion focuses on calculating the horsepower required for a motor to move a 150 lb person in a rolling chair at a speed of 1 m/s while overcoming friction. Given a circle radius of 7 ft and a friction coefficient of 0.50, the key to solving this problem lies in determining the work done against friction over time. Participants emphasize the importance of understanding power and work in this context, specifically how to quantify the necessary horsepower to achieve the desired motion.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Basic knowledge of physics concepts such as power and work
  • Familiarity with friction coefficients and their impact on motion
  • Ability to convert units (e.g., from feet to meters)
NEXT STEPS
  • Calculate the work done against friction using the formula: Work = Friction Force x Distance
  • Learn how to convert work into horsepower using the formula: Horsepower = Work / Time
  • Explore the relationship between linear speed and circular motion dynamics
  • Investigate the effects of varying friction coefficients on required horsepower
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in understanding the dynamics of circular motion and motor power requirements in practical applications.

Unknown2x
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there's a 150 lb person on a rolling chair and moves in a circle when a motor with a rope attached on it is hooked up to the chair.

If the radius of the circle is 7 ft, how much horsepower would the motor need to have to move the person at 1 m/s given that the friction coefficient is about 0.50.

Can someone give me an idea on how I can try to find how many horsepowers it would take? Thanks
 
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You are required to find horsePOWER (*hint hint*). What do you know about power?
 
oo power, i think that explains everything then. Just need to find how much work is being done to overcome friction over the time. thanks!
 

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