A soccer ball of diameter 32 cm rolls without slipping at a linear speed of 2.4 m/s. Through how many revolutions has the soccer ball turned as it moves a linear distance of 16 m?

2 answers

The speed has nothing to do with it.

The real question is how many circumferences is 16 meters

C = pi d = pi * .32 = 1.0053 meters circumference

n = 16/1.0053 = about 16 cicumferences
to find the revolution
first we need to get its circumference by multiplying its diameter with pi because its circumference is the distance it takes in one revolution.
c=pid= 3.14*(32/100)=1.0053
then if one revo= 1.0053 meter how many revo takes 16m
revo= 16/ 1.0053 =15.91564 which is close to 16 revo