Problema Solution
The centrifugal force of an object moving in a circle varies jointly with the radius of the circular path and the mass of the object and inversely as the square of the time it takes to move about one full circle. A 6 gram object moving in a circle with a radius of 75 centimeters at a rate of 1 revolution every 3 seconds has a centrifugal force of 5000 dynes. Find the centrifugal force of a 14 gram object moving in a circle with radius 125 centimeters at a rate of 1 revolution every 2 seconds.
Answer provided by our tutors
Let
f = 5000 dynes
r = 75 cm
m = 6 gr
t = 3 sec
f = k(r*m)/t^2, where k is constant
First we will find k:
5000 = k*75*6/3^2
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click here to see the equation solved for k
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k = 100
The equation for the centrifugal force is:
f = 100*rm/t^2
For m = 14 gr, r = 125 cm and t = 2 sec we have:
f = 100*125*14/2^2
f = 43750 dynes
The centrifugal force of a 14 gram object moving in a circle with radius 125 centimeters at a rate of 1 revolution every 2 seconds is 43750 dynes.