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Object a is moving at speed v in a circle of radius r. object b is moving at speed 2v in a circle of radius r/2. what is the ratio of the period of object a to the period of object b?

Answer :

The correct answer for the ratio of the period of object a to the period of object b 4.

we know time for one revolution. around which is the period for one revolution it has to travel distance equal to perimeter.

So, speed of object in circular motion

v = perimeter /t

time period = 2Ï€r/v

for object A ,Ta = 2 π R/ v

for abject B, Tb = (2Ï€ R/2 )/2v

now Ta / Tb = ((2Ï€R)/v)/((2Ï€(R/2))/(2V)) = 1/(1/4) = 4

Circular motion is defined in physics as the movement of an object around the circumference of a circle or the rotation of an object along a circular path. It can be uniform, with a constant angular rate of rotation and speed, or non-uniform, with a variable rate of rotation.When the magnitude of an object's velocity in uniform circular motion is v, the velocity is equal to the circumference C of the circle divided by the period. As a result, V = fracCT. The circumference of a circle is equal to pi multiplied by R. So, C = 2Π R.

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