Question

a bicycle wheel with a diameter of 26 inches is rotating 3 revolutions per second. what is the linear speed in feet/sec? use 3.14 for pi and round to the nearest tenth.

Answer 1

Given:

Diameter of the wheel = 26 inches

It rotates at 3 revolutions per second.

Let's find the linear speed of the wheel in feet/sec.

To find the linear speed, let's first find the circumference of the wheel.

Apply the formula:

`c=2\pi r`

Where:

π = 3.14

r is the radius = diameter/2 = 26/2 = 13 inches

Hence, we have:

`\begin{gathered} C=2*3.14*13 \\ \\ C=81.64\text{ inches} \end{gathered}`

Now, to find the linear speed, we have:

`Linearspeed=3\text{ }*81.64\text{ = }244.9\text{ inches/sec}`

Now, convert from inches/sec to feet/sec.

Where:

1 inch/sec = 0.0833333 ft/sec

Thus, we have:

244.9 in/sec = 244.9 x 0.0833333 = 20.4 feet/sec

Therefore, the linear speed in feet/sec is 20.4 feet/sec.

ANSWER:

20.4 feet/sec