Final answer:
To find the tire rotation speed at takeoff, calculate the circumference of the tire and divide the jet's takeoff speed by this value. Then, convert the result from revolutions per second to revolutions per minute to get approximately 1348.2 rev/min.
Step-by-step explanation:
To calculate the rotation speed of the tires on a commercial jet, use the given takeoff speed of 60.0 m/s and the diameter of the tires of 0.850 m. First, you find the circumference of the tires using the formula C = π * d, where π is approximately 3.14159 and d is the diameter of the tires.
This gives you C = 3.14159 * 0.850 m ≈ 2.67 m. The rotational speed in revolutions per minute (rev/min) is the speed of the jet divided by the circumference of the tires. So the tires rotate at 60.0 m/s divided by 2.67 m per revolution, which equals approximately 22.47 rev/s. To get rev/min, multiply by 60 seconds, resulting in approximately 1348.2 rev/min.