The wheel of a carriage is 91 cm in diameter and make 5 revolutions per min . How fast is the carriage running?
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diameter of wheel of a carriage, d = 91cm or 0.91m [ as 1cm = 0.01m ]
wheel makes 5 revolution per minute. it means, wheel complete 5 revolution in 60 sec.
then, number of revolution per second = 5/60 = 1/12 rev/sec
we know, distance covered in 1 revolution = πd [ here d is diameter of circular path ]
so, speed of carriage , v = number of revolution per second × πd
= 1/12 × 3.14 × 0.91
= 0.2381 m/s
hence, speed of carriage is 0.2381 m/s.
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the up answer is right ....
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