A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 235 m, and the car completes the turn in 33.0 s.

BolkowN 2021-04-15 Answered

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 235 m, and the car completes the turn in 33.0 s. (Enter only the answers in the input boxes separately given.)
(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors i^ and j^.
1. (Enter in box 1) ms2i^+( Enter in box 2 )ms2j^
(b) Determine the car's average speed.
3. ( Enter in box 3) m/s
(c) Determine its average acceleration during the 33.0-s interval.
4. ( Enter in box 4) ms2i^+
5. ( Enter in box 5) ms2j^

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Expert Answer

i1ziZ
Answered 2021-04-17 Author has 92 answers

here,
distance travelled , d = 235 m
time taken , t = 33 s
speed of car , v=dt
v = 7.12 m/s
let the radius be r
d=2πr4
235=2πr4
r=149.68m
centripital accelration, a=v2r
a=7.122149.68
a=0.34ms2
at angle of 35 degree
acceleration of car, a1=(cos(35)i+sin(35))a
a1=0.27i+0.19j
the acceleration when the car is at B located at an angle of 35.0 is (0.27i ms2+0.19j ms2)
(b) the car average speed is v
the car average speed is 7.12 m/s
c) initial speed of car, u1=7.12i ms
final speed of car, v1=7.12j ms
average acceleration =(v1u1)t
average acceleration =7.12j7.12i33
average acceleration =(0.22i ms2+0.22j ms2)
the average acceleration during the 33.0-s interval is (0.22i ms2+0.22j ms2)

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