Question

A car has wheels with a 9 inch radius. If each wheel's rate of turn is 6 revolutions per second, how fast is the car moving in units of inches/sec

Answer 1

Answer:

v = 339,3 in/sec

Step-by-step explanation:

The wheels are moving at a rate of 6 rps (revolutions per second), and the length of the wheel is (L) is

L = 2*π*r        where r is a radius of the wheel

L = 2*π*9   (in)

L = 56,55 ( in)

L will be the traveled length by car in each turn of the wheel

Since the wheel has a rate of 6 turns by second, then we need to multiply de numbers of turns by second  times, the traveled length in 1 turn, in order to get the speed of the car

Then:

v ( speed of the car ) is:

v = 6 * 56,55 ( in/sec)

v = 339,3 in/sec