Originated From
AOL Search

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

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 265 m, and the car completes the turn in 36.0 s.

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

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.

(m/s2 i + m/s2 j)

(c) Determine its average acceleration during the 36.0 s interval.

(m/s2 i m/s2 j)

Liked this question? Tell your friends about it

Answers

Hi Jerica, first we make the calculation:

Time and length is given. V = 365 m / 36 s = -----m/s

average acceleration is a=(2 * V) / t = -----m/s2, it is the radial vector

then we have the x-vector in 35° = cos(35) * a = ----- m/s2

then we have the y-vector in 35° = sin(35) * a = ----- m/s2

I hope you can translate x / y to i / j. To understand the whole calculation, you have to watch the whole turn with an equal speed. Right after A you have an acceleration rectangular to the drive-direction. Cos is zero and goes with the turn to 1.00. Sin goes from 1 to zero. During the turn, sin^2 + cos^2 is always 1. At 35° it will be x=cos(35°) and y=sin(35°) of the unit circle with radius of 1, what causes you to multiply each time with the acceleration. The acceleration is caused by the fact, that the speed-vector at A has to slow down of the length of 265m to zero in 36 sec.

 

There is no better guide through darkness then your own balance

Related Questions

Other people asked questions on similar topics, check out the answers they received:

Asked: Nuclear Physics

When did the first nuclear explosion take place?

Asked: Perhaps PGroot could help me....

With a very small science problem. He seems to be our leading mathematician and scientist (judging by the number of questions he answers) so of course I should come to him. I will put the questions ...

Asked: Physics ! Calculate the electric potential energy ...

Physics ! Calculate the electric potential energy in a capacitor that stores 4.0 10-10 C of charge at 250.0 V.

Ask a Question... We'll forward it to people who know

More Questions

Traveling by van

Ya, If you want to avoid your sleep during your night then you can get anti sleep alarm to use during the night from http://www.spy3k.fr/Alarme_anti_sommeil_-_Rester_eveille_pendant_la_conduite.html .

How to find travel partner to share expenses for cross-country trip?

If you want to travel in the summer, you could post on a university bulletin board.

What is maximum utp cable length from speed touch dsl modem

If I understand what you are asking the maximum distance is 18000 feet for the round trip.

When to travel?

When you have enough money to get wherever you are going. Until then stay your ass home!