Final answer:
To calculate the speed at which you are driving, we can use the formula v = rω. By using the values provided, we find that you are traveling at a speed of approximately 2.095 m/s.
Step-by-step explanation:
To calculate the speed, or linear velocity, at which you are driving, we can use the formula v = rω, where v is the linear velocity, r is the radius of the tire, and ω is the angular velocity of the tire. In this case, the tire makes 10 revolutions while driving for 15 seconds. To find the angular velocity, we can use the formula ω = (2πn)/t, where n is the number of revolutions and t is the time taken. Substituting the values, we get ω = (2π * 10)/15 = 4.19 rad/s.
Now, we can calculate the linear velocity using the formula v = rω. Substituting the values, we get v = 0.5 * 4.19 = 2.095 m/s. Therefore, you are traveling at a speed of approximately 2.095 m/s.