Answer:
Speed of the bicycle is 6.96 miles per hour.
Step-by-step explanation:
Diameter of the wheel = 26 inches
Rotation of the wheel = 90 revolution per minute
We have to calculate the speed of the bicycle.
Since in one rotation distance moved by the bicycle = circumference of the wheel
Distance traveled in one rotation = 2πr
= \(2\times (3.14)(\frac{26}{3})\)
= 2×3.14×13
= 81.64 inch
Since rotation of the wheel is = 90 revolutions per minute
Therefore, speed of the bicycle = 90×81.64 inches per minute
= 7347.6 inches per minute
Since 1 inch = \(\frac{1}{63360}\) miles
Therefore, 7347.6 inches = \(\frac{7347.6}{63360}\) miles
= 0.116 miles per minute
\(0.116\frac{\text{Miles}}{\text{Minutes}}=0.116\times 60\frac{\text{miles}}{\text{hours}}\)
= 6.96 miles per hour
Therefore, Speed of the bicycle is 6.96 miles per hour.
