1. A racetrack is constructed such that two arcs of radius 80 m at A and 40 m at B are joined by two stretches of straight track as shown. In a particular trial run, a driver travels at a constant speed of 50 m/s for one complete lap. Let the magnitude of the centripetal acceleration of the car be ac, and the magnitude of the tangential acceleration be ar. A) Which of the following is true? Shwer at C. At point A, ac > a, and at point B, ac a, and at point B, ac > at. e. At point A, ac = a, and at point B, ac = at Faster B 40 m 80 m

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I only need help on 1C) I don't understand how i can get my answer close to 70.7 m/s

 

i don't understand what I'm missing when I've tried findind the angular speed(w) as (v/r) but that only gives me a very small number and when changing the equation to v=wr doesn't seem to help either

 

I'm not sure what I'm doing wrong, please show and explain to me, thank

1. A racetrack is constructed such that two arcs of radius 80 m at A and 40 m at B are joined by two
stretches of straight track as shown. In a particular trial run, a driver travels at a constant speed of
50 m/s for one complete lap. Let the magnitude of the centripetal acceleration of the car be ac, and
the magnitude of the tangential acceleration be at.
A) Which of the following is true?
a. At point A, a <a, and at point B, ac<at..
b. At point A, a <a, and at point B, ac > at
C. At point A, ac > a, and at point B, ac<at.
d. At point A, ac > a, and at point B, ac > at.
At point A, a = a, and at point B, ac = at.
e.
B) What is the ratio (acB/acA) of the centripetal acceleration at B to that at A?
a. 4
b. 2
c. 1/2
d. 1/4
e. None of the above
48 = A
a. 81.9 m/s
b.
70.7 m/s
C. 55.1 m/s
d. 35.4 m/s
e. None of the above
40
80
Faster
=1502
80
40 m
C) The maximum speed the car can safely go around curve B is 50.0 m/s. With what maximum
speed can the car safely go around curve A?
31.25 = 2500
80
LOM
Shwer
80 m
Transcribed Image Text:1. A racetrack is constructed such that two arcs of radius 80 m at A and 40 m at B are joined by two stretches of straight track as shown. In a particular trial run, a driver travels at a constant speed of 50 m/s for one complete lap. Let the magnitude of the centripetal acceleration of the car be ac, and the magnitude of the tangential acceleration be at. A) Which of the following is true? a. At point A, a <a, and at point B, ac<at.. b. At point A, a <a, and at point B, ac > at C. At point A, ac > a, and at point B, ac<at. d. At point A, ac > a, and at point B, ac > at. At point A, a = a, and at point B, ac = at. e. B) What is the ratio (acB/acA) of the centripetal acceleration at B to that at A? a. 4 b. 2 c. 1/2 d. 1/4 e. None of the above 48 = A a. 81.9 m/s b. 70.7 m/s C. 55.1 m/s d. 35.4 m/s e. None of the above 40 80 Faster =1502 80 40 m C) The maximum speed the car can safely go around curve B is 50.0 m/s. With what maximum speed can the car safely go around curve A? 31.25 = 2500 80 LOM Shwer 80 m
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