MATH SOLVE

2 months ago

Q:
# The diameter of a bicycle wheel is 29 in. How many revolutionsdoes the wheel make when the bicycle travels 200 ft?Round your answer to the nearest whole number

Accepted Solution

A:

In order to solve the problem, We need to realize that : The Distance traveled by bicycle wheel in one revolution is equal to the Circumference of the bicycle wheel.Given : The diameter of the bicycle wheel is 29 inWe know that : Circumference of a Circle is given by : π × diameter[tex]:\implies[/tex] Circumference of the bicycle wheel = π × 29[tex]:\implies[/tex] Circumference of the bicycle wheel = 91.11 inIt means : Distance traveled by bicycle wheel in 1 revolution is 91.11 inWe know that : One feet = 12 inches[tex]\implies \mathsf{91.11\;inches\;in\;feet = \dfrac{91.11}{12} = 7.592\;feet}[/tex]It means : Distance traveled by bicycle wheel in 1 revolution is 7.592 ftNumber of revolutions made by bicycle wheel to travel 200 ft :[tex]\implies \mathsf{\dfrac{200}{7.592}\;(revolutions)}[/tex][tex]\implies \mathsf{26.34\;revolutions}[/tex]Rounding off to nearest whole number :Answer : 26 Revolutions