Two particles start moving from same position on a circle of radius 20 cm with speed
401 m/s and 367 m/s respectively in the same direction. Find the time after which the
particles will meet again.
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The first thing is to get the circumference of the circular path.
Circumference = 3.142 × 2 × 20 = 125.68 cm
We can divide this by 100 to get it in meters.
125.68/100 = 1.2568m
Time = Distance / Speed
The time taken by each to go round is :
First particle = 1.2568/45 = 0.0279 Seconds
Second particle = 1.2568/36 = 0.0349
We round off to three decimal places each.
Particle A = 0.028 s
Particle B = 0.035 s
To get the time they will meet again, we should find the LCM of the two times.
Their LCM is :
140/1000 = 0.14
So they will meet after approximately 0.14 seconds
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