Determine the centripetal force

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SUMMARY

The discussion focuses on calculating the centripetal force required to maintain a standard kilogram in circular motion at the Earth's equator, where the radius is 6.4 x 106 meters and the speed is 465 meters/second. The centripetal acceleration is determined using the formula a = v2/r, yielding a value of 0.033785 m/s2. To find the force exerted by the standard kilogram on a spring balance, the mass must be known, which is not provided in the discussion.

PREREQUISITES
  • Understanding of centripetal force and acceleration concepts
  • Familiarity with Newton's second law (F=ma)
  • Basic knowledge of circular motion dynamics
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Calculate the mass of the standard kilogram using the weight formula (Weight = mass x gravity)
  • Explore the relationship between centripetal force and gravitational force
  • Investigate the effects of Earth's rotation on weight measurements
  • Learn about the implications of circular motion in real-world applications
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to enhance their understanding of centripetal force calculations.

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Homework Statement


Assume that the standard kilogram would weigh exactly 9.8 N at sea level on the Earth's equator if the Earth did not revolve about its axis. then take into account the fact that the Earth does rotate so that this mass moves in a circle of radius of 6.4 * 10^6 meters at a constant speed of 465 meters/sec. a) determine the centripetal force needed to keep the standard moving in its circular path. and b) determine the force exerted by the standard kilogram on a spring balance from which it is suspended at the equator. (e.g. its weight)

known: r=6.4 * 10^6 m, v=465 m/s

Homework Equations


a=v^2/r
F=ma
I don't know part b

The Attempt at a Solution


a) a=v^2/r=(465 m/s)^2/ (6.4 * 10^6 m)=0.033785 m/s^2
F=ma=(i don't know what m is?) (0.033785 m/s^2)
b) please help me i don't know where to start.
 
Physics news on Phys.org
You don't know what the mass of something that's being used as the standard for the kilogram is?
 
what would i use for my value of m?
 

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