Final answer:
The provided information does not directly allow calculation of the time of takeoff roll, but it can be used to calculate the rotational speed of the aircraft's tires when it reaches takeoff speed.
Step-by-step explanation:
The question relates to the concept of takeoff roll in Physics, particularly the kinematics and rotational motion involved in an airplane's takeoff. To find the time of takeoff roll, one would typically need to know details like the length of the runway, the acceleration of the aircraft, and the final takeoff speed.
Unfortunately, the provided information does not include these details, but offers insight into the total velocity during takeoff and the tire rotation necessary to achieve this velocity.
In this particular question, it seems the student may have mixed up the terms or the question is incomplete, as the time of takeoff roll is not directly calculable from the given data (60.0 m/s speed and 0.850 m tire diameter). Instead, the data provided can help us calculate the rotational speed of the tires at takeoff:
To find the tire's rotational speed in revolutions per minute (rpm), we can use the formula:
Speed (v) = Radius (r) * Angular Velocity (ω)
Converting the tire's diameter to radius (r = diameter/2), and knowing the linear speed (v = 60.0 m/s), we can rearrange the formula to solve for ω, and then convert to rev/min to find:
Angular Velocity in rev/min = (ω * 60) / (2 * π)