The tires on a new compact car have a diameter of 2.0 ft and arewarranted for 56

Question

The tires on a new compact car have a diameter of 2.0 ft and arewarranted for 56,000 miles. (a) Determine the angle (in radians) throughwhich one of these tires will rotate during the warrantyperiod.
1            ? rad

(b) How many revolutions of the tire are equivalent to your answerin (a)?
   ? rev (a) Determine the angle (in radians) throughwhich one of these tires will rotate during the warrantyperiod.
1            ? rad

(b) How many revolutions of the tire are equivalent to your answerin (a)?
   ? rev

Explanation / Answer

(a) Determine the angle (in radians) throughwhich one of these tires will rotate during the warrantyperiod.
1            ? rad

1 mile = 5280feet

1 revolution=3.14*2=6.28feet
56000*5280=?revolutions
so   47082802.5477707 revolutions.
1 rev=2rad
so 295680000radian



(b) How many revolutions of the tire are equivalent to your answerin (a)?
   ? rev
47082802.5477707 revolutions.

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