Question

The wheel of one car has a diameter of 20 in. The wheel of another car has a a diameter of 24 in. About how many more revolutions must the smaller wheel make than the larger wheel to travel 100 ft?

Answer 1

Wheel of car A will make 3.2 revolutions more than car B to travel 100’

Explanation:

`Car A` diameter `d_a = 20”`, `Car B` diameter `d_b = 24”`

Circumference of car A wheel `C_a = pi d_a = 20pi”`

Circumference of car B wheel `C_b = pi d_b = 24 pi”`

No. of revolutions in 100’ by car B

`n_b = 100’ / (24 pi”) = (100 * 12) / (24 * pi) / = 15.9` revolutions.

No. of revolutions in 100’ by car A

`n_a = 100’ / (20pi”) = (100 * 12) / (20 * pi) = 19.1` revolutions.

Difference in number of revolutions between car wheels A & B

`n_a - n_b = 19.1 - 15.9 = 3.2`revolution.