Rudy takes 3 minutes to run around a circular track with a diameter of 130 meters. What is his speed in ft/sec?

To find Rudy's speed in feet per second, we first need to determine the circumference of the circular track, convert it to feet, and then calculate his speed.

The formula for the circumference ( C ) of a circle is given by:

[ C = \pi \times d ]

where ( d ) is the diameter. In this case, the diameter is 130 meters. Thus, the circumference in meters will be:

[ C = \pi \times 130 \approx 408.4 \text{ meters} ]

Next, we convert meters to feet. Since 1 meter is approximately 3.28084 feet, we convert the circumference:

[ C \approx 408.4 \text{ meters} \times 3.28084 \ \text{feet/meter} \approx 1345.58 \text{ feet} ]

Now we know that Rudy runs approximately 1345.58 feet in 3 minutes. To find his speed in feet per second, we first convert time from minutes to seconds. Since there are 60 seconds in a minute, 3 minutes equals:

[ 3 \text{ minutes} \times 60 \text{ seconds/minute} =