Chapter 11, Problem 1E

To determine

To calculate the distance travelled.

Answer to Problem 1E

288 feet and 1 inch.

Explanation of Solution

Given information:

Bicycle tire has d diameter $d=22$ inches.

Formula used:

Circumference of a circle $c=\pi \times d$

Where ‘d’ is the diameter of the tire.

For calculation, $\pi =\frac{22}{7}$ has been used.

Calculation:

To calculate the distance traversed, find the circumference of the circular tire and multiply it with the number revolutions.

  $c=\pi \times d$

Formula of circumference.

  $=\frac{22}{7}\times 22$

Putting the value of the diameter in the formula.

  $=\frac{484}{7}$

Dividing the numerator by denominator.

  $=69.14$ inches.

Now, distance covered in 50 revolutions.

  $=50\times 69.14$

Multiplying the same.

  $=3457$ inches is the distance covered.

To convert this into feet, divide $=3457$ inches by 12. The quotient would be the feet covered while the remainder shall form part of the inches.

  $=\frac{3457}{12}$

Converting to feet and inches.

  $=288$ inches and $1$ inch.