A wheel completes 2000 revolutions to cover the 9.5 km distance, then the diameter of the wheel is:

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1.512 m

1.5 cm

7.5 cm

7.5 m

answer is A.

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Detailed Solution

Concept: The wheel travels two angular distances in one rotation. The distance travelled in a single rotation is equal to the diameter of the circle. This may be used to calculate the total distance and can be used to convert the supplied value of 9.5 km to miles.
It is stated that the wheel rotates 2000 times. The distance the wheel is expected to go is this multiplied by the circle's diameter;
distance=2000×(2πr)
If we just replace the 2r above with d for diameter, we get:
distance=2000×(πd)
Keeping the value of distance as 9.5 km, we get:

\frac{9500 m}{2000 π}

= d
This will give the diameter as:
d = 1.512 m approximately.
Hence, the correct answer option (1) .

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