The combined mass of a race car and its driver is 600. kilograms. Traveling at constant speed, the car completes one lap around a circular track of radius 170. meters in 60.0 seconds. Calculate the speed of the car
s=d/t
circumference over time
To calculate the speed of the car, we need to use the formula v = d/t, where v represents velocity or speed, d represents distance, and t represents time.
In this case, the distance traveled by the car is equal to the circumference of the circular track. The circumference of a circle can be found using the formula C = 2πr, where r represents the radius of the circle.
Given that the radius of the circular track is 170 meters, we can calculate the distance traveled as follows:
C = 2πr = 2π(170) = 340π meters
Now, we know that the car completes one lap around the track in 60.0 seconds. So we can substitute the distance and time values into the formula v = d/t:
v = (340π meters) / (60.0 seconds)
To get the answer, we divide the distance by the time:
v ≈ (340π meters) / (60.0 seconds) ≈ 17.9π meters/second ≈ 56.3 meters/second (rounded to one decimal place)
Therefore, the speed of the car is approximately 56.3 meters/second.