$\"\"$

If $\"\"$ (in radians) is a central angle in a circle with radius $\"\"$ , then the length of the arc cut off by $\"\"$ is $\"\"$ .

The angular velocity formula : $\"\"$ , where $\"\"$ is central angle measured in radians and $\"\"$ is time.

$\"\"$

Find the distance traveled by the point in 5 seconds.

Consider $\"\"$ .

Substitute the values of $\"\"$ rad/sec and time $\"\"$ sec in above formula.

$\"\"$

$\"\"$ rad.

Consider $\"\"$ .

Substitute the values of $\"\"$ rad and $\"\"$ inches in above formula.

$\"\"$

Thus, the distance traveled by the point in 5 seconds is 40 inches.

$\"\"$

The distance traveled by the point in 5 seconds is 40 inches.