The number of revolutions made by a wheel travelling over a fixed distance varies universally to the
radius of the wheel./ A wheel of 12-inch radius makes 100 revolutions to travel a certain distance.
How many revolutions would a wheel of 16-inch radius require to travel the same distance?
Answers
The necessary revolutions to travel the given distance is 75.
Given data :
The wheel of 12 inch radius takes 100 revolutions to complete the distance.
Radius of the second wheel is 16 inch.
• At first we have to calculate the total distance.
• The total distance = circumference of the wheel × number of revolution
• So,the circumference of the wheel
= 2 × π × radius
= 2 × 22/7 × 12
= 528/7 inch
• So,the total distance
= 528/7 ×100
= 52800/7 inch
• The circumference of the second wheel = 2×π×16 = 2×22/7×16 = 704/7 inch
• Now,we have to calculate the number of revolutions is needed to complete the journey by the second wheel
= Total distance / circumference of the second wheel = 52800/7 ÷ 704/7 = 52800/7 × 7/704 = 75
So,75 revolutions is necessary. (Answer)