Diameter of wheel of a cycle is 7 cm. A cyclist takes 75 minutes to reach a destination at the speed of 36.3 km/hr. How many revolutions will the wheel make during the journey ?
Options:
196280
206250
216580
212520
Correct Answer:
206250
Explanation:
As we know ,
The circumference of the circle = 2 × π × (The radius of the circle)
The circumference of the wheel = 2 × \(\frac{22}{7}\) × \(\frac{7}{2 ×100 }\) = 0.22 m
The total distance = (75 × 60) × (36.3 × \(\frac{5}{18}\) ) = 45275 m
The total round taken by wheel = \(\frac{45375}{0.22}\) = 206250
So , The required number of revolutions are 206250.