Answer:
The distance covered in 2.5 hours is 80100 feet.
Step-by-step explanation:
The angular speed in radians per second can be obtained as
[tex]\omega =\frac{2\pi N}{60}rad/sec[/tex]
where
N is the revolutions in rpm
Applying the given values we get
[tex]\omega =\frac{2\pi \times 170}{60}=17.8rad/sec[/tex]
Thus the speed of the tire is
[tex]V=r\times \omega [/tex]
where
r = radius of the tire =15 inches = 0.5 feet in the given case
Applying the given values we get
[tex]V=0.5\times 17.8=8.9feet/sec[/tex]
Thus the distance covered in 2.5 hours is
[tex]Distance=Speed\times Time\\\\Distance =8.9\times 2.5\times 3600=80100feet[/tex]
