Question

We will learn that in order to cause a mass M to move in a circle...

We will learn that in order to cause a mass M to move in a circle of radius R with a period T, a centripetal force Fc is required, where
.
Suppose the measured quantities, with their uncertainties, are
           Mass       1.624 ± 0.008 kilograms (kg)
           Period   2.561 ± 0.005 seconds (s)
           Radius   0.165 ± 0.004 meters (m)
What is the centripetal force, Fc?
What is the propagated uncertainty, Fc, in the centripetal force?
Give your answers first in symbols (M, M, T, T, R, R, ) and then show your calculations of numerical answers. The appropriate unit for the force is Newtons (N).

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Answer #1

Centripetal Force ( ) is a force acting on a moving body at an angle to the direction of motion, tending to make the body follow a circular or curved path.

Given by

but,

Centripetal Force,

Calculating Percent Error ;

Percent Total  uncertainty :

Centripetal Force,

Centripetal Force,

Total  uncertainty :

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