At what speed in miles per hour will a bicycle travel if the rider can cause the 26-inch diameter wheel to rotate 90 revolutions per minute

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

                                                       =

                                                       = 2×3.14×13

                                                       = 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 = miles

Therefore, 7347.6 inches = miles

                                          = 0.116 miles per minute

= 6.96 miles per hour

Therefore, Speed of the bicycle is 6.96 miles per hour.

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step-by-step explanation: