Question

There are 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, 3 feet in a yard, and 1760 yards in a mile 1) A race is 6.2 miles long. Use conversion factors and dimensional analysis to determine the length of the race measured in: a) yards. b) meters.

Answer 1

Answer:

a) 10912 Yards

b) 9977.93 meters

Step-by-step explanation:

We are given the following information in the question.

1 Meter = 100 Centimeter

1 Inch = 2.54 Centimeter

1 Foot = 12 Inch

1 Yard = 3 Foot

1 Mile = 1760 Yards

The length of race is 6.2 miles.

a) We have to find length of race in yards.

Since we know 1 Mile = 1760 Yards

Thus, 6.2 Miles = 6.2 × 1760 Yards = 10912 Yards

Thus , the race is 10912 yards in length.

b) We have to calculate the length of the race in meters.

Since we know 1 Mile = 1760 Yards

Thus. 6.2 miles = $\frac{(6.2)(1760)(3)(12)(2.54)}{100}$ = 9977.93 meters