A) \[\text{14 m}\]
B) \[\text{24 m}\]
C) \[\text{28 m}\]
D) \[\text{40 m}\]
Correct Answer: C
Solution :
| [c] Distance covered in 1000 revolutions \[=88\,km\] |
| Distance covered in 1 revolution |
| \[=\frac{88\times 1000}{1000}m=88\,m\] |
| \[\Rightarrow \] Circumference of the wheel \[=\text{88 m}\] |
| Let R be the radius of the wheel. |
| \[\therefore \,\,\,\,\,\,\,\,\,\,2\pi R=88\,\,\,\Rightarrow \,\,2\times \frac{22}{7}\times R=88\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,R=88\times \frac{7}{44}=14\] |
| \[\therefore \] Diameter of wheel |
| \[=2R=(2\times 14)m=28\,m\] |
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