Asked by Yami
The driver of a car sets the cruise control and ties the steering wheel so that the car travels at a uniform speed of 13 m/s in a circle with a diameter of 100 m.
a) Through what angular distance does the car move in 3.70 min ?
b) What arc length does it travel in this time?
a) Through what angular distance does the car move in 3.70 min ?
b) What arc length does it travel in this time?
Answers
Answered by
Anonymous
circumference = pi * D = 3.14159 * 100 = about 314 meters
3.70 min * 60 s/min = 222 seconds
222 seconds * 13 meters / second = 2886 meters
2886 meters / 314 meters / revolution = 9.19 revolutions
9.19 * 2 pi radians / rev = 57.7 radians = 3308 degrees
arc length = 314 meters/rev * 9.19 rev = 2857meters
3.70 min * 60 s/min = 222 seconds
222 seconds * 13 meters / second = 2886 meters
2886 meters / 314 meters / revolution = 9.19 revolutions
9.19 * 2 pi radians / rev = 57.7 radians = 3308 degrees
arc length = 314 meters/rev * 9.19 rev = 2857meters
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.