Final answer:
To find the linear velocity of a tooth at the edge of the table saw blade, first calculate the circumference of the blade. Then, convert the circumference from inches to miles and multiply by the number of revolutions per minute and conversion factors to find the linear velocity.
Step-by-step explanation:
To calculate the linear velocity of one of the teeth at the edge of the 7-inch diameter blade, we need to first find the circumference of the blade.
The formula for finding the circumference of a circle is C = 2πr, where r is the radius.
In this case, the radius is half the diameter, so r = 7 inches / 2 = 3.5 inches.
Now, we can substitute this value into the formula to find the circumference: C = 2π(3.5 inches) = 7π inches.
To convert the circumference from inches to miles, we need to divide by the number of inches in a mile, which is 63360. So the linear velocity in miles per hour is (7π inches / 63360 inches/mile) * 3300 revolutions per minute * (1 mile / 5280 feet) * (1 hour / 60 minutes) = 0.127 miles per hour.
Therefore, the linear velocity is 0.127 miles per hour.