$\"\"$

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 $\"\"$ .

Time : $\"\"$ min. \ \

$\"\"$ sec. \ \

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

$\"\"$

$\"\"$ rad. \ \

Consider $\"\"$ .

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

$\"\"$

Thus, the distance traveled by the point in 1 min is 4500 ft.

$\"\"$

The distance traveled by the point in 1 min is 4500 ft.