Question

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A wheel of a child's bicycle has a circumference that is 50% of the circumference of a child's mountain bicycle wheel. The child's bicycle wheel has a circumference of 37.7 inches. a. What is the radius (to the nearest inch) of the child's bicycle wheel? of the child's mountain bicycle wheel? b. The child's mountain bicycle wheel takes 2 seconds to make 3 revolutions . How fast(to the nearest inch per second) is the bicycle moving?

Answer 1

36960in per minute

Explanation:

Answer 2

• a) 6 inches
• b) 113 inches per second

Explanation:

Let the child bicycle wheel radius be x

Then its circumference is

• C = 2πx

a) Solving for x

• 37.7 = 2*3.14x
• x = 37.7/6.28
• x = 6.0 in

b) Mountain bicycle has twice the circumference of a child bicycle

In 2 seconds it makes 3 revolutions

It makes the distance of

• d = 3*2*37.7 = 226.2 inches in t = 2 seconds

Speed = d/t

Speed is:

• 226.2/2 = 113 inches/second