Respuesta :

Answer:

Angle of rotation of bike's tire is  = 6.29°

Step-by-step explanation:

Given: radius of  bike's tires 14 inches

           bike rolls forward 18 inches

To find:  the angle of rotation of the bike's tire

we know that,

Angle of rotation = [tex]\frac{distance covered by bike}{radius of bike's tire}[/tex]

   

distance covered by bike is equal to the circumfernce of circle

we know that, circumference of circle = 2πr            

                                                                =2×[tex]\frac{22}{7}[/tex]×14

                            circumference of circle =88.

Angle of rotation =[tex]\frac{88}{14}[/tex]

                              = 6.29°