The circumference of four wheels are 50 cm, 60 cm, 75cm and 100 cm. they start moving simultaneously what is the least distance they should cover so that each wheel makes a complete number of revolution.
Answers
We'll find LCM
LCM of 50, 60, 75 and 100 = 2 × 2 × 5 × 5 × 3 = 300.
Hence,
At 300 cm [ 3m ] each will make a complete number of revolution.
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Answer:
LCM of 50, 60, 75 and 100 = 2 × 2 × 5 × 5 × 3 = 300. Hence, At 300 cm [ 3m ] each will make a complete number of revolution.
Explanation:
The formula for the circumference C of a circle is: C = 2πr, where r is the radius of the circle (wheel) and π (pronounced "pi") is the famous irrational number. Let π = 3.14.
C = 2πr
= 2(3.14)(7 cm.) (Note: We were given that the radius r of wheel = 7 cm.)
= (6.28)(7 cm.)
C = 43.96 cm.
Now, to find out how many times the given wheel will have to rotate in order to cover the distance of 540 cm., we'll proceed as follows:
Number of required rotations of wheel, N = distance covered/wheel's circumference
N = 540 cm./43.96 cm
N = 12.28 (rounded to the nearest hundredth of a rotation)
Therefore, the given wheel will need to rotate approximately 12.28 rotations in order to cover the distance of 540 cm.
The circumference of four wheels are 50 cm, 60 cm, 75cm and 100 cm.
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they should cover so that each wheel makes a complete number of revolution.
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